General Disclaimer

One or more of the Following Statements may affect this Document

This document has been reproduced from the best copy furnished by the

organizational source. It is being released in the interest of making available as

much information as possible.

This document may contain data, which exceeds the sheet parameters. It was

furnished in this condition by the organizational source and is the best copy

available.

This document may contain tone-on-tone or color graphs, charts and/or pictures,

which have been reproduced in black and white.

This document is paginated as submitted by the original source.

Portions of this document are not fully legible due to the historical nature of some

of the material. However, it is the best reproduction available from the original

submission.

Produced by the NASA Center for Aerospace Information (CASI)

https://ntrs.nasa.gov/search.jsp?R=19820025464 2020-05-17T00:09:39+00:00Z

A LI^

'NASA STt FACILI

ACCESS DEPT TY ,y

NA5A LI3?qRYA;^iES R=SEA'+CR, : f.NTER

MOFF-M FIELD, CALIF.

COPY

07No. oo-- i^A

April 1979

NASA Technical Memorandum 78564

(NASA-TH-'78584) USER'S t^AJUAL FOR N82-3.3340i INTERFACING A LEADING EDG.4, VORTEX ROLLUP

PROGRAM VITH TWO LINEAR 1?, ► dE1 METHODS (NASA)98 p HC A05/MF A01 GSCL 01A Unclas

G3/02 28809

User's Manual for Interfacinga Leading-Edge, Vortex RollupProgram with Two Linear-PanelMethodsB. M. E. de Silva and R. T. Medan

RUSANational Aeronautics andSpace Administration

NASA Technical Memorandum 78564

laser's Manual for InteoWiucinga Leading-Edge, Vortex RollupProgram with Two Linear-PanelMethodsB. M. E. de SilvaR. T. Medan, Ames Research Center, Moffett Field, California

NAMNational Aeronautics andSpace Administration

Ames Research CenterMoffett Field, California 94035

USER'S MANUAL FOR INTERFACING A LEADING-EDGE, VORTEX-ROLLUP PROGRAM

WITH TWO LINEAR-PANEL METHODS

B. M. E. de Silva* and R. T. Medan

Ames Research Center

SUMMARY

This report is intended to provide sufficient instructions for interfacingthe Mangler-Smith, leading-edge vortex-rollup program with a vortex lattice(POTFAN) method and an advanced higher order, singularity linear analysis forcomputing the vortex effects for simple canard-wing combinations.

INTRODUCTION

Lifting surfaces generate vortices that can strongly influence their ownaerodynamic characteristics and those of nearby surfaces. Because many air-craft fighter configurations permit and even attempt to take advantage of suchvortex-surface interactions, it is important to be able to predict the effectsof these interactions. A technique has been developed that combines an approx-imate solution for the leading-edge separation and vortex rollup off highlyswept lifting surfaces with two linear-panel methods to predict the vortexinteractions.

This manual is intended to demonstrate how to interface this leading-edge,vortex-rollup program with a vortex-lattice (POTFAN) code and an advancedhigher order linear analysis referred to as the advanced panel code (APC). Abrief outline of the leading-edge separation, vortex-rollup analysis, andmethod of solution are also presented.

MANGLER-SMITH METHOD

The leading-edge separation and vortex-rollup analysis presented here isused to obtain a geometrical definition of the separated sheet and subsequentvortex rollup. By using this geometrical definition, we modeled the vortexsheet in the linear analyses.

The theory (refs. 1-3) assumes slender-body conical flow in the cross-flow plane, giving a two-dimensional Laplacian as the governing equation. Thismeans that the flow field at each cross section is independent of the flow atany other station and that variations in the stream direction x are much

*NRC Research Associate

9

1

1 ^

smaller than those in the other directions, at least near the body. Therefore,the full potential 4^ satisfies the equation

(1 - M'2)Sxx + 0 y + 0 Z - 0 (1)

where the first term is negligible for highly swept wings. The general solu-tion of equation (1) is of the form

O(x,y,z) - Ux (Cos a) + U z (sin a) + O(x,y,z) (2)

where U is the free-stream velocity and a is the angle of attack. Theperturbation potential ^ and its derivatives vanish at infinity.

Combining equations (1) and (2) shows that 0 satisfies the two dimen-sional Laplacian

^yy + ^zz - 0

(3)

The conical-flow assumptions also mean that x must appear as a parameter inwhich must therefore be expressible in the form

^(x ,Y, z ) xoo(x , X) (N)

The equation of the free vortex sheet in cylindrical polar coordinates(fig. l(a)) is assumed to be of the form

S(x,r,6) = r - sf(A) - 0 (5)

where s is the wing semispan at some x station. So that

s - X cot A

where A is the leading -edge sweep angle. Two boundary conditions are appliedto the sheet:

1. The vortex sheet is a stream surface, so that

(U cos a + 0x ) Sx + -t Sr + 0 Sn - 0 (6)

Assuming I'DX 1 « U, equation (6) in conjunction with equation (5), becomes

0 xn^- s inX (7)

2. There is a zero pressure jump across the sheet, so that

ACp 0 (8)

^t ,

2

ORIGINAL PAI:'^ Z.:

OF POOR QUALITY

Using Bernoulli's equation

Cp U x - U ( jy2 + 0 z2 ) (9)

and therefore

ACp , 0 a"x U - A(^y 2 + mz 2 ) (10)

but

goy2 + 0z2) - aoa2 + 0n2) - 2(0a) AO ( 10a)m

where the subscript m denotes the mean tangential velocity across the sheet.Again, from equation (4)

^x x x y x z(lOb)

4ox ' X o0 - X A (y$y + zo,/ x AO r cos XA(^1(10c)

By substituting equations (10a) and (10b) in equation (1), the pressure condi-tion reduces to

A^ - A^ r cos X _14

a [ (11)

m

Figure 1(b) shows the cross-flow plane Z - y + iz at some x-station.The free sheet ABC from the leading edge A terminates at C, where the spiralrollup begins. For purposes of estimating the leading-edge wake shape, allthe vovticity within the spiral can be represented by an isolated vortex ofstrength 2nuUaR/'x, situated at the center D of a small circle of radius R,which joins smoothly the free sheet at C. Using equations (7) and (11), wecan show that the equation of the spiral as ;t approaches D is given by

r' - 9 (12)

where (r', 9') are polar coordinates relative to D.

The calculations are carried out in a transformed plane Z* with thetransformation (fig. 1(c))

Z*2 = ^2 - s2 '13)

in which the vortex sheet is assumed to be represented by a circular arcA*B*C* of radius rl, and length 2r i 8, and the rollup of the fed sheet isassumed to be eg4ivalent to a small circle of rad.i s r2 and center D*. The

3

applied at R* and

m - -rU sin Xn x

ORIGINAL PAGE ISOF POOR QUALITY

sheets join smoothly at C*. The transformation equation (13) enforces therequirements that the flow must be everywhere parallel to the wing surface.

It is assumed that the vort,cty distribution on A*B*C* is given by

Y W - Yo + y cos 4 - y sin r, (-0 < ; < 0)

(14)

The seven parameters (r l , r 2 , 0, p q yo , y r , y i ) are determined from the fol-owing seven equations derived from the boundary conditions and mathematicalcompatibility requirements.

1. Because the strengths at A* of the sheet and its image in the imag-inary axis must be equal and of opposite sign, then

Y = 0 at A*(C - -0)

Yo + y cos 0 + Y i sin 0 - 0 (15)

2. The free sheet A*B*C* must Join the spiralling fed sheet smoothlyat C*, so that the strength is continuous at C* (4 0)

2nUr2 !al 2

yo + Yr cos 0 Yi

sin 0 - x

1 -w

where the right side is the strength of the fed sheet at C*, al being thedistance A*D*.

3. The singular point of the transformation equation (13) is A*; there-fore A* must be a stagnation point. Mathematically, this is equivalent tothe condition

era _ 2Ur2a2 Y Y 180 al s— - ,U

0 sin 0 + ttU (0 cos 0 + sin 0) - 0 (17)

where a2 is the distance from D* to its image on the 0*Z* axis.

4. There is a zero resultant force condition on the vortex system simi-lar to that in reference 4. This is equivalent to the condition that the non-singular part of the induced complex velocity at D must be KU/s(2Z D - Zc).This results in two equations:

5. the normal velocity condition

4

ORIGINAL PAGr, Fla

OF POUR QUALITY

6. The zero pressure jump condition

A^Ado

r cos ^ - U (^C )m .

' applied at B*.

The variables Yr , yi , u are eliminated from equations (15)-(17) to give fourµ nonlinear equations for rl, r2, 0 0 yo with

0 < r2 < rl ; 0 < 0 < Tr/2 (18)

These are solved through a least-squares minimization using the CONMIN optimi-zation, package (ref. 5) .

STREAMLINE GENERATOR MODULE

The prediction of vortex rollup and vortex surface interactions for com-plete aircraft configurations must be made numerically. However, numericalmethods require an initial estimate for the shape of the shed vortex sheet.In certain cases (including in particular, the case of rollup from the leadingedge), the initial estimate must be reasonably accurate to guarantee conver-gence of the numerical method in a reasonable amount of time. Furthermore, areasonable first guess might permit some useful results to be computed byusing the trajectories of the vortices as input to POTFAN or APC. The Mangler-Smith theory provides such an initial estimate for the shape of the leadingedge separated sheet. To compute the flow field, the sheet is discretized sothat the separated wake is essentially modeled by a concentration of line vor-tices, which are described using vortex quadrilaterals. The vortex descrip-tion is thPl combined with a panel code in which the wakes are represented bydoublet panels, which are either constant in strength (POTFAN) or have a qua-dratic variation (APC). To align the vortex trajectories with the stream-lines, the corner points along the leading-edge wake are obtained by integrat -

ing the velocity field.

The streamline generator module used is capable of producing trajectoriesof vortices shed from the leading, trailing, and side edges of lifting sur-faces. Input consists of POTFAN geometry files describing the lifting surfacesand data necessary for carrying out the least-squares minimization as describedby equations (15)-(18). Output consists mainly of POTFAN wake geometry filesfor interfacing the corner points defining the wake trajectories with POTFANand APC. The streamline generator aligns the leading-edge shed wakes with thestreamlines by integrating the flow field

dV - (V N)N

(19)

where V ins the resultant velocity as computed by the Mangler -Smith theoryand N is the normal to the vortex-sheet equation (5)

5

xn- (rR)eN - GS -

x (20)Yx1 + (r - n)"

where ex is a unit velocity along the stream direction and (r,n) are thetwo-dimensional position and normal to the trace of the sheet in the cross- rflow plane.

For the free sheet the normal is along the radius of the circular arc inthe Z* plane. The corresponding components in the Z plane are given bythe transformation equation (13). For the spiral-fed sheet, the equation inthe cross-flow plane is given by equation (13) so that

f (r' , V) 3 r' - ;' - 0

n - Gf - Zc (l + au

(21)

cI

Equation (19) was integrated using an improved fourth order Runge-Kutta scheme.

POTFAN STRUCTURE AND ORGANIZATION

The basic operational structure for the POTFAN system is shown infigure 2 and consists if a batch of programs written in modular form. Eachof the modules is in an independent main program by itself. The modules com-municate with each other through files. The control statements required tohandle the files are supplied automatically by the program through the mecha-nism of command-format programming, which uses words or acronyms called"Commands" to control the action taken by the program. In addition, the pro-gram handles problems of variable size using dynamic memory allocation, thusenabling it to cope with large problems using a fixed amount of memory.

The operations are initiated through the POTGEM module that creates thegeometry files for the lifting surfaces. POTWAK uses the information storedon these files to create a wake file for the corner points defining the vortextrajectories. VVIM then generates the influence matrices for the lifting sur-faces while INFMAN adds in the effect of the semi-independent wakes to createa flow field v. The boundary conditions on the lifting surfaces are calcu-lated in BCDN. PSOLVE calculates the singularity strengths by solving thesystem of linear equations of the form

v N -U • N

(U + v)N 0

6

Finally, the forces and moments are calculated in POTFOR. Furtherdetails on some of the POTFAN modules are given in references 6 and 7. Torun the program requires the following job control cards:

POTGEM. create geometry filePOTWAK. create wake fileVVIM. calculate influence matrices

1INFMAN. add in semi-independent wakesBCDN. calculate boundary conditionsPSOLVE. calculate singularity strengthsPOTFOR• calculate and print forces and moments

7/8/9

Each card must begin in column 1. Any information typed in after the periodis considered a comment and may fill the entire card. The corresponding datainput decks are

7/8/9 POTGEM DATA.

7/8/9 POTWAK DATA.

7/8/9 POTFOR DATA.

In column 1 7/8/9 is typed, leaving column 2 blank. The organization of thedata required for each of the POTFAN modules is described in the followingsections.

POTGEM MODULE

This module generates panel corner-point descriptions for the liftingsurfaces. It involves the specification of suitable coordinate systems forcharacterizing the lifting surfaces together with automatic panel generationschemes. Basically, the input to POTGEM consists of "commands," which arc;usually followed by data. The couands direct the logic flow and the datadescribes curves, panel distributions, singularity types, body rotations, ref-erence lengths, etc. The output consists of printed output and one or moregeometry files. The geometry files contain the panel corner points, boundarycondition points, unit normals, and sundry other data. The geometry files areused by the other POTFAN modules that require geometry or singularity data.

Some typical input commands and their general ordering are describedbelow:

TITLEDSEGMENTC defines panels on each network

7

CARY,SRI1 -- geometry definitionSL,SU,VL,VU -- network boundary definitionSLBC,VLBC — corner and control point distribution definitionGRID — prints distributions defined in 5.RUSS -- rotate, shift and scale factors for network.PANL --DSFLAG •- type of shed vortex (t, ,Aadrilateral, horseshoe, etc.) .UVW -- reads in unit wake vectco'sFINISH --STAE stores the current geometry on a disk file or tape.PRINT -- prints geometry fileSTOP

A number of specific examples are given in the following sections illustratingthe sample cases that have been analyzed. The specific input requiring changeto run different but similar configurations is identified.

Table 1 illustrates the input deck for a flat delta wing of A - 1.5 andA w 74°, with a root chord 3.4874 and semispan 1.0 (fig. 3). To run a specificcase, only the following .aids need to be changed:

Card 7 -- NBPS . number of panels in the S-direction (chordwise)NBPV - number of panels in the V-direction (spanwise)

Table 1 shows that, with ray paneling, there are 16 panels in the chordwiseand 8 panels in the spanwise directions. For purposes of simplicity, a uni-form panel spacing; is used. More general lattice arrangements are possibleand the interested reader is referred to reference 6 for the correspondinginput layouts.

Card 18 — VAR2SV root chordCard 20 . — Along the leading edge VL referring to figure 3, VARISV speci-

fies the limits within which x varies, while VAR2SV specifiesthe bounds on the y variable.

Card 38 , — FLT(1) . reference area for normalizing forces and moments.FLT(2,3,4) - reference lengths for normalizing moments about

Ox, Oy, Oz (fig. 3) axes respectively.FLT(5,6,7) - direction cosines of the semi-infinite straightwakes. If these wakes leave the wing plane at an angle a/2,these numbers become cos a/2, 0, and sin a/2. '!

In the example, the wakes leave the wing parallel to its plane. Therefore,the direction cosines are equal to 1, 0, and 0.

Card 40 — Contains the geometry file identifier that may be changed atthe user's discretion.

All integers are input under a 1615 format with floating point numbers under a8F10.1 format. In addition, all command formats must begin in column 1 (forexample, cards 24-36, of table 1 and cards 37-57 of table 2).

8

Canard-Wing Combination$

Tables 2 and 3 contain the corresponding input decks for the simplecanard-wing combination of figure 4 and reported in reference 8. The canardand wing are assumed coplanar. The wing semispan is 25.4 cm with a mean Sao-metrical chord of 23.31 cm and area 516.1 cm 2 . The following cards only needbe changed in table 2 for the canard geometry definition with standard panels(figs. 4 and 5):

Card 5 — NBPS - number of panels in the S direction (spanwise).NBPV - Number of panels in the V direction (chordwise).

In the example there are 10 panels spanwise and 5 chordwise. Note that theS, V directions are interchanged (figs. 3 and 5).

Cards 19, 21 — the variable VAR2SV defines the range of variation of they coordinate of the leading edgo.

Cards 23, 24 — along the leading edge VL, VARISV - range within whichthe y-^oord pate varies, while VAR2SV specifies thecorreavolAing values for the x variable.

Card 26 -- along the trailing edge VU, VAR2SV - range within whichx varies

Cards 34, 35 — RSHIFT(2) - y-coordinate of the old origin in the newsystem obtained by suppressing the fuselage.

Cards 53, 56— the direction cosines of the semi-infinite waksas from thetrailing and'side edges.

In table 2, these leave at an angle of 20° to the canard plane.

Card 59 — FLT(1,2,3,4) - as defined in table 1.FLT(10) - x coordinate of point about which moments are taken.The default value is 0 in table 1.

A similar setup prevails in table 3 for the wing, where the cards needingchange are:

Cards 5, 19, 21, 23, 24, 26 — changes analogous to those in table 2 forthe canard.

Cards 39, 40 corresponds to cards 34 and 35 of table 2.Card ,45 ^- this defines the point on the wing leading edge at which

separation begins. This is defined in terms of the cor-responding spanwise panel on wing.

Cards 58, 61 — corresponds to cards 53, 56, of table 2.Card 64 — corresponds to card 59 of table 2.

In table 3, separation begins from the 11th panel. This is slightly outboardof the canard. If the panel number were 10., then separation from the wingwould begin at the point of intersection of the canard tip line with the wingleading edge.

9

I

Card 32 -- the AVLC command adjusts the corner and grid-point descriptionsof the WArsections of the wing leading edge with the corner-and contkil-point gria lines. The required nondimensionalcorner-point location XADJ is calculated from the formula

XADJ - 2 0orrected y coordinate of canard tip\ 0.5

wing semispan !!

This number should lie between (-1, 1). The corner point nanr-eat the XADJ will be made equal to XADJ.

To calculate the corrected y coordinate of canard tip, POTGEM is run on astand-alone basis for the canard. A partial listing of the correspondingPOTGEM output is shown in table 4 under the heading PANEL CORNER POINTS. Thesuffixes I, kil denote the spanwise and chordwise variations respectively,with J - 1, corresponding to tlie leading edge of the canard. They-coordinate of the last panel point (I - 11) is the required point. Itsy coordinate is 13.1121951, so that

XADJ - 2 ( 13.1121951 ) - 0.5 - 0.214654479`25,40 - 3.81

As an added check, the corresponding y coordinates up to I - 11 for thePOTGEM wing program must be identical for the wing and canard, The spanwisepanels for the canard and wing were generally selected according to the rule ,

(NBPS)c - canar_d semispan(NBPS)w wing semispan

POTWAK Module

This module generates the corner points for the vortex trajectories bysolving the equations of the Mangler-Smith theory. The leading-edge wake-corner points are generated by an improved Runge-Kutta numerical integrationof the flow field equations 19. In addition, there is a graphics capabilityfor the display of the vortex trajectories. The program expects the followingdata to be entered by the namelist $DATA.

NSEGS — number of segments for discretizing each wake line from the lead-ing edge. For highly swept wings at moderate angles of attack avalue of 150 is generally found to be adequate. As the angle ofattack decreases, NSEGS must be increased.

ALPHA— angle of at`.ack in degrees. Default is 15°.

UINF — free-stream velocity. Default is 1.0 in nondimensionalized units.

ID — Identification number of the corresponding lifting surface geometryfile. For the wing-alone case this number is given on card 40 oftable 1.

10

t

a

PLOT - Logical variable whose truth causes the wake and lifting surfacegeometry to be plotted on the US picture system. Default is .FALSE.

STORE - logical variable whose truth causes the wake and lifting surfacegeometry information to be stored on permanent file. Default isTRUE.

IDWAKE - identification number of the wake file. MAKE is not requiredif STORE-.FALSE.

{

DELTAX - x direction step used in calculating the leading edge vortextrajectories. Default of 0.1 in nondimensionalized units. DELTAXmust increase in proportion to NSEGS.

Rl -- estimate of radius of the circular arc in the Z* plane represent-ing the free sheet. Default in nondimansionalized units is 0.0765.

iR2 - estimate of radius of the circle representing the fed sheet in the

Z* plane. Default is 9.25E-3.

THETA - estimate of half angle subtended by the finite circular arc inthe Z* plane. Default is 1.24 rad.

GAMO - estimate of parameter associated with the vorticity distributionon the free sheet. Dafault in nondimensionalized units is -0.06384.

ITASHN - station code for the disposal of the plot file. The initialdefault value is 1, which will cause the plot file to be sent tothe FAE PDP-11. A value of 2 causes the file to be sent to theRJE terminal in Building 227 and a value of 3 causes it to be sentto the central-site printer. STASHN is not required if PLOT-.FALSE.

IRKN - to reduce NSEGS to manageable levels, the integration scheme usesa number of intermediate points to generate a single Runge-Kuttapoint. This number is represented by IRKN. For angles of attackthat are suf! :iently small either NSEGS must be large or IRKN mustbe increased. This also applies if the wing is not sufficientlyswept. Suggested values are NSEGS . 150 and IRKN - 10.

VLB, VUB, IPRINT, NCON, NSIDE, INFO, ITMAX, ICNDIR NSCAL SCAL, ITRM,CTL, CTLMIN, PHE, DELFUN, DABFUN, FDCH, FDCHM, THE, NFDG, LINOBJ, CT,CTMIN - CONMIN parameters defined in reference 5. The CONMIN parameters

PHI and THETA are denoted here by PHE and THE. For the optimizationtechnique to converge it was generally found that the finite differencing parameters FDCH and FDCHM for estimating the function deriva-tives must be small -1.E-9. This is because of the presence oftrigonometric functions in equations (15)-(17), which could giverise to multiple solutions for the least-squares minimization.These parameters need not be changed in normal use.

11

TFLAC, ILINL, IYLO, IY111, IZLO, Rill, IAROMIN, IARQHAX — paralriiners usedin tie subroutines for the picture system as defined in reference 9.These parramoters need not be changed,

A typical listing is shown in table 5 for cite deltaa wing whom configura-tion is described in table 1 0 corresponding to an angle of attack a ,. 200.

Tito dot'sult values for the Manglar-Smith parameters 91, i:2 0 THETA, and GAMOare thoso appropriate to ar 60" delta wing at 15° angle of attack, 'Thesedefault values were found to be adequate for all tine cases run and Save veryrapid ronvorgence. For a wing with ray paneling, the number of wakes shedfrom tine leading edge is given by

NUNLS - NOPS + 1.

Currently, NSECS*NLIN gS U 10000,

'file picture system displarys the landing-edge vortex trajectories in Litecrown-flow plan^a, Ott (y,z) coordinates being scaled with respect to tinestream coordinate x (fig. 6). 'Tile conical-'low Assumptions imply that thesetrajectories ,rust coincide for, different x-stations. Tine straight segmentsrepresent the semi-inf'i.n:i.te line vortices from tine trailing edge, ']'his isfollowed by orthogonal perspectives of Lite trajectories, figure 7.

`.Cable G siaowrq the. of the wnko geometry output files, con-sisting of it number of records Arranged according to the PO T irAN formats.Record I contains information relating to the .flow-field chararctoristics, theniimbor of wakes NLINLS shed from the leading edge, tiler number of pointsNSEGS describing each wake, the wake file identification, nand other sundry3?OTGLM data. Record 2 contains tine wake corner-point arrays XWAKC, WAKE,and ZWAKE, Records :3-5 contain miscellaneous information that enables POT,WAKto Converse smoothly with the rather POTFAN modules as and when tine need arises,

To run the canard-wing cease it is necessary to call. PO'i'GEM. twice withdifferent Identifications. For example, the canard file could have anID .* 5701, while the wing has nail 11) .. 8702. This is than followed by twocalls of POTWAK with corresponding We iii its input. 'Tito output filets fromPC?' GMI and POTWAK can now be used to access they other ljOTFAN modules neededfor the aerodynamic calculation.

VVIM Module

The VVIM module computes the i.nfltionce matrices for the lifting surfaces,each element of the matrix representing the affect of ar unit singularity suchas horseshoe or quadrilateral vortices. VVIM is needed to form part of theset of simultaneous linear equations that represent the boundary conditionsappropriate for given angles of attack. Input to VVIM consists of geometryfilms and user input-. Tits user input consists of commands (which direct thelogic .flow) and data needed to nxfect the commands. The major commands inVVIM are the following: BREAD com mands, which cause tale geometry of sending(influencing) and/or receiving (influenced) components to be read in; IMAGE,

12

which causes the appropriate image matrices and offset vectors to be calcu-lated; COMPRESSIBILITY, which causes geometries to be stretched to account forcompressibility effects and which causes the velocity stretching data to becomputed; SETWAKES, which can be used to change the wake shedding direction;and INF1, which causes the actual influence matrix calculation and storing.

Output from VVIM consists of printed output and influence matrix files.The influence matrix files are used by PSOLVE, which is the equation -solvingmodule, and by POTF 'OR, which is used to calculate forces, pressures, etc.

Table 7 shows the VVIM input deck for the wing -alone case of tables 1and 5. No changes are needed in this deck to run different cases. Card 4shows that the POTGEM file is accessed through ID - 30701. Card 6 instructsVVIM to store the boundary condition information on a disk file withID - 321. NRWMAX is the number of lifting surface networks.

Table 8 shows the VVIM input deck for the canard -wing case of tablesand 3. This table is divided into four blocks; each block is similar instructure to table 7. This division corresponds to a partitioning of theinfluence coefficient matrix for the lifting surface into four submatricesrepresenting the canard -wing interactions

Ar (-ASEL^c^w- rcAwc Aww rw

The canard-wing case was run at a Mach number of 0.3 (card 15), so that thePrandtl-Glauert compressibility effects must be included in the calculations,while tab?,e 7 corresponds to a zero Mach number, so that the COMP command isnot needed. The canard POTGEM file was accessed through ID . 8701, while theID for the wing geometry file is 8702. The resulting partitions Acc, Acw•Arc , and ^Aww are stored on disk file with respective ID's - 8801, 8802,8804, and 8803. The only card which needs to be changed is card 15 for theMach number. To calculate the singularity strengths r, it is necessary toaugment the lifting surface, influence matrix A to include the effects ofthe wake networks. This is done in the INFMAN module. The output from VVIMconsists primarily of the normal components of the induced velocities due tothe lifting surfaces. In INFMAN the effects of the shed wakes are added tothe normal velocity components to give v.N term in equation (22).

INFMAN Module

Wakes may be treated either as completely independent networks or asparts of the lifting surfaces to which they are attached. Treating wakes asindependent networks is disadvantageous because unnecessary unknowns are intro-duced and because pressures on panels adjacent to wake attachment lines willbe incorrect. Treating wakes as integral parts of the lifting surfaces towhich they are attached is disadvantageous because this limits wake shapes tobe in the form of singly ruled surfaces, which is unsatisfactory in the case

(23)

13

of leading- and side-edge rollup, or both, because it results in inaccuraciesduring calculations of the influence matrices.

The INFMAN nodule can therefore handle generally shapk_1 wakes and yet becognizant of the fact that wakes are attached to and dependei,h on their gener-ating surfaces. INFMAN uses the wake corner points generated in POTWAK tocompute the influence of these finite vortex segments through the Hiot-Savart {law. This is then added onto the velocity field computed in VVIM resultingfrom the lifting surfaces to give the resulting perturbation velocity v_.

Table 9 shows the INPUT deck for the wing-alone case of tables 1, 50and 7. Some of the command formats used are described below:

1. VNADD — thi,s causes the influences of one or more wakes to be added tothe normal influence matrices (i.e., velocity-dot-normal) that donot include the effects of the shed wakes.

At this point, the program expects the following data to be entered by thenamelist $DATA.

NCOMP — number of lifting surface networks. Default is 1.

NIWKS — number of independent wake networks. Default is 1,

IDGEOM -- array of identification numbers of the geometry files for eachlifting surface.

IDWKGM -- corresponding array for the wake file.

IDIN -- array containing the identification numbers for the normal influ-ence matrices for the lifting surfaces including the effects of theshed wakes.

IDOUT - -array containing the identification numbers for the revisedmatrices including the effects of the shed wakes.

COROPT -- integer defining the specific type of core model. Cores areused to alleviate unrealistically high velocities near the finitestrength line vortices that are used to represent each wake.

CORPOT J creates uniform core sizes.

COROPT 2 creates core sizes that generally depend on the geometry ofthe wake. In particular, this option usually results in core sizesthat are equal to a certain fraction of the "distance" between asegment and the closest other segment that is not on the same wakeline.

xPARAMC — Array containing parameters defining the core size. The only

one of interest to the user is the first element PARAMC(1), givingthe core radius corresponding to the COROPT option.

14

2. VEADD — this command causes the influence of the shed wakes to be addedto the velocity influence matrices that do not include shed wakes.

3. VEADD, V2ADD — similar status to VEADD.

The VNADD command is addressed pr1marily towards enforcing the boundaryconditions of equation (22) by forming the v.N terms. Commands VIADD, V2ADDenable the resultant velocity field (v + U) Co be computed in POTFOR.

From figure 3, the length of the wing leading edge is

3^ + 1 - 3.6279. With 16 chordwise panels and for a constant core sizemodel COROPT . 1 the panel spacing along the leading edge is given by3.6279/16 - 0.2267. Card 5 in table 9 shows the core radius PARAMC(1) to betaken as half this value. As before, the geometry and wake files haveID - 30701. The ID for the v. N matrix in card 4 is IDIN - 3201, thus over-writing the ID for the corresponding matrix without shed wakes, cards 6, 8, 10of table 7. The velocity matrix v has an identification IDOUT - 3202.

Table 10 shows the corresponding INFMAN deck for the canard-wing Case oftables 2, 3, and 8. This consists of two blocks each of which has essentiallythe same )tructure as table 9 for the single-lifting-surface case. This usesthe two geometry files with IDGEOM - 8701, 8702. For the canard the wakefile has IDWKGM - 8701. The v .N partitions for the canard correspondingto Acc , Acw of equation (23) has IDIN . 8801, 8802, thus overwriting thecorresponding IDIN in table 8 (cards 17, 19, 21, 31, 33, 35). The v matricesare stored with new IDOUT - 9901, 9902. Similar remarks apply to card 19 oftable 10 for the wing. The normal influence matrix of the wing is stored on adisk file with IDIN - 8804, 8803, with the veioctty influence matrix havingIDOUT - 9904, 9903. Cards 7 and 20 show that the canard and wing use a uni-form core model.

From figure 5, the length of canard leading edge is 21.685 with 10 span-wise panels so that the spacing along the canard leading edge is 2.1685.Card 7 shows that the core radius PARAMC(1) has been taken to be half thisvalue. Card 20 gives the corresponding value for the core radius associatedwith the wing. It should be remembered that separation from the wing leadingedge takes place outboard of the canard.

The INFMAN module consumes the major portion of the CPU time. If theprogram exits on time, restart operations from INFMAN with the commands VNADD,VEADD, and VIAUD replaced by VIADD, VEADD, and STOP, respectively. The onlycards needing change are card 5 of table 9 and cards 7 and 20 of table 10.

BCDN Module

VVIM in conjunction with INFMAN generates the normal influence matrixv.N of equation (22). The BCDN module computes the U .N matrin, from whichthe singularity strengths can be then calculated by solving the set of linearequations (22). These boundary conditions are enforced at one point of eachpanel oI the lifting surfaces.

15

Input to BCDN consists of POTFAN geometry files and user input. The userinput consists of commands and data needed to effect the commands. Includedin this data are geometry-file identification numbers, angles of attack andsidesl It, and rotation rate vectors.

Output consists of printed output and boundary-condition files. Theboundary-condition files are used by PSOLVE (the equation solving program)because they form the right sides of the systems of equations that generallyoccur when analyzing aircraft by the panel method.

Table 11 shows the input deck for the wing-alone case. Some of the BCDblcommands involved are listed below:

GREAD — reads in the required geometry information. For the wing-alonecase this ID is 30701.

BCREAD — reads in boundary condition information such as ALPHA-angle ofattack and NSETS-number of sets of boundary conditions to becompeted.

CBCV — computes the right-hand side matrix U.N.

SBCV — stores this in a file; the corresponding ID in table 11 is 3201.

Tables 12 and 13 show the BCDN input structure for the canard-wing case.Module BCDN must be called twice, once to set up the canard boundary condi-tions using canard geometry file 8701 and store this information on a filewith ID - 8801. This is followed by a second call of BCDN for the wing withID - 8702, 8802. For the wing-alone case (table 11) only the angle of attack,ALPHA in card 4 needs changing. For the canard-wing case of tables 12 and 13,no changes need be made. The angles of attack appearing in cards 4 are sub-sequently overwritten in POTFOR.

The linear equations (22) are solved in PSOLVE for the singularitystrengths.

PSOLVE Module

PSOLVE uses ati LU decomposition method with partitioning developed by theBoeing Company. Input to PSOLVE consists of influence matrix files created byVVIM and INFMAN, right-hand side vectors created by BCDN, and u4w input. Theuser input consists of commands and data needed to effect the commands.

The output from PSOLVE consists of printed output, solution files, andinverted or partially inverted influence matrices. The solution files areused by POTFOR to calculate the forces, moments, pressures, etc.

Tables 14 and 15 display the PSOLVE input decks for the wing-alone caseand the canard-wing case, respectively. These decks need not be changed duringruns. The user input is entered by the namelist $DATA and consist of:

i

16

NCOMP -- number of lifting surfaces. Default is 1.IDIN — influence matrix ID.IDBC — boundary condition (-U.N) ID.IDS -- solution file ID created as a result of PSOLVE.

For the wing-alone case IDIN a 3202, corresponding to IDOUT 3202,card 4 of table 9. Again, IDBC - 3201, corresponds to card 7 of table 11.The solution ID is now carried over to 3201, overwriting previous information.

Table 15 is essentially a generalization of table 14. Elements of theIDIN array of table 15 correspond to IDOUT in cards 6, 19 of table 10.IDBC a 8801, 8802 is transmitted by cards 7 of tables 12 and 13. The singu-larity strengths re, rw , corresponding to the canard and wing, respectively,are stored in files with IDS - 8803 0 8804.

POTFOR Module

Finally, POTFOR calculates the forces, moments, pressures, etc., usingthe Kutta-Jankowski equation

AP - cr_y xAt

(24)

Input to POTFOR consists of POTFAN velocity-influence matrix files, solu-tion files, geometry files, and user input. The user input consists of com-mands and data needed to effect the commands. The seven major POTFOR commandsare the following (tables 16 and 17).

1, READ — reads in geometry and singularity data for a network. The follow-ing data is expected from the $DATA namelist.

IDG ID of geometry file.

For table 16, this is 30701, while for the canard-wing case of table 17IDG . 8701 for the canard file and IDG - 8702 for the wing geometry file(cards 4, 5, 31 and 32).

2. ATTITUDE — this causes attitude data to be read in. The following datais entered via $DATA namelist.

IDSF - ID of solution file. This is the output from PSOLVEmodule.

For the wing-alone case IDSF n 3201, card 3 of table 14. For the canard-wingcase IDSF - 8803, 8804, from card 2 of table 15.

3. COMBOS — this command determines a transformation matrix from which the"combinations" may be determined from the "cases." By definition, acaste corresponds to a boundary condition vector calculated by theboundary condition program and for which a solution vector wasdetermined by the equation-solving program. A combination is a

17

^M

i.linear combination of cases. For example, the solutions for twodifferent angles of attack may be combined to yield solutions formany different angles of attack.

This command must be preceded by a READ command. All groups are droppedexcept those containing the geometry information. Subsequent commands maythus overlay whatever force information has been computed at this point.

The COMBOS command is regw'.red after every ATTITUDE command provided thatthe desired combinations are different from the cases.

The program expects the following input by the $DATA namelist:

NCOMB - :Cumber of combinations.ALPHA - angle of attack.

4. NETLOADS — this calculates the net forces and moments using the Kutta-Jonkowski equation (24). The following data is input from the $DATAnamelist:

NCOMP - total number of lifting surfaces. Default is 1.

IDVE - identification numbers for the boundary condition veloc-ity Influence matrices,

IDS . ID for the solution vector of the lifting surfaces thathave a velocity influence on the current surface.

PRINTV - logical variable whose truth causes the net velocitiesat the boundary condition points to be printed. Defaultis .FALSE.

In table 15, IDVE corresponds to IDOUT - 3202 of the INFMAN module(table 9), while IDS corresponds to IDS - 3201 of PSOLVE (table 14). Asimilar generalization holds for table 17, in comparison with tables 10 and 15..

S. PRESSURES -- computes pressure distributions on the lifting surfaces.This requires the following data:

POPT - 0 computes pressure in the usual way (^P.N/area), thedefault value.

6. SPANLOADS — calculates span loads and requires the following input in A$DATA namelist:

SOPT - integer variable whose value determines what types ofspanloads will be calculated. Default is 0. This causesthe spanloads to be normalized by the local chord andresolves in the wind-centered coordinates. This producessection lift and induced drag.

18

SOPT - 1 spanloads normalized by average chord CAVE,

CAVG - FLT(3) of POTGEM

7. NETK — similar in purpose and organization to the NETLOADS command, but•+ can also include edge suction forces for thin lifting surfaces.

From the user standpoint however, table 16 for the wing-alone case needsno changes, while table 17 for the canard-wing case requires only one change

rfor the angle of attack at card 9

POTFOR Outputx

The POTFOR output for the wing-alone case is displayed in table 18. Theforces, moments, and pressures are calculated from equation (24). The POTFANprogram uses two versions of this formula: an approximate or modified versionthat uses the mean velocity over each panel. This is computationally fasterand better able to model curved surfaces. The exact version uses the correctvelocity v on the panel boundary and gives good agreement with experimentfor the wing-alone case. The approximate version consistently gave worseresults. However, for the canard-wing case, sometimes the approximate ver-sion performed better. In table 18, the first eight outputs correspond to the

c = approximate version and the last three to the exact version.

1. VELOCITY AT CONTROL POINT LOCATIONS: This contains the velocity compo-nents u, v, and w at each of the panel control points at which theboundary conditions 22 are enforced. 13 - 1 indicates the wing has

E' no thickness or camber.

The index 12 runs from 1 to NBPV - 8, which is the number of spanwise panelsand Il runs from 1 to NBP9 - 16, the number of chordwise panels. The raynearest the leading edge corresponds to 12 - 1. The u,v components on thisray are fairly uniform near the apex and trailing edge, indicating nearlyconical flow. However, within the interior of the wing, the flow field isless conical. The w-components throughout are very small, as indeed theymust be, because the flow must be tangential to the wing as indicated by equa-tion (22).

2. NORMF, NORMM, ADD: These are defined by:

NORMF . normalization factor to convert dimensional forces tocoefficients;

NORMM(1,2,3) . normalization factors to convert dimensionalmoments to nondimensional coefficients;

ADD - logical variable whose truth causes accumulation offorces and moments.

19

NORMF, NORMM(1,2,3) are defined by:

NORMF - 1/FLT(1);NORMM(1) . NORMF/FLT(2);NORMM(2) - NORMF/FLT(3);NORMM(3) - NORMF/FLT(4)

where FLT is accessed through the geometry files. Table 1 shows thatFLT - (1.7437, 1.0, 3.4874 , 1.0), so that NORW .- 0.513 as indicated in theoutput display.

3. 0OMBINATION:1 lifting surface. (FX,FY,FZ) and (MOMX,MOMY,MOMZ) are thenet force and moment coefficients on the network. (FXW,FYW,FZW) arethe force coefficients in the wing centered coordinate system withFXW - drag, FYW - side force and FZW - lift. (MOMXW,MOMYW,MOMZW)are corresponding the moments coefficients with MOMXW - rollingmo: +- t, MOMYW - pitching moment, and MOMZW - yaw moment.

4. COMPUTAM.A OF PRESSURES: The default value of SOPT in the PRESSUREcommand is POPT - 0. In figure 3, S,V corresponds to the x,ycoordinates. Table 18 then shows the spanwise variation of pressurecoefficients.

5. SPANWISE LOAD DISTRIBUTION; Reference chord . CAVG - F"J(3) of POTGEM.Components of the force on each spanwise row of panels are FXBW,FYBW,FZBW. These forces are made nondimensional by the product ofthe dynamic pressure and CAVG. These are expressed in the wind cen-tered coordinate system. For a wing with ray paneling the longi-tudinal load coefficient is given by

C Ts

s 4Cpdy

n -b/2 - (FXISW) 2 + (FZB (25)

where b is the wing span and s is the local semispan.

6. VELOCITY AT NI FORCE SENSING LOCATIONS

7. NET FORCES CAUSED BY NI VORTEX SEGMENTS

8. VELOCITY AT N2 FORCE SENSING LOCATIONS: This velocity information is notdirectly relevant to the user. It contains intermediate calcula-tions for assembling the velocity contribution in the N1, N2 direc-tions. The correct use of equation (24) requires the velocities becalculated along the panel boundaries rather than using a mean veloc-ity at the control points. POTFAN arranges the corner points in arectangular grid sparated by directions N1, N2 corresponding thenumber of corner points along the leading edge, and number of pointscharacterizing each shed wake.

20

The composite effect is described in the following headings, which givethe output of the second method of computing the forces and pressures.

9. NET FORCES CAUSED BY N1 AND N2 VORTEX SEGMENTS: These give the force andmoment coefficients for the exact use of 24.

' 10. COMPUTATION OF PRESSURE

11. SPANWISE LOAD DISTRIBUTIONS

The layout of the output for the canard-wing case is virtually the same,and comes in two blocks corresponding to the canard and wing, respectively.

The Advanced Panel Code

The user's manual for operating the pilot version of the APC is given inreference 10. The user has to prepare a subroutine INPUT written according tothe specifications given in reference 10. This must contain in particular, amechanism for calculating and accessing the wake corner points for the leading-edge vortex trajectories. This interfacing is done through POTFAN geometryand wake files.

Table 19 contains a listing of the subroutine INPUT for the wing-alonecase already encountered in POTFAN. The user input is entered through name-lists DATAO, . . . O DATA4. The variables involved are defined through a seriesof comment cards. The program distinguishes lifting surface networks and wakenetworks through an integer NTD. which is 18 for a wake and 12 for a liftingsurface.

There are two wake networks: a wake network from the leading edge and asemi-infinite sheet from the trailing edge. The m • st convenient way of gen-erating the latter is to create a second fictitious semi-infinite rectangularwing attached to the trailing edge of the actual wing. This is done through aPOTGEM file shown in table 20, which is very similar to table 1.

A rectangular wing of length 9500 units and semispan 1 is used. Thisarrangement has 15 panels spanwise and one chordwise panel. The ROSS commandis used in cards 30, 31 to position the wake at the wing trailing edge. ThePOTGEM file for the actual wing is identical to that in table 1. While POTFANwas not sensitive to the direction of the final semi-inf iaite vortex segmentfrom the leading edge, the APC was sensitive to this direction. It was founddesirable to orient this line at an angle a/2 to the plane of the wing. Sothat FLT(5) on card 33 must be replaced by cos a/2, 0, sin a/2. It should benoted that NBPS for the trailing-edge wake, card 6 of table 20 must have thesame value of NBPV for the wing, so that the grid point along a common bound-

_• ary are identical.

The data for the subroutine INPUT is given in table 21; almost all ofthis data block are APC variables which are described in referance 10. Thedata organization is summarized below:

21

First read statement at line 71.Second read statement at line 218.Third read statement at line 221.Fourth read statement at line 257Fifth read statement at lice 259 •--Sixth read statement at line 362 —Seventh read statement at line 381Eighth read statement at line 383

I

Read in $DATA2 namelist.Read in $DATA3 0 within the DOLOOP1000.^$DATA1$DATA4$DATAO- $DATA1$DATA4

A

The leading-edge wake corner points are accessed between lines 360 and379. This is the information contained in table 6. The subroutines OPENRand RELFIL are part of the POTGEM module and are described in reference 6.The APC uses a main overlay program called FEE, which must have its argumentlist expanded up to tape 20 to be compatible with the POTFAN disk file systemso that

OVERLAY (FEE,0,0)

PROGRAM VEE (INPUT, OUTPUT, TAPE1,.....TAPE 4, TAPE 5 a INPUT, TAPE 6 - OUTPUT,TAPE 7......, TAPE 20)

STOPEND

This sequence of cards is placed at the end of the subroutine INPUT. Thejob control cards are shown in table 22. The program organization is &hown infigure 8.

A major drawback of the technique is the current upper limit of a 1000panels for all the networks. To get realistic results for the wing-alone caserequires about 990 panels. It is felt that currently comparable results arenot possible for the canard-wing case with this restriction.

22

REFERENCES

1. Mangler, K. W.; and Smith, J. H. B.: Calculation of Flow Past SlenderDelta Wings with Leading Edge Separation. RAE, Farnborough ReportNo. Aero. 2593 0 May 1957.

2. Mangler, K. W.; and Smith, J. 11. B.: A Theory of Slender Delta Wingswith Leading Edge Separation. RAE, Farnborough Report No. Aero. 2442,April 1956.

3. Mangler, K. W.; and Smith, T. H. B.., A Theory of Flow Past a SlenderDelta Wing with Leading Edge Separation. Proc. Roy. Soc. (London)A251, 1959 0 pp. 200-217.

4. Brown, C. E.; and Michael, W. H.: Effect of Leading Edge Separation on theLift of a Delta Wing. J. Aaron. Sci., vol. 21, 1954 0 pp. 690-706.

5. Vanderplaats, G. N. CONMIN, A Fortran Program for Constrainc FunctionMinimization, Users Manual. NASA TM X-62 1 282, 1973.

6. Medan, R. T.; and Bullock, R. B.: NASA-Ames Potential Flow Analysis(POTFAN) Geometry Program (POTGEM), Version 1. NASA TM X-73 0 127, 1976.

7. Davis, J. E.; and Medan, R. T.: NASA-Amos Three-Dimensional PotentialFlow Analysis System (POTFAN) Boundary Condition Code (BCDN), Ver-sion 1. NASA TM X-73,187, 1976.

8. Gloss, B. B.: Effect of Canard Location and Size on. Canard Wing Inter-ference and Aerodynamic Center Shift Ralated to Maneuvering Aircraft atTransonic Speeds. NASA TN D-7505, 1974.

9. Schwartz, A. M.; and Black, C. A. Simple Graphics Package HOST Routines,Machine Portable Graphics. Vol. 1, Nielson Engineering and ResearchInc., Mt. View, California. NEAR TR-145 9 1977.

10, Moran, J.; Tinoco, E. N.; and Johnson, F. T.: User's Manual Subsonic/Supersonic Advanced Panel Pilot Code. NASA CR-152047, 1978.

23

ORIGINAL. x^#2 .rt ^^;

OF POOR QUALITY

TABLE 1.- POTFAN GEOMETRY INPUT (DELTA WING, RAY PANELS)

POIFAN CCDNLTRV PROGRAM. VfPSIIIN 1,1sat^s^r^^trr^st.•^^tt.^^^slalsss^*6^s^s$

TI 4F s 04!20170 12.226b?

FoLk MATCH

000600000•A*0Ai•*A*A*6*0*A*0*0 ♦ A*A•A•0*006000006.0+/iA08*4i*i66006AA64A6AA006 ► .000• I N P 11 I 6*06**0A*f** 000.66*00 000A**06* AAA40*000 6600+6606 060006#40 600.•0804 ie.0 ► iiiia*TITLE*CANARD MAKE W01A III PRUGKAN► CAN11 A

*SRII A

0 SINCNVI ICi11 6 CD►Tf0 St 141 ►0USEGNENTSA %DATA 4bP 5 8 l6,NA IVwA WO 0

*VLNC A0 iDATA StNn•3LNC

* SnAIA InIT8.9 $Fun*GRID +

*SL 0

6 $DATA IIIPTSV/n SEND 6*VU 00 %DATA SCNn •*nit •

l" TA IUPTSVNI,NTANSVBI i VAR23VS3,140T4 filvu 6*VtA $DATA VA42sVwo"J. q i F '.II' •*PANE

0 $RATA NSI n T,RN2rT it Nn +*nSFLAG0 1 .1A 1 •^+ 2 INTFRInN SINGUI ANY 1YA I .1A I 00 4 LEADING FU1a SINGULANITV +r • 1 .1

s Y TRAILINR FOOL 511ICTIILARIYY

• 1 I 6

1 'r TIP S IN GAI L AN IIV 4

•0*FINISH 4* $oAVA FLT(l) v 1.7rls ► t.o,3,4814 ► I.O ► INt(IA)^I,FIT1ti)s1.A,Q.U,n•0 i ,rlt^ •

65TIINt A

+ DATA i 'x3070I SE ND A&PRINT •0 SDATA PRIN1sI0•F,IkI ►+TtS)•T SENn +*STnI +AA*A******* ***•***** ++^++ 5 4 . 6 U •4R4+**. A•6•••AiA ♦ *+ N 4•l* ► •f!4#4.i OAiAA6^0/.

Uk1T Y IS NAP. TNF INPIOT FILE

24

ORIGINAL pA(jE ISOF POOR QUALITY

TABLE 2 . — POTFAN GEOMETRY INPUT FOR CANARD (TRAPEZOIDAL PLANFORM, STAND&WPANELS)

•uW••Orrr••Se.rOrrNe•err•ru •^0r• u•r•r•e••Srrr•ew!•hrrF-Srrr•u errreeONe•rORSrr• iN ► yt •••ri ••66008 64.410689+ assets*** or.r*r*rs •i•••••a•. 000000I80 6fa460r00111 6N,*vO0O.+

1 011TLE •2 •IN n•144S CONMn I1 INGL1t1 r1M ►. •

OC^MV •4 0p1[GMI,Nti •S • 10AT1 4R►1e10,4R►YeS iINO •6 0 M 11 •1 11NC4101 IC e I,COOTNS $RNoi *soft 414 0 $1NCRY1 ISet,Cn► hl S[ND , •

10 WI,It • 11NCOV1 Ic 94,CO► T e4,VAR1e-g0 IE4O •it *S11) r)) • t11NCRVI ICes,Cn►ren 014rt14 .fossIS • tINCRVI IC • T,CD► te(,Y6O2O1 0rN0 r16 4 64 111n[/INF WING tai IN IN[ Leo e1, Nf) •

• SI NCNYI IC • 11,Co► Ies si p'" r11 • 0L (DEFINE 1141 ROn TI •19 0 10416 lu►TSVer,Vb1121Ye1 ♦ Rl SEND •11 •su (GEFIN[ TNl I, 0C 04 nr TM[ ii ► ) rIt • 10416 V MpiVe11.2S 11 ND r22 •VL (QErINf ' MT, EDGE) •25 • P A T O IO► ► iYel,N1 6ROVe2,Y eN iiVerl, f+1,U•2S, •tR 0 VAM 21VR 40,4 r ,rT,_06 I[Nn •2S 90 10LFIQF toot TRAILING EnG11 4126 • $DAT11 Y6R 2We^1,1S•SR.6S ft.ND21 •VLFC10[PINT 10.1 S ► r1NNI1F ► 1Nrt nl11011t1T10M) 42A + 114111 Iu le Tve 1f Nn r29 *SLOG 1 G[r1 NE TMf CMOOQWISE P INK DISTRIili11DN)

• SDAV: 1Q► Te1 1fND •30 •11 6 40MO ► 1NE1 111 TNT CSNeRD •12 •NANL r/) • 11i>•t^

401WT $140sr 011n66-•MOVI' cola p" TO LfF T er I,D/ UN T11 rs $DATA 941 2 4.0 0 15ml 7 9 0. 0 - 5 rA,0,0 $two •16 •bSrL (nFrINL IMF Dm IRLF 1 SI NCIILAeITr FLAGS) •17 • 1 •Iso 1 •13e • 2 INTEOInR SINGULA R OV •40 • i •1Y1 • 1 .Y1 t lE^D1Nr: EDGE 91NGU1°^t1TV •rs • 1 • 1 r

4t! • • 1 •1 •45 • e TRAILINr. tOGE SiNG1n.•NRr46 • •1 -141 • 1 •Y11 1I rIv ^INrnu411r •

44611511 .UV. (°) ► f 1 N f 1Wf n14Ir11 11 N4 11 11 S yr :1 M FD 440f5151 • T -1

•1 •4b • .^1")bj n,t) .S42ut •5Y ► 1 1

u; 45 • 1 •I ♦sr •n ,iA .F (NISr, ♦Sn • rn•I. I N Tf101 . 1, f L t 0S16.I. 1S, Y ,a1..11,2S.Y /FIT11Q1e5N,ln 1E ND ♦y11 •S104tht • StN1 yIf?Fr1111 1t N t 1 •h1 .Y41 "1T6$ TWA oct,f% .p4 .STUD ♦

.. 0600 ....... ......... .00.0e0.0 06,60♦•.• .0•.06x0, oe ♦ Osseo• ..**Osseo ♦00 0 0.00 uI NI1 1 1S -m, t w F INeut f IL1

25

ORIGINAL PAGE 13

OF POOR QUALITY

TABLE 3. — POTFAN GEOMETRY INPUT FOR WING (TRAPEZOIDAL PLANFORM, STANDARDPANELS)

• l. ► . i l AU• Ai6.1••6 ► !•A6A i-i!N!!!!•.A6 +.6 N 6 ► .liAl ll U••++l ►► A ► 11. ► .►► i!•U6l^iA6+lA•• 1 N P I) / •!+l+ i•AA! ► •

10+460!0 0000 4 06 4 00 6 66606*00 ! ►166060+ A... ► .r A• +•+t+.+.. $$*,&G•+AA

• T1ILL i!/N 0. 11505 MINDI ANDLCn IIAIIT((WINO CEOIICIRV FILL), ►6CANV ►goll

1, 040111

. InAIA NMN^a)7•NN ► VA ♦ IENn+6411 .• IINCRVI ICri,r0PTr0 TEND ►i3Ri1 ►

11NCRVI IC • t,CnP14? $CNn 6!3111+ 4INGUYI Ir r4 ,CnPff4sVAR?0•40 ILNO+3411 •• IINCRV) IC85,C00160 $(NO► 5411 !A IINCRVI Ir r T,CDP h4,VARL r I IrNn•5411(nEr1Nf NINE A3 114 114 z.A PLANE)

f1NCRV1 lr411,CnP LO S(Nn+ IIL off1NE TN! Rnnf1+ 10616 I ll ► I3Vr4.VAR,73VrS.4) If' NO A•AU (DEr1nr, INr LOCATION Of fNf nlllOnANu CANARD VO410)+ {DATA VAR?OVrjS,40 SEND ►+VL (nEFINr IN( LrAOINO LOGE) ►. IDA ► A 1

n P T OVrl,NI AN OVr21VAN))yVrS,lll,ll,40, ►t Y AR e3 vi47.bS.A5. 64 *(No•VU (D(FINE THE fN A llINO E014) ►. In A IA VAN,+6Ver1.45.91.A1 ILNn ►.vLRC (OLrIML IMF SPANNI IE P ANEL rr11fRIMUTION)• Sn61A InPfrV II NO► 6LRC (OLrINI fNf C IIn4nM13E PANEL nI0 ►NIMHIInN)► $DATA I1I0 Tl2 SIND.AVLC (AnJU61 TH► PANELS $0 THAT THEV M ATCH CANANUI• InAIA hAOJr,Z14A54Y19,NA0liD Sr NO 6iAV1 1 C (60,1141 1111' P ANILO 00 THAT THEY 14AICH CANARD) !+ 10414 Iryn• IiMln (PRINT el U l PANELS)► NIIM,PINfL 1 1 10 TMf CANARD ,.► VANE .

In11A NSirl fl`NQ•1000..NUVE CA46N n TO LLrI IIr 1.61 'INIIO6 I nAIA 01f;;0.0. 4 1N1 f t n O.a1 • ).PI,Jr d. SEND+n6fL (Of N ► NC p nURLrI 61NII1LAAIIV rLAd$)+ 1 • 1 ►• 1 •I• A INT[41(10 SINCULARIiV

!

Olt ! •I• • 9 l.Finl4q EnuL 51140111 ARITI• 1 •1

it

44 i • 1• 1 .So . b I4AILI46 LIME S19HIILAMIfVSi •1 • 1 ►

SA + 11 IIP 31NG11LAMIT V$a •nw4 .I V• foEr1NE 1Nr n1 1Er71nN5 ortHr S 11EU ► +hfs)501 • I •I57 • 1 *I5m r d,d ,14M50 • 1 I +ba ^ •I •Ihl .479010 d.A .14?U2 +h2 • d •b) •014144 •h4 A 1 4 1(1A) r lrL T r51b.I-reS..17I,II,Vi J,.rI.I(Inl NS O14 IL.NV65 -6 T00, ibb • Sf,AfA 19 1 1170,1 fr4V011 11001+11bh . IOAfA If „nA>Z • s ltl p ,

•....... .... • I. b. iii.••• .. ......... ......... ...•..•..• ........• .........UNIT J Ti wnh 1NF INPlI1 rlLl

26

0. 0. 321.27hru

ORIGINAL IMAGE MOF POOR QUALITY

TABLE 4.- PARTIAL LISTING OF CANARD POTGEM PILE FOR INPUT OF TABLE 2

:TIILE

IN D-7SOS CANARD 11 A patto WAFE

!GARYF D IFGwENTstiRllFIRTItrail•1R 11,SalljsRII(nE ► fNE 4140 Al IN THE r g o FLANf)

75l (DEFI NE IMF 1411oll

F!U (OFFINt THE LnCATIM Or THE TIP)

F ?twL (OErINE THE I FAnI NG (flan

F Yu (DEFINE INE I NAIL1 04G ME)TYLMC (n(FINt 14F 4104NMISF. PANEL DISTR(•OIION)0LOC (DEFINE fHF CNnRnwtlf PA NEL DIS ►Rjp11TION)

NDw•PANEL OF IN? CANARDjFANItRDls 0000ftoYE CANARn TO LEFT AY 1,01 1 041 T1tDSFL mrlNt TNF On11Rl ► 1 sTNGIILARitY Fi ArtsI•u^M (pIFINE THE DIaFCTTONS ur THk $WED NAAFI)^rINIsN•srnRF

nNII 1 OPM G FnN WRITING FILE OF TYPE 1 ANO Inv 1701

^RCAIIOM TIME • oA/21/7A 11.21.0 ►T AOt 1 NO HEEN FNUFILEn• 3TORtu AS FILE PFI701GMIrAND REWOUND.

FaEATION (IF rof""EIRY FILE.........................

TITLE • IN n . lSOa f`►NARD 11 ANGLFO w4oi

(LOG) • f F I F I r F F F F F F F F F F I F I F

( INT) • 0 11 h 10 1 0 0 O 0 1 0 0 0

I FL1) • Stio. M00 21.400000 ;1.310000 25.400000 1.0000000.32127A70E.Ot SR .IN0000 ^.

•PRINTp.

PNINInilf Or GL(IHFIRY File DATA

.•TIILf I fN n. 110'SC1Nhan tl ANGLED WAME

^4EAT ► UN TINE • .`;•/21170 13.21,07IIF00") • 111u111tili

(to) 1 0701FLOG) • F F I F I r F F r F F F F F F F I F I F

JIN II 0 l) a 10 5 n 0 n 0 1 0 0 u516, 25'16000nn 4000u(In 25.3ln0000 25.4000000 I.non00n11

{21,?Teh Wa p,03olile 5a.14nun0n 4.00u00"o 0.01.100000

P^NkI CnONEN F11aTs 1

Ift.J) Mod) 5(1rJ) V(I.J)I I 30.921aenn 4.00000no n.rynOnnoo 1.A1o0uo0 30.92osdon

2 ) 52,512a97h 1,1112104 000nuouo 5.1212195 12,51?54re

1 ( {0,1441911 r,,.?d•ti•u n,nUndnnn 4,014140 1u.I114.9tiI

4 1 3` .0 9 e7 b /I 4,v^ lehNti O,DUnnOun 7,143e405 35,44419275 1 S1,thA.442 5,244N1AV 1,11000000 4,Osu"lA0 31.2"4019110

1 I 3a,4M0n•14 a 1 0"I A474 00040000 10.5hen47• Sol. A6(10074

7 1 40.4r50454 7.M I)I71 0.00'10000 11,0711h u0,4110Ab4

1 .42,ah"JA19 0,1145344 0,00noou0 I2.41ft453sn 42.0h414290 1 uI. h it 7? A na I0,444Ishl 0.nnnu000 I4.rV9F561 4' $.65

10 1 u1;,2a911141" 11 An09140 0.0000non 15.6104750 41,24437h0

+ 11 1 10. All 10 411LS,I121451 4,01100000 14.922I9s1 41."4+4/Se

1 Si.tutSOnn D;6owOro 0.0000nnn 3.410"0"0 34.-Ide50un

2 T 35,7n1n{4h 15 1lel a.•n.00000Un So It121R5 is. 761u3hb

3 ? 1/,01457)2 ?,1220390 4.0010000 •.u320140v ST. 1174•,7$a

u ? SA,3na,44A 1,q))aSHS n,lnlnnnn T,IashSA5 $A,SvM1o9A

S 2 6), It01un1 5,.?aWA?All n.00onnuo 9lisialn4 191rIh4443

+ •, .15.++rt . 491-041n n nnnnnUn 10.304n47b 41.0)1(a29

0.nn110000 I.nnn00u0

27

is

i

j- FRI

ORIGINALoft OUALNV

TABLE 5.- POTWAK INPUT DECK FOR DELTA WING1

$DATA

NSEIGS - 150,

ALPHA - .2G+02,

MACH - 0.0,

UINF - .1E+01,

ID - 30701,

PLOT - T,

STORE - T,

IDWAXE - 30701,DELTAT - .lE+00,

Rl - .1,3429E+00,

R2 - .69487E-01,THETA .95833E+00,GAMO - .22767E+00,STASHN - 1,

FACTR - .5E+00, .lE+01, ,lE+01, ,lE+01,

XVAL - .1.E+O1,DELTAX - .3E-01,

EPS - .1E-01,

IFLAG - 0,

ILINE - 2,

IYLO - 125,

IYFII - 925,

IZL0 - 125,

IZHI - 925,

IARGMIN - 125,XARGWAX - 925,

IRKN - 10,

VLB - .1.E-02, .1E-02, 0.0, -.5E+03, -1, -1, -1, -1, -1,,VUB - .5E+03, ,5E+03, .15707963268E+01, .5E+03,

-1, -1, -.1, -I, -1

28

ORIGINAL PAGE 19

OF POOR, QUALITY

TABLE 5.- CONCLUDED.

,

IPRINT = 1,

NCON = 1,

NSIDE = 1,

INFO = 1,

ITMAX = 500,

ICNDIR = 0,

NSCAL = 0,

SCAL = -1, -1, -1, -1, -1, -1, -1, -1, -1,

ITRM = 2,

CTL - -.1E-01,

CTLMIN = .1E-02,

PHE = 0.0,

DELFUN - .1E-08,

DABFUN - .lE-080

FDCH - .1E-09,

FDCHM - .lE-14,

THE - 0.0,

NFDG = 0,

LINOBJ = 0,

CT = -.5E-01,

CTMIN = 0.0,

$END

29

ORIGINAL PAGE 19OF POOR QUALITY

TABLE 6.- WAKE GEOMETRY OUTPUT FILES

1ST RECORD

NTITL=40

(TITL(NTITL))--ALPHANUMERIC TITLING INFORMATION FROM THE GEOMETRY

FILE CORRESPONDING TO THE COMPONENT TO WHICH THE WAKE IS

ATTACHED,

NRECS =5

(IFORM(NRECS))-- 1,1,0,0,1

NID=2

ID(1)---- ID NUMBER OF SURFACE TO WHICH THE VORTEX IS ATTACHED.

ID (2)--ID NUMBER OF WAKE FILE

NLOG =1

LOG(1)- -NOT USED.

NINT=4

INT(1)--NSEGS, THE NUMBER OF CORNER POINTS AND SEGMENTS DESCRIBING

EACH SHED VORTEX LINE, THE FINAL SEGMENT IS AN INFINITE

LENGTH SEGMENT DEFINED PARTLY BY DIRECTION VECTORS. THUS

THE NUMBER OF CORNER POINTS IS REALLY NSEGS AND NOT NSEGS-1.

INT(2)--NLINES, THE NUMBER OF SHED VORTEX LINES.

INT(3)-- N1, THE NUMBER OF N1 DIRECTION CORNER POINTS ON THE

COMPONENT FROM WHICH THE WAKE IS SHED,

INT(4)--N2, THE NUMBER OF N2 DIRECTION CORNER POINTS ON THE

COMPONENT FROM WHICH THE WAKE IS SHED.

NFLT= J

FLT(I)- -NOT USED, BUT RESERVED FOR MACH NUMBER,

FLT(2)- -ANGLE OF ATTACK CORRESPONDING TO THE WAKE GEOMETRY..

FLT(3)- -UINF, THE FREE STREAM VELOCITY. USUALLY JUST 1.0.

30

M

'E

ORIGINAL PAGE ISOF POOR QUALITY

TABLE 6.- CONTINUED.1

RECORD 2

J1=NSEGS

J2=NLINES

J3=3

NW=NSEGS*NLINES*3

(XWAKE(NSEGS,NLINES)), CYWAKE(NSEGS,NLINES)), (ZWAKE(NSEGS,NLINES))--

X, Y, AND Z POINTS DEFINING, IN PART, THE GEOMETRY OF THE SHED

WAKE. THE WAKE IS COMPOSED OF NLINES LINES AND EACH LINE IS

REPRESENTED BY NSEGS-1 FINITE SEGMENTS AND ONE SEMIINFINITE

SEGMENT.

RECORD _3

J1=NLINES

J2=1

J3=1

NW=NLINES

(IIINDX(NLINES))--ARRAY GIVING THE 11 INDEX OF THE CORNER POINT

ON THE GENERATING SURFACE FROM WHICH THE WAKE IS SHED.

RECORD 4

J1=NLINES

J2=1

J3=1

NW=NLINES

(I2INDX(NLINES))--ARRAY GIVING THE 12 INDEX OF THE CORNER POINT

ON THE GENERATING SURFACE FROM WHICH THE WAKE IS SHED. FOR

EXAMPLE, THE 4TH VORTEX LINE ORIGINATES AT THE I'1=IIINDX(4)

AND I2=I2INDX(4) CORNER POINT CORRESPONDING TO THE GEOMETRY

FILE WHOSE IDENTIFICATION NUMBER IS ID(1).

31

i

C3RtGIN ^1. 'PAGELITor p00R

TABLE 6. CONCLUDED.

RECORD 5

JI=NLINES

J2=3

J3=1

NW=3*NLINES

(UVWX(NLINES)), (UVWY(NLINES)), (UVWZ(NLINES))-=ARRAYS THAT DEFINE

THE DIRECTION OF THE FINAL SEGMENT IN EACH VORTEX LINE. NOTE

THAT THE FINAL SEGMENT IN EACH LINE IS INFINITE IN LENGTH.1

ALSO, BY DEFINITION, UVWX(I)**2+UVWY(I)**2+UVWZ([)**2=1

WHERE 1 .LE. I ,LE. NLINES.

32

..a oRIGINAL PAGE

OF POOR QUALITY

k

r.

E

^

k

^ `..e. .. ^....,,.•.^r ^ .s... r w .. .+ .. 6666 ^ s .w . .

i

TASL 7. — WIM INPUT DECK FOR DELTA WING

k

{ '° y DYNAMIC "410"V• tN00 MM000N TIME~F^Oi/20/Ttl 13;0+{.39

—e 11111.NN11f•f^U•R•^^•••i•^^•N••i••••Hf•^f•.^fi.•^.fi••f11HNft•Ri•1fi.ii..^.•4 T M` P it 1/01Naf ••• /N•.^/•• N0^1/16• .06111./ iNf•••.• 0.6N6•^/ 011H/Nf •1066. 0 011

•E ^i$*AT: • 1o•T. /Ewo

_6666• slp^T^ ID11E w0.10701 liwo

t ^iMFi^CKC11l^if • 6040" 1wFLUENCE R VELOCITY 61 R.C. 001"16 •• OAT& 10.3?01 w11NNAInt SLMO

T ►Yi^i.CN.iUi^H^VEI GC&tV 61 A861 f84CE K4fNB LnCMT10h0 io $o•t& 1o.1:o1 SEND

`', ^..a_^laa••a y--.+--++^F«iee- +e,+°I,w ^,e•Ftal►>r ... ,,,f0 • 10416 1063201 IEND it1 fiJOI

1//•11JU1• 0U 61NH 1&•••9001 0*foa116/ .40661661 6060.0606444 t • it► • IIOq I wnW 0 1 L!

ORIGINAL PAG5 18OF POOR QUALITY

-

1.

x i

TABLE S.- VVIM INPUT DECK TO CANARD—WINS CASE

.atr 44 v111Fr k4 I Nfl 'if 4Cf N•T11v ► .t1011Ar. vC0p104 1..

nv41 Mlc rIMUNV• znnse woo"ll

viol I O 4 1J171Q 1).T•+7q

Y.•i.YY.•Y..Y.Y...Y.1.^.Yf..Y/•......./YY.....^.YY....... Y:Y..././....Y....../.....• 1 4 p 11 T.......... ......... •.Y.YN.. iY^U.... ...U1J.f fY.p•a.. ..fN U.. Y.Y ►...'.i.

•Il4 11. $Olt& 4Qww a .l sp.4n •

► !cl 00 I M .ler FACT605 ••lw4Ck •

' • 11141• {[ N D •

I Y COMPOW INr411(NGk Of IMG CANkfO ON 1T111W •

! *144140 •L . IPUA loWn .4701 6rNl1 •

1 .CnM^ •

• I N ► I •I . s11 & meamot srNn •

t •NISI1 . .01141 ti 1 1M11 01 tr.Nn1 •vlsz `°1 • k111it& 111.mon1 %F wn •t! • G11401LITr 114WIPICk nr lh ► C OW 04 1Nk • 1 N G •1 • tM.... n MM.....u.nuu/.....^.n.ra•u...o •S • ^D .pAF1tl

kOAtA Ill p lf8111767 {94n •A .Clihp

. QNt! Winl .1^r1

l • 10114 11 , 94007 Ir411t .vl^t fl • .n.ti Ifl n .11d7 1f'In4 *v157y • .0414 1111116 ,40? }[ 4 11 •

1 . C11-putt 1 11VI11iVrl nr thr WING 0+1 ITlklrK • iY.na.Yl.ifln.lfn•...•....^u.h.... nV

+ •

Il .N4k Allt + •0114 1nSi Nnu110) so ?m •^ a qNw

040.1411 f

s . T¢114 II1811401 Tr.4n. .vlSf7 ► {11.14. IIIOM010 {r Nnh •VI57

Ii

1

1tz22222722

l1

s

1SS1sY.141nn

u4

va . 4p .14 1r..hu1 rrNn .Sn .

it • clp-iltr I sirturnrl or Ihr wING CIN Yhr r At, 1 •( f^^ . n Y...ifti/i1.11.T11...t.f 1\4441.4 n . .....Y.1 +

44 •wok 4114S • 4 1411 Id 41r •w lrrl 1k V11sN +1'4Fp

5Y 0614 Win^M •1411

+14 4 10414 14.4Nnu sr4nnn +v1I

ht + 41 , 111 I0100u rkgne7 •v1524.5 • W A I A .A.,11 .r11nbr •N110

+++1.1..1.+• 1+ . .+....• ♦...+...• •,1 41 1 1 1;i yq^.

+..so.* .. .+..•. •.. •++.... •• •. Y..Y'+...trr lvhnt 114 ►

34

s

Rr _ORIGINAL PAM 1of POOR QUALITY

TABLE 9.- INFMAN INPUT DECK FOR DELTA WING

O^NAMIC M[M00^ . ASOA• M0^0• ...

[I M[ . 01/tDi1• 1]•OA.IA^

•U..N^.^^N^.i^N^.••••••••^ill^••i^iN•ii•ii^^U •ii •^iiiii^N••7••^iiiiiia•L..•

••.•A•^i••• •••••••••. i•i^••ii• ♦ iii••iii iii^Yi ••i iii ii •ii• ^•iii•i.• Iii^i•••ii4 "SAW •'i • $DATA NI n+1al,toaEPM•l^iol.

• • totwellot,IDOUt.I2o:0

A •MODI • 40AU lwD •A •VIAOD

.. • • u^ra KYO. ^ID •V2400

It Woo:.yl:°S9••^••^ O•NNNi •M^i•^N •NH••H •^•^N^^• N••^••••. •H^I^N^• •H ►••^•NUN 11 • it No ?or tN►U1 FIJI,

i

35

0%040 (upof 'Ppu^ Q

TABLE 10.— INMAN INPUT DECK FOR CANARD—WING CASE

001, Ah M41111% 46410 1 11kA ► 1n4 MdlufiMlM. vtkll p4 0.0

:::::cc ok MuMV n weto womnA1

rl 4l: A Odf11/)h 11.2T.21

•}66.666. ► 6tl 6i.}• 6.6.6 66..•x•}t66t6^}}} ♦6!}.}6666}}.666•!66}} ^.}.l66}}},}}6}6.}}6}•• r4ru1666666166 4 6 666666666 6666}•••, 66666 .6} }!}66}666 6J6r6}^^• .6.N,666 a}6tA H}}}

1 4

6

2 • caM^ulr SC41 . i4pk^1Mnk4r MA KE FOR C444Np

S •v44pd• • ^UAI1 [ pp Et^MmAlnlrhl4^rinw,yM•p; 016.1114.M1l Oi^A09ZlIPUUI,vv@I.^^^2.NCG4r,2.1 • [4911k1 6 1,^4>r 1MC+1.Oh11 X4.4 ,,.,oso IE4p •ti •V11np

• 51, 411 Ir on 610 • V16 pn •It 00A Wh12 6 V24 p 4! }

1! • ,p 111 1C 4 r 6

ty • GrI0111r $f oil•l4ntPr4lrl4t M 6 41 Irnw .144 6

tr ,IM •v44nui^! • 11,411 CnM, l;hrdlO . InrN n hlloM^ .00ltlnpul6i +InM64dp^^ •24 • tn4pVr6 1^ P ► 'r 6MCA2, 1 ia1 r 0 ,0 ,j, p lo Ir4p 621 •VEAUp i22 6 11 . 616 flhn i21 +v1Ann t24 . , p 116 lkhn2S .v21up }26 14614 1k4n^1 • :Sr1,^ }

66......6.6. 6.! !666.6 .66.66! .6 6..l6.^66 ..66.6666 •}},l^..6 !.666666. 66..66..!6uhl1 a la NO% T"r 14rur 1 M

e

1

Y

s

36

0R,Qlt,A1. P AO"^ Y

or POOR

TABLE ll.— BCDN INPUT DECK FOR WING-ALONE CASE

. •error OUMAIV 1*0001fim 8046"n. 064610M i.]••^uu^•^nuu^^n^p^^^n••nuu^^^nns^n

_..WA MIC wjMQ4Y ! 14#00 r0402

M TINE • 0r/J4/1[ 17.09.14

re= iY^W••••••.M^^^MN^.^.^^.•^M.^N....N..r^...•...^... r.1. r..^rH..rrrr.rT.^r^• I N M II T .J•^•^MaaL. ^^^^^. N^M..p ..^e'....r r. N.^^.^ ..1.r..r. •..^^...• Nr.^.^...

1 ritl[^0

39 .4 #iN[^O JM #[MltS rct111Y• ..rraiy

—s—="O —r.r ....... ........ ......... ......... ..r...... ......... ......... ..........urlt 0 tS.wOr (M[ Ir•tiY Filt

.

37

ORIGOAL PAGE isOF PaoR QUALITY

TABLE 12.— BCDN INPUT DECK FOR CANARD—WING CASE (CANARD)

0411r{tt 8011NU{wT cnNUTTtnN MMnGw{ N . VI N IiuN 1.)^rnrr{rurrrrrrrrnr^rruurrrr^{rrrrur{rrur4 ► N1NIC NENUMr . (OnOn wd^nN

11"1 n 0AM110 11,35040

+ ► N r tl T

1 .r.^t{u cwt,n iN rr^NrrwV ur Tnr c^.l{11 ►

4Nr111Of w)

w • 1MC ufAn i1 ►N{ri q .NH.T{r2 i/Nn5 • C rCV .b +bNCV .1 • 4001N •etwtlnV . 104Cwr.l1 .1 Pr.r70 1[NnIn .CRCV .11 +bNCV/? •bT11P .

•...^.^, 15 ........• •...., u• ..^ ► . ► ... .•....... ......... ......... ..... ^^^•ua3t w f3 .,n,, T ►+r l yrnT rtlt

38

ORIGINAL PAGE ^ wOF POOR QUA^ITY

TABLE 13.— BCDN INPUT DECK FOR CANARD —WING CASE (WING)

001FAN liou 4006-r} CnNPIT1nN 00no prm, Yr osWN harprr^pgpupppsnpprnppupnpppr7pppppAppunpp

nfm&41C 001104f i IOAQA mnyr,

T( N! r 44/31 /1 01 11r Sol. AA

• • rr•. tt^^t• rr•.....r.•r.•• ••rt•trrrp•rr•rrrr•trNrrirrrrrrr• ur•ppt^H•rrrNrrrra• T N V 1^ } •

•••u r•••.^ •••r•..^• • ►r.••*.• •^T^r••+• •rr•r•.•r ••rrrrr•• a r•sr•.. .•0#0000r0.I +r;AliU t at^n IN r,^n!+ft^M llf ► wr +1wG1 •2 • ^f02 •

S ^BC4rf11^ • 1lIC yC^U A I pN^rIArNaLTSr1 F^Nn •R .CNCV •^ •¢NCY .

p .gCpCiq .a • {p^ p [ip ilrris7A ttNp

10 cAcvll .StlC4 •I? •$Top

.. U N.•.••. .^•^.•^^• •J •.••.•• 09.000060 00...400• 0806009•. ••••1•••• •01....46•.4 I to N^• sNf INrirr Ftl1

r

39

ppot Is

05 po

TABLE 14. PSOLVE INERT DECK FOR WING-ALONE CASE

404.4,4— .,^ s a ^, ^R .

1LU WOOPOSIVION MKTHQn 00146 PAN111104144 AHQ N.HUnH too)

^ WAN" M[MONY AMAIIANI,c r m2n00 wnNUs

IINL Q/ NUM (^••$40j"1& 11.11,11

A/,AAA (A„AfN^^f^^N•Nf^N•11f•fNNff^•• ♦ffflf• ♦ N^ffffffff^NNfalffifl^•^^NH•+ l yrirf

60****"* 40 f,ff.*vwo 4*9666006 n off*goes f1.Iw*f1, •ff\fwwV_yI ^

i^QA Ft^ IQIN.1Tq?^

• IQ^• lf Ali f

4 4400•40f400*046 666f6f 66 6• •66666. lfffff fi 6f ^fF^i ► ff6 •6666*666 66if •f ^^^ ii6.66f if•uK11 4nW,"*,'"40-liiW!# F-ilN

i

t

40

ORIGINAL FADE L3

OF POOR QUALITY,t

TABLE 15.- PSOLVE INPUT DECK FOR CANARD-WING CASE

r l It nor 0110+ is..nel,^It t R ff,^(^,i!

• INrur•a•.••a••.• •••^.•••• ► •.•.^..• ••^•..^.• •a....ee. •e•..•... •e6.900a •66•6:6604

i • tu^t6 ti t^Mr• 2^i h i ti• ^^ n f, uVU7,intNtl,a1•^'►n^, y^^1r • h• ihNC^N!1^1f^A11n2,InlMftlll,NMUr,6.6.6...6.• .6•.•.666 •6.•.• .• •a • u 6•. ..•• ••.66• •a-•66.66• •..66 •.^. ..• N^^•6• 4iR^ll Y )^ NhM tNf INrllt 1'i4t

41

wwwnw*+.,w Yw 4 Y.o lY.i lYw..s - . ... WITTY +r - .

Y.ns....Y^w.YTYY.l. aYYYrw1f^.M •r IYWi--Yw Y M.

ORIGINAL PAM 63or POOR QUALITY

TABLE 16.- POTFOR INPUT DECK FOR WING—ALONE CASE

_.eo111^r..F.a1et..>ewuu►. w^awr.a.^- ^..................................

OY4I41C (1[400r . 2ll$0 MO90$

^fN[ . Or/IOJ1• 1),11.1•

^..- '•' 1 N ^ 11 1 •

. N...... .•....•.. •..N.... •• .............r.. .r^....... •.vr..... rU N.. H•. i

1,. 10U00 1Mill" sed"s<Y • I ^

2 • 80414 Inn.10T51 H"o

A60414 IOM1201 $two

^. k c1LCYi^tf ^MfN • 00/141119 •• NUTTY JOUNOM{.II METHOD

1 . 10114 10V[^121 ►t,fO1.1201^YNINIV.1^1 r,^N9

Id • ^pttf^ IINO r11 .816rr.woy12 • So1TA lorl.l $ho17 •n11o1 009996 OM ••NEL& •Ir ..1

1• • C1LCU1,/11 F1INC I S t MN[ SSUNIO O f KuITl ;OUN0M1011R .Milk.to • .0^1^ IOVI•#2ot,loV2sltoi,19 ID22A1r^Mkt411.1 •Gin •20 .rOESSUNES +

_ • 24 • 4&AJA At". •

241 .r•NLO•o^^ 1MO

•21 O KNO •t. •STO,

.....•..... ..•^.•••. •M....•.• .. u.r..• •r......• ...rr..r . ........ ..........

.,.UNIT M THE IM41111 FILE

. 3

42

ORIGINAL PACE 19OF (POOR QUALITY

TABLE 11.- POTFOR INPUT FOR CCANARD-WING CASE

,. • I N P 1) 1 •••••••••••} ••••••N • ••.•••••• .•^• u•.• ^•••••••• ••.•••••• n••w••• ••••.•••••

t • C KCUL.rt I n +nS E ►C, na IN[ C,N^Nn •1 • ttatt^tt/ttt///tttt/ttttt^ttt0ttt n •

4 ./E 040 •s • lost• IOG nA1AI 11N0 •N ••rrlru0[ •7 • ^ntlt^ 1^aP•eAns stNn •A •COMPUS •

9 NCOM11/t.04lPNUYO tE 11 D •to : 01FIt1 p r!Ru04nS •

11 • ot

12 9 10 V169901,99011 SENo •Is•P't SSUNfa •

I4 • 1004104 •41P ► /0 SfNn •IS •SP^NlO •ns •16 • 901104 If Nn •17 • a"", fn wCFS ON P AWLS •

op•

i s19 •, i •t0 • 0 •tl •N[IR (LALCtILAtF L00% A T 0410114 JnllPn"9XII LAW) •

JS . I nv t•99ul, r : c--;:,Invt•^91)1,900o srMn •29 •PNiSSUNES •7S • 04U04IA IENn •26 •sPO4NU104us •27 • 1tnAr04 04ENn •29 • •'I20 • CALCUL041f 1 n04nS Ere, IIN IMF 91 N G •!0 . ltttf ltttttt n /ttt///ttt//t/tt/tt • A`

51 •N[04A •32 /R•r• 10GmAT02 jfNM!s • Af11/uUE •34 • 1004104 Inae n t1AO4 IENu35 •cn^nna36 • 10k1s NCnmmo l %FNU17 •Nf Il U04nsto Iu•I^ jCn,u,2,so . InVE09902,99A3 041) •4o .POESSUwk541 • In04104 }E NN •41 . 5 VA NL I) •p s }u! • 041 04!04 04EN n •14 • nNi)P i n uCf4 nN PA% t j S •15 •n1+uPu^ •.141 .0 . M4y .ryE 1 ►

y

9 49 • 11w•I. IUVl age n,7 ,.0911 {, IItY^• o9f1), 40Q{ }h ^Id •sn • PP1 is-IkCbsi • }n•104 ff,Nn .

52 •SP ► NL1104nS53 154 •5tnP

•••••.....• .••.•...• ••.^.•••• •...•.... .•.•.•••. •••.^.•.• •••••.•.. •••.••••.•1 '411 'I 1.3 wwn0, rmr INPII/

43

ORIGINAL P Z' fqOF POOR QUALITY

TABLE 18.- POTFOR OUTPUT FOR DELTA WING

/IGE ►/f• HI^Mt A1IAcolo As TARE 1ENTER RO•NA. I0i4 Iei•1

-opP 0466410•

P I O N W1011- -0UNIT t REM0UN0 AND RETURNED

► hMgWN 14)1.1*ATTITUDESlIff mjj;"fjSo8li^R2 iUNIT T RENOUND AND RETURNED

♦ A so

MUiTA N[ TN00>.^ , .... .. _ . a _ .....

EI roof[•_ Al- Mont e to o Aum"tOU441Ys"I........................................

ENTER MUTTAf .».. .,.^.. .._. ..... ., ^. ^,.... .. ..._^...

[MIT Y[MTa ll & so 126 1 to" Au' Coils A4 : Apo ICREATION TINE a 04/20/16 11.10.31

UNIT 7 RENOUNO AND RETURNEDs--LLLi rh7i^iMi1^ AI iAir ihiArE . i-a-

CREATION TINE 4 wao0 l• 11.01.34. .,2AtteR.421R•1- .

UNIT 7 RENOUND AND RETURNEDs.1 1 '2 6.0 b - .-. _ . . _ .., _ _ . ..... , _ _... «.. ____ ... .

4LOCLt1 At Cuminu» r•LML (,OCJLIOW

U CONIDNENT

124 ( lA(^.ti.t31 ►•.eSN12291 .901eY02 .94SIOi0 ,4341141 .^INM70/.42S00 ,96 1814 .02414002 ,eel MM .VUOO9ft1.eS90019 .OA NIAIe ,ee4n2/1 ,YU2Mtivt

12 42 (A(..It.I3110••050.21 .0•AA100 ,912{110 ,9124Ke4 ^04yty2r.NSIIA♦ ,6411044 y20n409 .91191120 ,Y17h11w.•221490 .911YIRS .•110114 .9.0So39 .Yl11h29.6295603

.0011554 .4052405 .9150!111 I,tlUYS1N ,9h447rh1.006012 .9491112 .9011141 ,Y 110;4J ,9T/MINw.014205• .9407s11 .A37092y ,tt72(1h^ ,hS0a31,.. efY4191

l24 Y (A(Orl?,1371•.4204106 .. «.4i147P.,. ,0019114r 1.0141 ► .+iw/A+►4,0941311 ,911}!ono 904n455 ,9555710 ,v 11(.Ibt.65914111 .944597? ^6017404 .YN723M7 ,nnti',.1e.Alesel7

4

4

r

44

ORIGINAL IMAGE ISOF POOR QUALITY.

TABLE 18- CONTINUED.

.« 144 1Ad..36,31iNa'044i6$03m ,-3s1--! 1.00826• I.u111nS ,YfYSyr1

...^ ussrr.as6sta.^.

«

,•ss3ty.

^ .y

•.•33174:.,.« _. 11+i►lov,

,•rrls.tisoh++^Pt.+r,r,lsl

Its 6..,. -.4ya67e

sI.M52s4 (.010• ,r+hON!

.+8041st .04 .•51?14• .Vf?4605 .404044004460666-_. ._ • iiM-«--- ... po ll" 61 On ...

.+1s14417 ... {,6+0" 1 F 3 hN,01HI+1 .gyi12+ 1.011$35 1.011.01 .•111V01111...,. 0!14666:. ., ».^tt641N .•154314 ,461164• .00671471.00N16s .•?1004• .004yf2

«._. .1.45481 ,uYy51•N

lie 0 Ir(^ ► f2,131)m^__ ... » ....

- - - Al"+40 646606♦ i 1410014 I.OI I0i! ;1y^11A.Y+11)43 ,•t202mi .444753• .YT•16•l

-_ - r"6"44- - a4ii613M .•NT01• .4.6!744 •. .nfi4Mr.06166:3

Y CON►011KNT_ ..^._. .r«.. _« _ » ►,.._. »^.

fir 1

48a. 1 . <-4A 4*v".11 11..2212x11 .21110002 47=0254 .57.8211 .nlIh+l/

341120 .6520112 .402124• .S•20SiV ,5111)eu.UMliy1=m 2 (4(8012,11)).

141640sJS .3$43014 .S346•SI .6^Iyny41 .^4,Il.rwl.Il yar0l .648!6.! .0046440 .AhYA01y .$04+420

- . -.. .06r^^. _ _._ ^y40T•i0 -37gps1 .146.606! ^.^6«.71633s1

lam 3 t01m.1ad 8.464+as$ .351x ?$ .sish•n• .•z1•)sa. ,.•41,1^^.631la y s .$2460/7 .re0^lr• ,r3VSIrr .•1l^Ylh

v.63$304S.6664444»., _.._

.6066102 .60o0A11 .le•Sr•• .t61^1a1

la m 4 (A(8f12.)31)•.. _ _ . ._._.. .

.aaisa0t .2••1••7 .4511115 .S? Sao 1V .yi•riow

.710.087 .6217637 .6f17TS6 .errSvrti .•5.41146

.1461.02 .•210060 ,60.0401 .•44.44• ,yt?^Yr•

.S2711164._.144_.._...1- 4r.4•.li,i31/r. ... ._ .

,161s020 ,2014037 .14135.0 .4410146 ,aiY^yn^.4446446 .4466664 .416t*44 .r11 Also A.190+410 .3.12646 .3054603 .^l•ti6r1 ,i7411u63a0a33b

12 8 6 (rt•012.11)10s 04x003 .sir0a4r .167 Hlnr .^7V ►Y;l.01+613.a2/s701

,24441st.alliall

,2S6Anr3,226221+

.1416300

.1171'6544 ,^ut1u».I+ImIS3

lam 7(A18.1r,f11) n.5960431E-01 .7SAS?Mdf-01 ,111171.4 , ► Su0n01 131ri^^.tsstlas . .. .1a+l•ai ,133!8401 . 1 1.0661? ,!)1+0++46.114117S..940111E-01

.1140770 . 1177446 , H e2 pl i m , I ^+h^ f 7

(2 n I(Ale.lZ.f3110

45

ORIGINAL PAM- t

OF POOR VAL"

TABLE 18.- CONTINUED.

-.... •1S11tt1L•/1 •2rfilif►^.N 1"Nsyst-ol rY•41W0l.01 .41old0oo-41.rNlrSrt.11 ^Y0SIr2Y[.01 ,YI)6201E•01 .14S1•l•k•01 ,+A0A WOE -ui

r3or3r11[•rl.

r 640NLN1

r11211SSt.10 .114fHt[-11 ,Irl/S16E-11 .11r11AM- 11 .loon+etii-11^u F I-.. . FMS ps i) f•d ip .1Sin4l2[•Ii , 112•l41k• i l t19404y0f.-10

rKr12r1ta2 ,SITrOIi[•12 ,10•r4S2F.12 .ITI•M11.13 .5•SlvArat.l!.1►tW3t.ii- . ^ R. .,

t2• t lF(+r12,1311a

.UrS21S I3 ,t11••)4[r12 .2Na/H[.Ii ,InHti0/t.IS .iq•r.flwF.la.., . .3^►3lssst.la , _.. :<,...tialn.rs41 - ,s+.11 ►►[ - lo -.1•ra,►^w•ii ,r+^•yllr-i+

•.1011121[•Ii..,,lip i . .l^a.ti.i;lir- •-,^

• a•N fort-tl I, 1•r1111Sr1t •.S•1••ot[•12 +.5047+t1t•iJ •.wlt25rv1E-11,..,.. ..j.}lffilJ^+4+t== _. .-s 12441 3iW^l-.^.. ,, ^.,^y'►'SiNf'•I r:

• 3ogN4[.12 •.231151;E•It •.tA4/trlt•li •,IN1S•ltt•Id •.'+len•InE.t2

Jim.-ar.3i0 ►SL•13- . ^^i00iif•'ia +,•OISOSYE•12 •.Ni6NS/4•I? •^iy44NI,F-1^• Jr00o1^!•12 •.)S1STS•1^4t •,34441e^[•1! •.)5.4023► ^Lt -.e11A.^•F-1^

- -dl^•)a)i 1i -^sir•Y^aiir.4t-•, ,...•^/1iA1FK.1i °'- •S ►WWArl+1?-_--^ia►►^^rbF+Id'.4S21T10E.13

•tOr3NSE•11 .+ISttll!•It ,1lfiolbE•i3 ,23YY•OlE-1"l -,.Ilti'.^ll•I1.rt1St1;[.i2 r4liNi.12 ,Irlli►IA[•IY , r0Ii1101i•/2 .r.l+wtil.cE-i+.•505401[ . 13 .t31Sl10[•IX .104^121t^13 .214.Otll-It .ISnlul?l-it

{2 • • U ta.lt.l)11•• .Il) 1 N•t.11 •.ifl•1•S[.i2 ..lA•0•)rF-It •.311210Y►eli ^r^ttl+w.r1!'•1!-.I rS O )•rE • I2 •,Y1Mlrl.SE•12 •.2S U•^10[-It •.+e7^S/S3-1S •.lhulboet•la'•.IrrlL90L.tY +i2rN114[.lt •,3SYNa2[•12 -.15.1.1;la t •.1rIrlIM ► •It.lotw11E.13

• .1141 !1•[. )) •.T•S•tiS[.ft .,•2•t.T41E.12 -r2•alOaPt'•12 -.y44155e1-It• . )2u0Yit•It •. q•5.0oS1•It •, r•tA331F. sli •.y151Y41t • 12 •.fdR+• +.eF+II-,rt7tlPO[-1t •,S1^Yw3r[.12 .,2•o•4.4f•It .,u7teSSu1.12 •.fNl'^Inf ► -1t•.31)11511.12

12 • r 1^(•.It,i311•... ^ ._.., , ,.-ursass•iI ..lsl+rrolf-i^ •.r•ISIRrt-1^ -.1...^iw•i^ •,•^^^Ir[-:r

•.J2SA•31[.It •.•OOIUl3[•It .,S7V•`131.It ..O ltt • It-12 -.43u11^ti1•tr,• .NON171.1i •,••ItYrM[•17 •,YSYYtT5 ► -I1 -,tiY40Y1S1-1? ^.ltM^wlV-11•, 3Nrr22t• 1 t

ENTER FOA3C,f$4 ^a i FILISUa 0 Fffvka o "lvl)• 0EXIT FONlCEXIT KUTTAC -

NOMMf r .513041IS NONNM a ,51)44315 116+44114 .S1144,415 .^r + F

C0"r1N1110N I

FA m .00000400FY n .00000000

t

n

ara

46

-

C)RIGINAL PAGE

OF 00011 QUALITY

-,

-^

TABLE 18 " - CONTINUED.

FUN

p lot '96 Reyes'

--^^^^^--W.W..

° PR4mmowu ,wp nwxw :^b^w^,,uw '_ _- -

u' ` ---~~~---^ - --' '

IL9446

96043 JSS66, '

204661 -

.1196119»'

91 Ki p -- '-- - '-

^__ - 3.16046 M86 .6a"43

| ^ u 111664 at"*

:54491 .12311| » -'

m ^ ^uv*wx ^'` 1.4t6ft .3200A ;P.3111431.634 10 .169)1-

. It 2 2.24661 .500S ::421 311

14 a'

Is a ^ /^' ,^.- ..' ~^ . - ^" '/ '.

a --- `-~, » ^^4v

`-- ' ^;^^^

.10017 ^,

o » *^~1 61^^

^~/ '^^^^ xe

',* ~ ' o » 1,6547^ Imso» /^°llabA ,34417 Al. 1441

47

ORIGINALPOOR QUALIVOF P

TABLE 18.- CONTINUED,

.-...16 ,. 8.47060-...-. -.lee6b.>. -a.816tHIt1.a----

3 2.88661 .41750i.;N^7 .+^>tsli

2,16112

I) 3 2.12453 .580411^^0401 -- ._.._»^1.92170

.., i. _a > ,.^ .7.•476.. .e6a6^- 0.7.963 ..Is 3 3.160+6 .64411 1.46

-;.1444} --- .... . ,04867-.. .. .-f 0000101 e.1 • .10694 .0110s .404911

• 54491 iO4S73 1.19064.....

s • .90085 .111341 1.64040

7-11 4 1.41616 .27159 1.60414

•0• I.eS164 .24971

Fee1.11192?

11 4 8.211061 0311179 1.4811411.__..as. _..r. ... ..7^e^6si---....,74743. . ^ _ 1-^3s•

13 • 2.724S3 .02614j U1140

1.22231

IS 4 3.84046 .49432t,}4S><9. ,_^.._._--.._ -.. .

-40644 . s . ..-1 68641 6Mit9e1 5 .10096 .01326 .2900b7 F _ 4.-.-3t6N-.. - .401a 78980l s .114491 .06629 ,1144+7

s S .90063 .11932 I.IS611•. • 1.11470 .14~43 1.199t41 s 1.41676 .17,135 .9849114 s 1.*9418 014046 t6t1412• S I.OS860 .aisle .+2967

^. S .69864 _ N_ v*%+Go- .. ..0*6v*. . . . _- _._ ... _ .It S 2.26661 .77841 .7729!I2 s 2.34637 .3•414t ,17111413 S 2.724s) .53144 .65112014 S 2.94744 .Ives .SMStIS s 3.16046 .34447 .422+6

I • .10896 .00947 .2513112 b .32694 .02641 .392623 6 .54491 .04135 .657404 6 ,76747 .06.29 .1717S 6 .40083 .011523 .84i11

......_6. ,. .E.1N#!. ... .16.147 6614t1 .....7 6 1.41616 .12311 .13111e 6 1.6347? .14745 .7r4ss+ 6 1.052611 .16094 .67407

IOIt

•6

7.074+4 .17991.24461 .1446:

*.sail

12 6 -IV"? .71740 .stet*IS a 2.72453 .21414 .45469IQ 6 2.94249 .as"$ .34414 1IS b 3.16046 .714.2 .2s19916 6 -3.3144? .7.316* .12622

I 1 , t 0194 .00S64 .19741?1

77

.32644 .91795 .Sf**v

v 7.54491 .O?441..7*?47 .81971

.stns

.64941i

5 7 .90081 .OS114 .124.0

48

ORIGINAL RAGE

OF POOR QUALITY

TABLE 18.- CONTINUED,

1 1 L r^^10 .0134• .•4002

• t 1.452►! .»._,._ __. _.. ._ .^-MOM- •r1t^M- ° • Sflt1.,

11 1 2.2!!01 .11+32 .41052

13 t [.[2455 .hies _.5.114

1 ! .lolS! .0011+ 2.•I,631_

•

7 ! .stl901 .o1►1tl7 t.os4s1l--Tali+----r01 Hop- --

.01145f i se v r e

R 1.737x+-}rlNf+-. _ -r+ItK! 1.1"001 e 1.41.10 0112462 I.s•9tS

.03220 I'43_11 a 2.24401 .03+11 1.22417

I3 4 2.7;,53 :oe:iss 1.04+3-. ..;}s..,. a ^,..^..'^OtO+- •., ;0'1119• ...r+l•9 his 6 3.1.046 .OS492 .)737tl

•!/INLOLl1{

• SPLN«li6 • LOA! 01{7RIWittN!

REIERENCE CMONO

11 ! FIl4r Fr!« F2Rw F110»f irNwt ► (w»1Gnre1u.TLC., 1

1 .10102 .3269

.67+{3[•02

.226176.01.12;054-41.472379 . 12

,14• y"-01 ..ISe61E-14. .121451.41 .IIIi.j,.I

.114111E-?4 .00+1111.12.621396-01.1.499

-.dpASOE-19.116a E-I4

.07211( • 12

.04+414-IJ.All ISyh-14

..1vl219h.1rY .)129• 4ie^

.94227E-01 •SSRSUE • 121+i00^--- 4^ ►ZlWf+l? .2544037 ti}45 ..1tl494C.14+MM Ii.•W-

•sti4SYF+12^xi.. 00011(•15

0 1./+•7 1.417

.111.0

.4.1134.100tl+E.I2.•+1441.12

. 47 16 49`5140 15

•.2RUOUE-14 .1n44vE-12-wi.1 r

.fn222E.1r4 1.0359

.22+03 .1,6111(.12 . 6 1541.191252-41,11^s80E.13

40 4 64" . 4a.7,6!!!!•14

•110144!•14.,1441!..!! y

to 2.071.23231.2S33e

.0022!(.12,hSant.1J

.« 3 111,6

.•9•l)••ISs12!•14 .892214 .10 .4a;•.I r17

_ 1L 2.21412 2.501

.l;OYJ- I.4L.12.114 .7101 .93632t-19.19bSIAE -14

d6a4bt.1d 1rd 148.11a0^4 8f _.,yaw,It-1413 2.725

.261.3

.20311.11444(.11.110921[•12

.11481

.72789,14SStlE•11.91dogf.14

-1 l.11a Y tlf • ll

It-.6940 1t•.711/i,.lr

19 2.+Y2IS 3.100

.24,624

.220«4,10194(.11.71273Eri2

.67300 .31951F.14 .jvj g AC .II-.111 4-e-1r•.11nG+•.-i•

16 3.370 .101330 ,19PSut.1p.60..17.50473

-.4.774E-14.,4174Af 141

,71!11[•42? r ► • It.1 4 4

.1158,6E-1r

.7 4 17rt•l^•PROP EURC93 O11 P44" S ryGROUPS 20 TNROUGN 29 0P0//EO zt LALCUL1f( FORCt! L /R1L{UREe Rf 4 1ITfA Jq,I%UrLrff.NEiK

k 3

1

rr

E

1

49

ORIGINAL PACE IROF POOR QUALITY

TABLE 18.- CONTINUED.

[MIT $IANOV

VELOCITY AT NI FORCE StNtINC LOCATION{

12a 1 (At n .17,1311a

W.i tliar5?67717•.e9Ster1 .90261122 ,9Sw56wY .9S406w7 ,9s6;060

.0$$621 .e9e6o17 .6soR9rs .$Rollie .0l321t

la g5 tA( n .12,13))$

f.00Sall .4224660 91S7r10 .9242651 ,9166220lsjswa. -.. _ -® 1J74a117A, :, .^.-z._.. Viµ•n7676.0531029

179 9 4A< ,1i1.1^-'.9116715 .9066321 .9ew774e 1.015162 .111961126

^ •_ - r- j t -•=-^4i 1 0R11 n eedirO41 n 9iy^42w.0500193 .90w16aS ,0$51342 .0754121 .tl611464

12 n S (6(.,72,75}}a. 0 266441 .4iw7106 t.oy36) .. ..t,#a"64-.--.,9665791 .9060725 .9168991 .96169s9 ,v47ROr)^AA 1 1.2, _.. sot+tea w^ss"-I.4420254

12 n 6 (A( n .12,1 11.9 4 1 6936 .v4S3S33 (.0111•, 1.OI M62 .99241969.962A6s9 09417s21 .vrsswA ,4aAO9 ► s 0IA"Sw ..9380650 .96011111 ,411166)1 .9421119 ,144411115.16601611

l2 n 1 (A(60I2,13)) n.9 496TS4 .96$6464 1.012R42 1.9120441 ,4Rr.,^j6.4A68615 ,49221198 .960152411 .90uti1A1 ,4694Stu.9606524 „ .9601SSS .4607150 ,9S$9u7o ,9631469.9796544

Its 0 tA(a.it.t51)a .,,.-., e ..,1542559 .971399u (.010611 t.O111e6 .94241411,9904218 .9921137 .9797006 ,9e 69690 .414w4%S,9699699 ,97252Sh .467h350 ,4666121 .4711041

50

,t1NNS 3S11N ♦r^1111- ,Si070•t,0lOSOIS ./yS•1.1 ,OIOySr!

tt n • (A1•rlt,l3t) n

,101000• . t!yr•^. _, :^^^ ^ 4.10Uy•11-4141"1 ,110"11

.•slsto:

.1Nie11 .2eN01t ,#••0(1rrillL!31 .Lt °lifts --. rN• •• .^.SOS11S1 ,SOSOrSr ^.rAyetp,421SOes

li e • (A0012,131) n1 1325041 _,3e21i3S ,5146140 131110049.3.00n *n ^i0y.... — ._ ..-1 1" 1.2S3O600

.0200127(•01 ,10.0113 .t00T252

.2156400 , ►0t30t0 . N0171S,IA^100• .1104O00 ,1.11.10

,3.1.21D[.01 ,Y•YYO••E•Ot ,i•Sy2S1E•01.0•l02^K.01 ,e2037S0[.01 ,0r!!rrlSfDl.1.50020[•01 ,1^r33WE•01 •1S0•SSSE•ol.633141e[•01

o. o1 n.e,

i I3^ 1128 1 (•(•.12.1311•

.•r•2001 .#o•0qu!

.19ff1134 .1Aitliull

—AppNolf -'940"p-.0%lutf .Is011•1104" to ° -VA0*#d14W -

,uSO1N•rw

e .4YlND1Y

,184116r. t1ap1 N I2.Sf•rrDr ,l3r^rfi

.1114155 .144A157Olsbafu .IAYSNIA,ls'IAisS .IUau1F1

,v•(i1^1tE•^1 ,^SA....^OF•ul,hlu•1Sef•^f1 .Ft•ASlb1-+11.1t r2SS'f4• +t l . nw^F^111.41

n. n,(1, t R

ORIGINAL PAGE 15OF POOR QUALITY

TABLE 18.— CONTINUED.

, 27t0f ,0040Sr1'10414!

a

,+lr•s11r.. n •a741"U• ,^i{^iM ._. :^N1^N , - .•iM#N . . ,Oht^12.HStiw•!V CONION[N/

......^.,., .isiuN-....... ,> ,SINlN-° .•fM•!rf ....:... ; nSr0^ty.700•NO ^,1̂115 0! ,12lIt1t ,ll.IlA• ./10^1rr

51

ORIGINAL 'PAGF-ISof POOR Q1JA►.►`rY

TABLE 18.- CONTINUED.

e

.01810419001 .OS/lrel[-01 .1a6}060F•nl .Irl1 ► 1Sr-YI ,Y/i•Sry ► .ol^: » „_,y^10l.ei,•. - - .1WSWN .o600 ►f%.#A .YIaM^►IHit' .Vr► /MINE•-t

.6/0S lOJld t •rr31/OSSt•01 .+tt6AS0o1•YI .•2l061S1-01 ,ArA13luC-ui

IJ r 1 f^1f-rlJ.l;1lP^„^__ ^,OMMiiLN^•-^- •^•IJ[.P?=_ .2itt31ti[rAl .1'►i0/f/E-01 ,IArIItA► .^l1.J►qNS/ •ei ,oAIS/Nt•Ot .rr/AeNhY1 .110SOPYf.*Y1 .)IuU2nt•ui

w,. ..,. ^rN1Ji0l..Pl . ^n-r1NOJMf.Sf .fM►ffelr.Pl ,rraOM•ti•A1 .lirfrSlr•el.40104St•e1

., ^^A`10l•el -,IONPS6c-01^ .,1#sA•Olt.nl •.tir011St-o1^••^ :,1A^S)•IC-11`^^Jt.li.-. -..^OiMJ.O{. •yNlIOINP•01 •.rlitPNt^i •^^ISM4fE•u1

• .Nl ef3[-01 •.r111fyt•01 •.546 6161 . 01 •00100111-01 -.!0$0400•01.. •.is131i/1idF..-

! 2• S frf•rl2,1}t)•

-.11115! dl - .P1100JS[•01 .,11^AOSIE•01 +.a0aArS4E+At .,•2!)lllf•nl._,.. - .-. .A+7WYlLll. = s .•.{JJy>tll•01 a • ,f0'liAiA[•f•1 •.•wMJK•Ai •.W14•?SF-01

•,11S91611•el

• .11131lSL.el -.30443!0[-01 -.s1Ar11sE-01 -.'isa04•1F-n1WOWS

• M444041.01-oliko-olim!

..4!5!0!4[-01 ..41)61;Y[ .01 •.ItIOAOAOi4L•A1 +.MYN^Itt•YIlot

•.1!0[[4!2[-^^i12 0 1 fAU.11.1f116../efu/JWI ,^ u *.Ja7^40H.41 •,saJO► 11l•YI •s4Ni4Ni•ni . •.f+Mi?rE••3

-.3144530E-e1 •.22Sg4/[-01wwsl .,205►6irt.01•1. •,1ra114Sf-d)....,1^••rIM. .. _ ..1• a•nA ► nSf•ni.. , _.

+ .1 66;4 Nt-1 tIRS 0 1aF•.I2,I;Ila

.ief25Srt.01 +,2110011[•01 .,;41A0n1[•d1 .,24!0110[•0! • audl•MuC•^il•.JJ1152J[.rl •y1SP4Sfef.el •,1074111[-41 -,IPS2)!rt-+11 -.111.414► .ci-. U40144E-01 -.14J4a05[-01 •,iSa40S6t+Ot •,ISIU2!f!E•ul •.i)enlu0f'-^i

ta n • uf..1:.r;ltr-.f N1SRit.11 -.2al1401t.0t -,54a3144► •01 -,lnir4101-YI -.1•^i••li•u1• :Iffel2St•ol •.I2aSai0[•01 +,ISp01S1t+ul •:13,#12!C-41 If, 1•.I2S44s4t.01 .01IS4400r.61 +,11132261-91 •.111111..30-41 -.11l4uIf0 1-.10445041-01

INTER /0401[MIT f0Ae1[411 KIITTAt

Nit FORM CAUSED or N1 YOAT[ ► S[10NiNTSNYWYYrNNN..-•.^--^.-..•.•MNM ^. w

106»► • .51143315 NUNMN 6 .S134431S .16444li4 ,SII06)I'+ a,p . F

C049INr110N I

/I r .00100"3FY • .d4a)6250f2 .S11187400054 a .21r141A4

52

ORIGINAL PAGE ISOF POOR QUALITY

TABLE 18.- CONTINUED.

IUMe r .See^hlt

tin . .I ►^.•.tt

Flo s ,•OIH•Nis

«onT« . .11itt1a}k

Iy a .us.

evil* 4INTaants

e M181amseT1 A TTACO, AS /AK 1-604UNIT 1 WOUND AND NITUO«EO

...... .. .... ! ..^ .....,......,.

_,,COLATIO« Tlve • OY/ae/}• 11.5..•%

.... .._ a ... ... ...a.

U«If }

41MOU100 Alm acTu11ve0

101e4 rrA*DV

„ItuneuT AL. vi.1000L. 49vµy&L"A 1"s .^... .. „...... 0.0.....0 .................... owe

!1• 1

,NOeeet ,9aSlleOr ,9a••S^o ,VOr1rrr ,V1%1^1J

,eeseafe ,511l1Ae .eelltlt ,•ea•^orr .••rt5t.e•of1A^ or

.wares ,"s"3. ,+^e•t^t .w^s ► as _..+117"2f,H•et'rl ,90••1.2 ,9TOT1.1 ,•SNrrS ,41eilSre255eee p,

..il• 1. 60U* f 31 N ..•Ne••1 ,91!11150 ,4021e11 .fw 71,IY

^. ^uaalas,. ,rsa+ ltL ^^a1M.n ,rON'1;11 -'ryr7r^^y,r,et{•a• ,eelesl• ,Stlnlno ,eetossr ,.^yrr11n

lag►^•rMl •o5NA21 ,^Nlt•1 •Y2Nr1Y .4^11lt+riJe1911 ,51fOtle ,9/911aSr ,91rA7i1 ,Vriut^t.ah" 0e1,u5ls ,SeaMN► ,4•rlrlJ ,M^Iw/.eoS55e7 00

,p5ee•1 ,9•Srte7 ,9rrno•• 0911:1565. .v ► pr9^qI,uslr7 ,92.12.2 , 911•IA. ,14"Alo p ,4111+1 U+1t,91r21%a ,91170r•1 ,911•pn/ ,411n)Iq .97 ► eVh2.oi1Al1• •9

la w o (A(^1fi^1111•r - •4AMM2 . • 0 90ir0+tr ^'Nwl+lq ._. -t41+►fr+► t_ ._ «.

1,OeSg2 ,9112117% :Opyf! ,9rNSr• ,47. 1au!f .9.1iSr9 ,9.711700 ,9S

NU1014 ,y11f517f ,4SIS^S1

,•.521.1 p,

53

54

ORIGINALJ' 0Vj QUALI "Y

• pp p0

TABLE 18.— CONTINUED.

r--...122- L SA{ 6.u. t3344.961.991 .i6rg3i 1.0017A• ,Vir121d .vNy ►^21

•0111111 .91911591-» °;^MiAf^ ^...

.f11S631..FPO.

.V636rf1• .irYt+N) ti .Vi4fh11

FIts ,MM•(1110.12.11))r

,i•rw•,961l.iHi92 11112

1•••eN l.1•^1tA1

.16!1999.iwt iPS.9NSS 21

.91.9014 00

^ j Yx CON•ON[N1 -.

0 . .2t H1•o

^.

SIep9^ts1JA6e0

•1119.4 /Y,rMt6M/

•y1VYUVA.flelhi^w,w

-

• 6411144 .6663611.;6or•3)

.61z1Ae ► ,9IVri1l. ,51uibVhtie 2 (At n •li• U)fe

11% —....1615139 —.Srftftt^_,. _. ,+Mli9r .:...

.N20610f,_.^s4ytr'?N

.617ti/d3,)•911.1.}

.rltsuio•1rfAlt6

• 1949.911 i F3eKrs_,...t ar 1-.. 4.646,43,441N-

-

0. ,21SN0S ,39011111111 .b212rf1 ,e4V3VIV

.•Silt/! ,•015144 ^~ ..:y

MV) ,1.61511 ./119114^. ..1a•a.•as. ...^126 V (A(e.It,I)1) n

' 0. ,2)•4.96.6126111 .6106697

,52011146,66943111

,iA104SM.6lSu6Y1

,Shotrrl^......., . ,&•It7/sj:,,....-.,....__^iiiilN,i^--...,,. ..., y i3ltfS?- y.My^Y .4A5111'1M

126 S (A(e.12,13)p•0 . .16solos.4311.93 .4ass"1

,239AS5r,460R26r

,31YYY4Y.4U/6411

,V2/J1ati+tY0b^1,AIS1015 319.16• ,39111?S .!N%nSlr

.

.lseiVlS_4T

0. ,1.90992,26203.6 .2Sa•oS7

,IS16tf0.t11n141

.t2^16i1,2uu126N

,^'h41 ► 2u `.2476669.22rsA 1•IfS623 4 p

,21014111 ,,?d1tu22 ,2114453 '

...„..ua .. J... Nl+ 419.191 )^ . ^... .. a

0 . , *ITIO [ • 01.131s1/0 ,4)49491

.2 enl nl.11 3•,)YOe•{r2.Iv12140

c.1SYUV11

.121.501 1117611

.1612362 p. 11901134

,IHIWV.Illinhe

,I?vh/^1,IU471}y

t2 n a (A(.vs2,[sl).0.,•363.43[.01

.i99iMtl.01,.1•srl3F.01

.2r9/e60h01,r3zipn9F.0i

,YWr71rE-,N,S4dT,ln{s+011

.39H 1ry[.01

.3136956[.01.36650.01.01 ,371{InV1.01 .SSI(ItIVF•/:10.

w COMPONENT

III I

120 1.365045 •,2141754 .,12ITS74 .IV1S^ti„f.+dl

. I0MN4. 404-41,Y11 if Sb /F •111JSb1ti1e4.111

,ul1 u 111111 ♦ II • .

ORIGINAL P it, - laOF POOR QUALITY

TABLE 18.- CONTINUED.

K-

!i. 1 (Al n .12.11)M.9040991

*It,9N4tlJ34

I.nvS ,v1SAS0M1,0031Ntl,4M^AR1 1

,4Jn121n ,vw +^6r11.1000115 t114NS.114St23 p, .9A1Sal5

,v W11/t,1s$nuVl •'''"1'441!,

.4rv4nlfTi m A (^(•,f?,IS11 n

..000941 .vAfSv301,000041 9A

1.00;1015 11.4ev1^ ,yat,h„),,9115051 .v1lA2Y3 ^91A19h/

r 112A1904 14

.460111)4,vwC11Y1.

/UUn j4.4.1109490 O.

Y COM^ONFNI

13 n 1li n I M6112,1!)) n

0• .226)303

19600.0000100 ,14

,31Ntt•a46140Avit

..3V9N"IV ,SI NN wlw1

,0M11724 66v1621.c6t4oil n.

,OI^,IAY7,slV7tilr

.0144410 ,n1w..vur.410 ?ny,/

li n z c^tl..IZ,13t1

0•.11199J!.1011159 .70,14570

,$191111,NJv1A0S

,vNV/!9tl ,n111bIn.6061101 02116A)1i5A6AU ^^

/7AAltN.N2nA109,!1"vrVy

.01ltilJ,lJR4441,1

[is $ (^ U .12,1311 n0• .11l^su!.1430204 .40,40101

,SvO1SS5.M01vA4Y ,'+212n^J .etiv4140'1

A S6l415 00139407 447,!0 • .^lu?613

N. 212114,16.65517

,nyS/"!V/140!0+

0•

,

.2240020,6126111 .n106av1

.SJM^SU4

.0411ISS,441044#0 ,Sn•61+10/

.6047951 S9474JY55055/7 ,AS1911i

,"$Join" ►, 0041644

,nISN1 m,i+.•Mr21

a

128 5 M0 4 12.13)) n 0.

0, .Ifbulou,u$lltiv3 .02SAea?

.2S9A55V .Srvu+l0" ,11,+0h•0140055 S79tl16tl

.Yeu? 1 w4,!v ► 171'5

,a'I/°'1.1n1n41^ viUd5 •b

1l n.319uvo46 (A0.12,13)1 nA. .1040942.2620346 .d56NOS7

,1ti7N4V0a / 10).41

,itblelr,2u7e6e4 ,22"5614ItSA2SV ^^ ,2307411

,1ug72A4,!114922 •d l ' +'/S

+jl,211n^1z• 7 (10.12.131! n

0, .e11tUAyE.I/1 $95 )tlU 1346u119

,NV.+3enIk^U1 ,Iv 121 4` . I S u,'+t l0177511 ,119e^tp .IIS4ah0 In ^1711'11I010552

I2• A (1(•.1?.1311 n0 . ,laVSeN Vf •ai,v$b3Hv4E.01 ,vin5ullf. ,t1 ,ievTOnV^•+11

I t ri,+nvF.0,0604/140.•.41

.1v36950E.0( .34650Utlf.ul

.31JeVSnE.01 0.

, l,111llnvf•ul

3 7;uN.^l,06,S ti /,trl4f.nl

+^ '+I'}.tr.,,l.365lti1w...+l

CII-PON/NI

13= 112 n I (1(•,I2,IIIta

.3"SU5t:6 +,214774n , 1!,17.474 . i 125/, f ..,,

ORIGINAL PAGE ISOF POOR QUALIFY

TABLE 18.- CONTINUED.

• .19990511E.01 .909f/fbE•01 •.144^A21F•UI.671 9406E-oz •.121f11♦Sf•01 ,IsSTSAU ► -UI

12• 2 (•(.,12,131 ► ..36SOS6b -.22161191 -,116A16T

-,S6S6A6SE.01 .11b461b .117nA6Sf-U1.4dlaosiE-01 - snwt•YSF-01 .619nsS•r-01,310414SE-01 A.

.16SOSb5 ..1744470 .,9434994F•(1)-.61`6 4bOE-01 ,121u9so ,aulklu2F-01.64211SSE.01 -,6 5 4202E-01 ,756,911E-01.3072130E-01 0.

IR S 4 (e(srl1,131)s,Sbsos6s •.III2s•1 ..0641469E-01

-.11966296E-01 .4s66702E-01 .SbbS4,)3F-01,6269600E.01 •,501111TE-01 ,0614131E.p ►.S111505E-02 02

Its S 1A(•,12,13 ► )s.16SOb65 -.62111116E-01 -.4015990F-01

- 1 1612 ,11669.0) ,11212u1E-pl .1677TIIF•91.2047 462E-01 tlS10462E-02 ,7919564E.n2.34263100.02 0,

124 6 M ov I2,131)s,365osb5 .,31610012E-01 -,41TA717F-01

-•3Y3S219E-02 -.91301i2tlE-02 ,Isb62990.01,6211962E.02 ,6?p)492F..U1 .sS110401E-02,6201515E-02 0,

128T,

w e' 12.13))11.3650565 -.2500149E-01 •,S1AAOn1E-n1.2S6s31 4E-u2 -.77149026.02 ,buTT916E-Jd.3669326E.02 3013095E-02 ,bOSoSSIE-04.7161019E.02 0.

12 6 A.3650545 -,IS64274E-41 -,lSI9^NUE.l11, 9 331 b00E-02 -, +130262 .6-02 .351A2•SF-44.3114903E.02 .3500336E-02 ,S7T11Z1E•U2.74402S4E•02 0.

•, I s 1Y441E -U.1-.If ► uvJli-nl

.bi71T6^E-J1*,124An54E•JI-.STAaSJuE•Ilt

0444Ab3E-11-029115VE.61•. d 10 It 79F-,) I

.IA6A5nuE•UI-.^1n1ud6F•^11.I TOO 14F0 I

.5sI11n1 ► -+lf,-.111tJ112E-41

.h5b'lSuiE-nd

,1Nd31411E-ild•.t7Y4A63E-Ill,n419Y)IE -A2

I4u117AUF•40,511326?,!!-0l

-. 117110MF -111.31045T UE, -04. 51439490-110

.11b4w1VF.111

iti.ln4nl t-111, r(,{tillnl ll•n1u 111,141E-111

,tln.1 1TOO 11• bry 1 3'1 hIF.11. t 4u 1 ^ Is ► •,1 I

.611 1 1 11 4 ► -+1111 11.400 - 01

.31134/9Sk-'la

.u215o3'1k - ' 1 1

. 1 Vnn^1+eE- nt,bldti9^uE-,l,

.13114/IMF -4)

.11 I i'911t-11[

. 7111^ h1^k•.1 ♦

,pN4hq 11 F, - 11,^

.ulnilu11E-tic,b2+1141 tit -0f,

,2,0000 ,4 ­1rb'1 4 11190E- 10.

.S4t111140-ue

ENTER FURS2EXIT FORS2Erli RUII82

NET FU RCES CAUSED. NY NI ANO N i VONIfM SECNFNIS

NOR NF n .57349315 NURHh a .51}49315

C04(1INA116"

Fr s -.00250221FY s ,0461.2SJFZ s ,94609022NON. s .3523.7A1uNONYs

-,5b3261A1P1041 • .0.4207007

FYM s ,17123ftsuFY- . .0ub39pS0F!- • .AA98AQAp

.In4uu714 .S/349.lIS t.,N n 1

56

ORIGINAL PAGE IS

OF POOR QUALITY

1

• TABLE 18.- CONTINUED.

"to " ► w n .SNbITopMIr n r.l r ^.SO461A1NON2M r •.4140g267^pI1tSS11NI5ENIto FPANJ1:111T F060#1ENTER FPAh2 .omprEMT 16prN2[LATER NRt$$

coosp lITAI10N 11F pNESitflPf

NCOItr 12 1r ................

pool• 0

1 I ,10640 .024141 .511 ► ^I3 I

,32844,S447f

,ups21 ,7SAA ►r ( .7h2Tl7

.14105

.176146,'+wt12

I.11lhl0S I6 1

,64(1411.144 i4

.A Sb0-,SfdSn

I,yeS)7

I.14SS57 14 1

1,410-70-1.6547)

.56'132 1.40-0-22

I I.4S26A.42612

.4A2(1hI.fSh1hI.1ch7i10 I

It 1907064t.148e1

55417.50hSr

fl12 I 2.5060-7 .bS34I

1,n0AhS,400)2(1IS

14 •/I,IYS .AVgh21

IS 12.7224•3,16046

,1672

1 6 1 1,3704.7.A?JAe,,0-0460-

.b0thh,5144140-1 2

2 2.IMAQA.12674

.u2^h1,d71Ah

.a^tAS0s.,1 2

4,54471 .17311 1.10,714/

h 2 .74845.172M.22I0-4

f.0-6n4l1,7,VU47h6 2

12

1.17017 ,21n043 2.0a^h18 2

1.4167NI.at472

, 3)^111M,1e43)

7.31 74•7

10 2I.hQ04 ,41AS6

2,26,720-).ur-5/7

II 19.01nb42,10061

.4e114u

.5112%1,75405

1) 1 2.520-67 .Sh420I,h^n17I.1, IA40

14 2 2.74240.61513140-..7 7

1 b?;1I7

1 h 2le

5,16046 ./14,12 !.23)4710-2

! !1.37847 .7h31e t. O7p1q

1y .1(1444 ,I110A1 .SUtp1

3 3.12h741,4,11441

,46150 ,40-411

! .70-241.1nal7

.I4'ihl1,150-51

1,0.91irh

11

.74n441.14070

,1147514

.92`+11).13{1114x,1577111 I

o A I

101 e 76 ,27{I0-; P. 334 t,1

I 0 3I.ht471

1 ,14c16A.31250.

• ^ 5 ^117),Y q111

1 In 3 2.14!20-2 ,5750001.1114,7h) .110-0- 0-I1 S

12 32,2M^h12.0-(10-57

,ntl5(1,. 7 '+ I!

7.1.:0,7I.^Init11 3 2.700851 ,0-2140! I.Ff^i^

y

57

0r.,UJN1`jnF pOOR QUA►LITYj

TABLE 18.- CONTINUED.

2.94244 .S6J.ti0 I.ASA?1l.16(1404 .0041/ 1,4060473.SiA42 .a45M!t 1,14??h.100,94 .ul/nt .41174.3?h99 .USI14 .r44IA.5409t .004523 1.1590A.16211? .11'+3? 1,31•(14.9110111 .15 A ll l I . PrQI

1.10 111 • .1444 1.01075I,wlhih .22159 I.A09171.6391? •255(16 1,0001451 . A5?6 04 .?04410 I.S4n5h2, g 1(164 .3?$Ab 1,56114

211 04 61 05195 1 .'1u 1h 1.t,Sp651 ,$00115 1.!+'1612,1?451 .426 to l a 11 1 b2.94249 .w0Ud3 1.111"433.16046 ..49440 .420413.SrA42 .520441 .69497.10 44 9 .111 Psi .31117

•SfO91 .0WIP4 ,A7hg4,762111 ,U90hO I.Alnlfh. 4 140A3 .11 431 1.10111

1.10A19 .I45p; 1.2(10,??1.41676 .11045 1.n014/1 . 6 1 4 12 •1411044 I.Ibn44I.A5264 .12436 .001102. (17064 ,2514 .44(1012,2AA61 •176.1! .A34442,S6b51 .3(149^ .NI?M7J.• 7 ?451 .$$I wit •0911632.94244 .sS14% 0,H) 443.16046 ,$4447 ,462573.37 0442 ,4hInA .IV?3h•1009A .UO441 ,!4411!.1)694 .U?•bwl .4114-.54401 .4a11ti ,hygti.76707 ,Uh li st 4 •1h07a.9010A1 .UA523 .k/nla

1.140479 .111417 ,h3h?qI.itIh'h .17511 .717011.6447? .14L04t.452hA .161+46 .how,2 . A 70h 4 ,1144"o .641112.24 01 6) ,1a9h6 ,Se?0,42.511657 .117hu ,4411•,2.7?1151 .01(174 .4111 0,.1?.94739 .155604 .Soh?++

Ih(1ah .cl4e .I4n if3.17647 .19546 .11144

I n h 9A .60'seA .?+11171•31694 •41 Ins ,{35404,Sna g 1 .00-1I ,5272+1

?047 ,UIIII• ^Mnw4. ,1.4111 ,lggth

1.IaA7a .1104!5(1 ./11P SA1.41616 ,U i.)^h ,64(14 â1.0.447? 1 ,h'sS4ryI. A S?tt m ,v4o S'1 ,447,14

As

ri

58

ORIGINAL PAGE 11OF POOR QUALITY

TABLE 18.- CONCLUDED.

1) 1 :.2/•0l .11.12 440!6/

_mss -11 1u aL .

s.16a6..41,41+•+45 _ _

,16411-si+r,.r.21.61

1 ^ .IAN/,^o. .-.00IM

T++r9r.1••11

_

! •_41 .-41

.9.141-114i"al -

./110! .fit.114{!11- ^,,^,^.. ,. ,... =--.+N•/ . I

• •-- 10

I.N2o/ .41220 .5;

•''--• ,o//w

.13911 ,•621!». ,-4141/► _

_13 • 2.12015 40.1!1.!#;0

IS / 3.16046 .014.2 Jolly-- _.141_. „a ._^t,itssa.-... -•.aa= ► .a•w _.

• f'SNNI /E• LOAD Al•1111/ullons

n55515 Y[f !'̂ YefD,j_-^^ ._..._. „ .. .. .. .. _,-...f • ^.L._^.^:•"/` fJ1t/la_. .» -. IiAI►-- L+^.i« ... °rM.i ..yyr•i,.^. ^"

^ernIY^lIOY 1 ... ^ ...^

° 4.2 •0 1 rtirKi^K-N ^K414[.441II .2500![-01 ,1.110[.01

r^Mto.42%•01.!H•• .YH4JF.-AI ,wS.,r.{4.,^ •^^,^^

d- 3 e41.--

. 1 M0E-02 ,INllek-ul •.111.11 •u?11 J629^ ^

•/L•*171 .16112L•J1 .1%564[•0) •+ ^.2212)

MHL-.0y40yL-0! .ititinrk-41

-. _.

.IA7ubf.ut6 • ••^^ i,l. lisl6

/ Cf.112.1

,4M44t-fl.20•tIlE.01

. %s4p

.02.41.,140.11[••!..I Sit? 11 .02

.104 I OR-al

.10111 0 1.01to 101 04 , 111 W44 r,.

-•- ;-• 144!1LOSS r1726i

20.20r106yi/-41 rS• M! -riI/10[•0,1 ri•i^-.,10•

,uNS00i.u!-.l.w0»f•+^

q

. t -40"A 4 •L-_

.z241ot.p1 1160•.l+.of

..b•Vrot•01 .2961oc-01 ,211110E-0110LI 'L 2.200 1 1

.22625 ,21711[-p1 .644 1 5-V b"90[-441-..09401E•02

.11d4644-44-

.15r45E-011 114 2 I F - 14

.157.920.01

'a 507.

13 7^

• •41••4.279/)

r'^ 3 5444*

r2KA•[.012/•445.01 ARM.+!/1,

.y11Slo-4i,dslyjE-0S . Nywur.uk

.2/nAvE n ul- .1MrFy`•r1!-, Lot 0 141K.4116.728

14 2. 9•t .2200•.410106-41. 261ASE-Oi

..16t0 -.211»1/E•pi .2741+4-01

_..--}3-d(.i.L40. rL__^.o^}♦ +i9H^Mpl. 6190A.}• ..

.70u4vt.AS-t•?Wi•41•

.1A / N1t.A1 . 1 r11-a..►^ _

1J^ n 34111 ,14122it ,fgl06t.01 .05415 •,d215SL.01

.r1i^+.K-^1

.vrlirnc• g l • ,^AnSIF -rf.

4-- EMONLi 1.110021!1 LINES PRINTED. (RENurE NJ)

59

ORIGSI.IJ.'».. rsml1c Y

OF POOR QUALt T f

TABLE 19. — SUBROUTINE INPUT FOR APC

I SUSRONIINE INPUT

c TMIS VERSION Or INPNI IS CONFIGURED 111 ULTERMINE t»t NECISSARY•-,•^-^,-^^°t 1fOMtYRI •MU ltNGtt[ft+1Tt^^wr6-1TtTNG' 1 POTMM GlpMttRl tttt.-°• `^ "`-" -""` '

S C

C MODIFIED SY N.M.E. DE SjLYArN^Y 10711 70 INCOAPONATE TMT PIL OT PANAIN-

LOGICAL GROUPs

INTEGER CTIME_. _.-__- VlnCna, wn y,lnp,—?el rrC a,^v,

DIMENSION UVNMtS01rIIYrY(SO),UVMJ(50}rYl(1r1Suu)Of MtMSIOM outw 41r;-Mu"?rt77rMUM[11l1

IS COMMON /ACASE/ ALPMA( S ), 9E1AI1 ), FSVM(R 1r F1Vl)rN ),.. a^^.... 11T6cA3r, M.rt3E .. w-

COMMON/NOON/CIll.C41,1111f1}rTLI(!)rOI+IrDLlrtlEll(blrNClIrMLUPIIr_

COMMON/COMPRS/AMACM.NETAMf,MEIAM,SHETAn,AflEtMS,ALFAY ,H TA4'r

."°-tt° , ,' -• 7SOM►pttlt'ATTOT^11i^Ort`TCfTrCITNVIS,l1' >e=, _ -COMMON /CUNST/ OUMYC(6)r NTCPr NIP, 0114YD, III"COMMON IPMCIIFT TRIP', YR[t', ZNEFr $10M SNEr, CMEY COMMONIINnEM/NTS(SU),VTO(SOI,NM(501,NN(SO},NL(b4),1.P1bU},NbS(Su).

IN3ITrs++l, Is1r,PPIMI'M53 ,2S 2NRCAtS1)rTP,ryTtsn),NNE11,»JMPI,VPANI,NSNG1rN5hGll,^+St.fi1,»CYHI,NSLUI

COMMON IPSPNTST 2'►TS OU0TCOMMON /PMNT/ IGEOMP, ISINGP, ICn1,TP, IHCn1,P.1E04EP,ISI44S.IP W C

- CpMMON/NC'ONS'71T: ►1Z:PTf1'_,.,. r.._ .^._.COMMON /SKRCHII 11IL(20), In(1u), LU6( 50), I0(52), FLT(S0)r

"'"""'W CE61 -1i r gCOMMON /SYMM/ NlYMMCOMMON/D arm GRK'/NnTC1i1(DATA GROU P /.1PUE., .FALSf.o.FALSF.t .IRUE.;r6A,FAISE., a.,TaUE.. SA. ► ALSE./

!S DATA NU wFII, N. no a, 10 0 11, 12, 15, 17, .O,1214--2110 elo 7no eT o . 25. r-.

..

DATA nU ML /1, S, A. a. 10. 11, i9. 1", IQ. 20,023. 26, ?To 2M^ ,'!Zr `SSi SR. S1', 6r/DA TA 5IEP05.uo,

"f0- nit&4AMOPT /1/_.

DATA NiG 171' I

H 1AMFLI51 /(UtA1/ IDGr 1+1HCL, 11180 4 , M7uCL, 4[HLU. n1PI1P1,IIPOT,05, 41 0. 4 1'G rST[t° .

LS NA^FLT51 /IAt A2/ +l A CASE, IC1,1.tP, Ibtil^lNe- IIStNGPrI11CONP,T[nrrP,tS1MGS.IMPAJCe NaYMM,SMtr —°-

2JfEF,RPEF,CPCF,^wFF, NPPCOF.1MACM,NI+ILMK. ALPC.ni.1C

NAM[L14ftnATA U/NLOPTI,4 P O P TIoCUIo LIoIUJ#IL1.111+1,OLIdIC11.13111.s0 INLOPT2.NROPT2. CU7rC42, ► 42,TL7,DU2.DLt.nC12.tE 1 ? '^" "'

C TM[-POLLn W I NG 111 tEwPnMARY PUN nrnUG.nn 1 i.t,lbnn

SS JwI2,I)".222r1

C I NI TY141 i3t THt SINI.i1LARItY AWWAYS

60

OFMINAL PAGE ISOF' POOR QUALITY

TABLE 19.- CONTINUED.

r.

_ 'T1iPVt"' "'IRf1r' ... FTR fl • • .. PANE

00 t0 191050

[10Ina

10 AITO(I)SO

C•••••

Cf•&•P

I Mall)

jr

10 Cu••f r r... — ,..

C••A••-- -C MRF 11r fitF.U"na:...._. ...,

14ff•f• ,-

IIINNETT.L1,1 .OR. NNETT.GT.S0) "R1TE(b.6000)— '—TTfRRCt1;t • .st'T 3TOP 13" -. ._, «

CA I** p

°• " 6PRIM. Ntttflnt. 4mv1IIt Tiif'C1/1^ITTp^,C'6'ia 1socost** .. N

MM I

CULL DATtffIT) I

C ALL 11"k(DY)•—^'—A9_

Cffu••iAiTA TT1T1TA7 '"^

L'sfeuOETER..INt NET NURK CONTROL OAT&.cities

90 r

•,••. ^'{ffffff•••fff••ff.••••••ff•I.f•.f•.ff•.•1.•.l•....••....f...•.I.f ••!••...••f..f••T'o'err. 4"T Or' Tw["MM"

C I NP T V IA NA MELISt f)ATAll x

c Inc..I OCR? IFI"Tt" IV1 "Rt* U► THE rf tt"c lsty 011 c. IDU rktrtr .--..« ^,C IF fnG IS THE SArE AS FOR Iwr. PPE^InUb NET ►ONK.

" C M ttTCLr M iRC+r,"TICL,NtRCtr• COF4100 PDT r1T INnICEt W14#011" tt4-r +c ON THE POIFAN GFUHEP'IiT FILE RfCn wt PAFI OF Trot 441011004.

-C."... ttYT fMl ? lu" for , _100 C Of TwF PANLLS nN THE GEnN4TNY FIO NfCUPt PAN? OF Iwt 'eETHnNK,

-- C THIS R0110 At fwt * ff""T rPTCAL SIVUSIMM, Ottl IF # "-f il ls --C GEOMETRY F 11E CnNT.INEG A Of.FLECiFU LtINTWOL SUhF.CE, II+tN 1T -V1 1 L0 ni

_ C nEC ► SSARY in f"a v !m ' *INC AND CVMINttL blt.rs•Cts Ab 5 --C ANO TMT5 COUL D wE nnNE BY USING TMt. S A +F GtI1MF,1Nf FILF itvEHiL

C MAPnPT +. 1 N 0E1:PAPPIhG UPTION. TNIS 15 11$it, to CuNIMUt. THE +AY L

C IN WHICH l ift POTiA't CMILP ANO '00 01alt P UT +.f TNPICt1^-"`-r C CORRESPONO Tn THE APC C(INNEP ANn C -4 01Thu t. Pu111 IanlCl6. IF 11s C ANn 1 2 AMf Twr PnTFAM i finleE3 dr y " II VEI N (. tM L INNF r IhnFx IR 11r-----^---.°

110 C If 0 Ahn 4 AFB rNF APC 1NnICE6 - I Tr+ i lit I "14 T1l INI,/, + Ihn/A, h1Fa'^---....,-------_ C"- TNT' FPft nr-u(PTIPT AFFEC T S TtYE-=RRr A P M. e

C PAHnPT n lsC v It.CREASFS *TTH TIC v (^CNFs51i +I1N (^

_

61

c,► trGI;^A4. ►SAGE E9

OF POOR QUALITY

TABLE 19.— CONTINUED.

-►.rPf _ .__ .

11! C MAPOPTP21..

C N INCRE ASES WITH

n„_

IIC

M DECREASES wiTN 11 1

C MAPn► TRAI^ -19- IM1.111 Alta 011 "

C N DECREASES WITHit

1!_,I2S C T! D[iAULT UN T: tf 1 FOR IN! FIRST NETWORK AND IS tME

upC (1POTTNNETT)Y••INDICATOR FOR ALTERNATE POTENTIAL f VELUCITY CUMPUTATIONS. Y

COR N SO" acvtt-C ;;

7LINES ONLY

C SPLINES a INFLUENCF COEFFICIENTS

C. .#I UPPER SURFACE VALUE a to ME COMPUTED FROM SINGULARITY

IfS C 0#2 UPPER SURFACE VALUES TO BE COMPUTED FROM SINGULARITYLimma

C DEFAULT IS 1.

C 0 SOJRCE FREEt_!me

, _, , . __ C . , 't-'OTM[R1Ytf

C (NTO(NNETT))-•Dou4LrY TYPE of NETWORK

C 12 DOUBLETS aRERENI

PAS11 C

to vullaccl RARE R0.1020 DOUBLET MIKE NO.20

_ ..

C^^.a.^. u b u uTNE PROGRAM EXPECTS ANY OF THE FULLUNING DAT A TO BE I NPUTC VIA RAPIELI ST TTAT77T"'„_..°...__r.....::• ,. _ ... __ ..C MACASE- •NUnRE R OF FREESTREAM VECTORS FOR WHICH 10 ONTAI N .SOLUTIONS.

C ICO43•-CDIITROLS - PRTNT011T Of CONTROL 001NT AND BOUNDAR Y CONDI TION ^+'' •` C DtarNOlfi -Dr I-CX»SEa • ° ► Mr p*" ,tn, .

C DEFAULT IS 1.C TGEnWP-.ltxTCyk"Trf°T 'E*CERT TT"rDNTPOL9,ure

15S C DEFAULT TS'1.

C_..^.

DEFAULT'IS 1.C 1BCOMP•.S7rtLA01 To 'Tellf— EXCEPT rr Ct+MTRW BOUNTNRT C IEDGEP- • STMILAR TO ICUNTP EXCEPT IT CONTROLS EDGL HATCHING DATA PRINTOUT..tYe._ C DEFAULT 11 T. ... _:..

Y_CC_ISINGS•• SI M IL A R in TCDNTP EXCEPT IT CVNTNnLS SIN6ULARITY STRENGTH #NV

C I PRAIC- ► INFLUENCE CnEFF(CIEN ► DATA PWINTOUI.C 20 IF nO DIAGNOSTIC IS REOUTMFOoDTHENloIBE en ff*-'P ellRimat POINT_.^

TAS C DEFAUt T IS 1.C NSYNN.-SYNHEIRY TNDTCATDR AS FOLLDRSrC N0 No SYHHLTRT. .C, T-= f• eRPRMwr-t,0 ef''s- 1. If.a tFC nF IHE CVNF1nURATInH AS IN►UT,

I70 C DEFAULT IS AC a t.7 Ahn X-Y ASE PLANCS OF SYHHE TNY AND PRUG'4#- FwPfCTS

62

ORIGINAL. PAGE 1

OF POOR QUALITY

TABLE 19.- CONTINUED.

WMOUTINE INPUT Iwo OPTat HOW 10"01r •---*•i+nl+~r+r •t1.11.^N +•^.E

C_

Irmo u4il t.Gr.O UINki[N or fNE cow iu11Ratwe. a( « t04P111. ^'C SREF••RErrRf"re OVA FnR-[NfIRE CONFIGURATION. D[FAULT 11 'C LAST PUTFAN rLUNk11/f FILt II[AO IN.

in, C KRrr .rOFr.ttlt!r• .lnF.itTOR g00T 101 111CN PO w[NIS w14 n CnR1-11'M;C DFFAULTS ARF FLT(t0).FLT(11). ahu FLT(12) FRO" felt L•SI PU FAN_... C`*

,. M_.,. . ,"., . ,,. ,-~

`-MwfT" IM- 11,111101

C LEhcfNS FnN hUNftI M[Nlllf r.alltlMti 1001V4111 414110 h-LC 1; To AND 2 A11lS. RrWMTtWLr. n RF A ULTS AIM PLTttlr ""

1o0 C FROM THE LAST wOfFAN GEPNETRf ?IL( NEAU 1N." C APACN•-Fwrt SIRTSP w"" 11n)IgIR1/. 'OtraVLT IS MO.

C NOTCNM ••O A T A Cwr CA FL A4 . 0 0111 1 DAT A C N ► CII 010.0 1"'Ih - 1SE ► ULt SwOW10111'L-' h'LLC ftr so incit •• -

C W al)0116."T1! C iETCtCENMRtttT11TLT ► T7TRCCTT" aNGt[ ( IF TAM I I I O.OREEl

C (r[FalillPO.'^"` <""' Ctataaaa'atNaaNiia^ii'ia.i4taa}a..aa....ta.Ma...aaiilaiaafaafRf ^tt^ttt7T7fffR'^ ,

c uAaaaaaaaua•aTNE PRUnaAN LXPIrTS 4041 OF INE FnLLO-IfiC. LAT4 11) 41;

IM6 C (aLPNA(Nat a sEll•+1• NRLFU OF well FOR EACH CARE. AfAULI IS nau.o.C (RETAI"A1CA1T)!`-i 4sI (ES nr'STOE3LT► FOP E A CH CAST. Pn7TTIT[ Y —*-C FREFSTFEAh CU N ING FOON TN[ PIGH1. UtFA f)LI 13 M00.0C (PSY• (MaCa0tT1 • •R>iGMITIMI[S OF" TNf MEFSTR[AP SPEkn PryR tarty wt:-c nEFAULT IS 041.0.

CaaaaaaaaaaautaaTllr PROt;RSI+ ftP[CTS ANY PF INE FULLUVING naia tv «We-rvv" —«C VIA N.NFLIST DlTarc _

2 00 C CLI ,CL.UII.nL. III* Tl ++ Bah! AS t% C().2 NASA CO-IS2v40.Y A t.E 16,C .. .....11112. R TO ThE TTRST fC nEFAULI VAIUFS n O.0C (RETIIMACA STl1-F1NST R111ROAN' CnwnI1tr'i (rU(ITPL01+.1 s .5. Vak11YV •^ ^^-C OEFCAULI i1 0.

205 C (MET2(N a c aSf)!•SECORt) NTIUtin a Mr Cm rfrelITUNtrut.I TOLE I r. •1.5. V.LntB - - ••-C •U[rAnl I IS V.C MLOP(1.RL !"W"MC IrTf SMES P410 ►wr+*ft--C hblllln APV C(VII)II [(INS AT 14t C(10401. 01 ( 1 1 h 1(II '`dr Ie41; NO" -)AwyC Cn+lntf(1)0111 IS APMLIFD001f nI INESr 1W`a N A"t11. M S IS 04' ft"!f*'r►

210 C 1L1A 1 LT IS t.C NROPTIe11wn ► r 2 +•*F aA rEf[RS GII vf •NtNO Cr'w w[bien4OiNl, -.-q .S. ' 101 r-c- ••.C loon MUIINI)w COHnIT1045

CONNLNT 0'114 '1110MAI, MASS +I L IA y.C.tt! C 811,12.13.14 rLlw 4UP"it. VLLJC111 4.C.

CnN N [IVT AMuvk VALuL5 1 1 16 -it Ow lCaaa.Raaa.aasaaa a 444.164416 uaut•A•.t.aa.aaa..aaa.a4tAA.a.•t..FI•+-•7^'t77A/tt7.^t

wE6n(S.1ATA2)sinwriesaviv

220 on Ion ,, 1111,-;4CAStRtantl.nA1a1J

loon CnkrIWIE•w?rlrrernA1A1) - -ALiAVt.90.0

(f (4CIL M .tt.U. q ) ' 131 AVCtttrtCALC 1 11 A ,1 AVF w Ar,L ALP"A A +In AF1A

c5 rl 24 I • i. ,ArASF

63

0RICII4At- IAA E S

OF p00R QUALI I f

TABLE 19.- CONTINUED.

-^»-->Y^W 1 1114A Wo •iNff 0absAll •.• ••-- 1 N• • ,♦ I.A f.s1 • ► •+1 4

ALFAYOAALFAVf) ► ALINAf1)

as CON ► INUt—_ .-, -^ ALIArf1n(,► ATI►FRtORtT+FACAfl1 ,•••

RE ►AYCROETAV6/FLl1ATINACIOL)

all 17, CONTINUEx TFtAROMOT.O.11` ° .. ...,.

•ARITE(Ar100tTI A rACN. ALrAVR. OECAV6

NoIIt1%.A024)too Op re.

.. . __..r

rRl ►t(606010) 1, AL ►NA(1 ► f REIA(I)r FiVN(1)fro CORTTRW ». .... _C.AUACAAUAINIT'IALI?t "L L' XWR• AND CONTROL POINT CUUNtth,

14S Cuo.A..n,0IRN/U

C m e o FAt1TA1111 GULOUR ON NE ► TC,IN! NUMRCN nF CUMOUNENI NEIsUNAs2S0 00 100 INETRIrNNETTC

CuuaC

NIRCLooNIOC1l n 0 ....».». ..

tsS N29CL n ON:scll.c ,..._ }.REA01`SrOUAI )N11T TfTW iD ITiT7 — ...

. .

RcAn(s,oATAr)1100 4RITE(b,nATA4)

CA..A.Co.AUf•R14T NFTVORN NEAOER.C.o.*A

26S C•....CAA•AAIIEAn RUIFAN QEnYE1RT PILECu..AComason/E4 GEUMrTRf FTI,F

CALL pP F VR(NTr„ 1, Ih4r 1)PTO ` ' CassaWW" RM. 'RM-W T'7"*C7<O"DATA INTM RCRATCN ARF ► ,

LOC(11r) uCALL RUUMA(NTG, IOG, A t LPT, GOMM , .f A LOE,. 41ITLr TIT" 1

RNIOr Ur, ILVr„L^+GrNI4Tr141rNFL1r FL T , ^' +"Fr ^,anlr *^FN.i, ).Af+lN1^INT(R)

”. '.

2?S 40INT M f» C VIRC.'Fm.- I ', -9,01 rR tfAmCR"pR1rts Tr 1NF N T ANn R2-12MC U- 1 9

L (RESRELTIVLLVI F114 THE 0 111F A N MIr ►.TN V fILE fMu= x+fk-1C 1NE n&IA ►uw INE ' t!URmE"I NETRnRt ( +1pCb. yy

1+tNf.AI^Tl41Ho 1+WRINT(S)

,CALL RfLFIL(Nft,1 it ^1) RCL t NIOC + +.^7MtLr^+7Rt+t'..LnwTF ANM +w ►► n N1 OTN► Ctt" n nn--"'C ha ntokellis f'infrCS.C 1M ► 4[ l"t o tQ3 Pflf""1 4t "A ► FA O'f1.4 U ri IME f•vlfAv '0:1'+t'1sV

2eS L FILF 4 0,u 0 E Pw;FL4 1'+ Tkt ul l w fN1 40t . 1 IwnMA,

64

ORIGINAL VAG9

OF POOR QUALITY

i

TABLE 19.- CONTINUED.

..... ,.a , «....of Mf T wb4 n

Ir(NI0C L.tU.0) wIYCL1l

244 Cove**

C...•.tNtf.L)••I/N 000441NATt 0/ /N[ 4TN 0410 M010 (1 . 1ilol) f4UN 001600.

C NNAN.•N0. 01 4AMLl4 1w /Nt ApC 1 OR M DIRECTION FUN 1011 CON410 AL(»UNh..^ ,

rN:r.Ml4t^•Nlrtl^tfr(N11011.[0.1 .ON• NIrOrT.Lp.31

tr(NA/O►f.[6.2 . p4. N1101T.t0. 1 ) rNIMIN24CU •N2NCL H

744 LOMPOLOC (1)

LOCZC4SLOCi7f

}a.L-IiTIFjPI / NI^GL, A. ^GY.1. nc, ,^GI

';IN1101/, 2M (I,l^t). A(LUCMCr).1(LOCTC)rA(LUC4t^))

LIL^MMAMINMAtl.

C.. ► ..NM (41r NN (M) ••INE NUN414 Of Hop i 1 COLU 4144 400tCf100 IN TNk X •NCtoyAh A

7i4 NNtINLT14NM11

C.. ;;SC7 Ur MUUNDARY CONDITION SPECIFICATIONS

MNA4^NNAY • 1 ^^^

00 LSO N.I,NrAMWO low P-MIPN.) ►Mt)

^724 2^0 CONTINUE

C.•.••Clrr•Ar ►R1NF= OtIMwr1►^^111r44wtMtlR"IfNf ^'KfMOMt ( CONI^OpRAIY •.'..Co..••

fi1F 1N14Cl.NE.))M41Tl11r1001)N)4CL ^

r.MR[TE(Ir100^)Ni4C

774 ( F( N24Ca1.N^.Nt^^iMrT ► x(1,1011 )N2Nfu.,. ^RTtt<►.^017T '^tM1^1'..0 -Coo***

C•^••^DLTER • I Nt REY'INOC R of 4EOUINED OAIAE a •.. •

C4fF^fLT(7) -^ - ^^3

710 MRCF.fLT(ID)

2rRf.rlrtl3)

65

01taMAL PAN 19

OF P CM QUAMYY

TABLE 19.- CONTINUED.

.+..+.-+YNi1114b! 10001 76010- -A►►Nl r r . w t } r ► at

C.->.--......,. inn0

f65 CKKKKN010 {U!loARv IRIGNMA ► InN Frio, CUNPuf11Nt

..w...> tA••*1 .t ......,..^... ,

rRITLt0.61ff! .^^^^ .,. ,,

«.. IrIM{T11 f1,L0.0 ► it01)ff6.AYiT)• -11h«., < 11tr/1wr'r0,01) rOt"M.LDtI1 .:..«W. . . .,

041 tope, StarrR11[1tnR1y)-1ftIL►7 IRLRi Our .«...... ^...^.^..^...."RlTC0060t61 04 CF O Mrs PC#

ff} K01TLfA^60f1}DD tot f rt . 0111171'

...0411910#6011) 1. Mft ► (1)+H ►nflt

100 C"Ttma-,>

C..*6._ ... W1111 W11%.. r<L"wOrR[+r'l1r-'ROtC'rlLT40'RR* -̂ '"

00 100 0++441100401r

•RIfCt6.UAtt0)C ALL Oft"C"TR AU[r tOr tD^ Awtr 11' ' "'

6% lulrMfl f ill to0I1Cr

It11Tl[TtTriD1YKT'tTrl"i NR[Cl.f ►r9rRrtitrNRCCOtrVTR;'°"'"'........... o--...-.-...s^.-....,..... «...

tf I0t11r I.1,NInhNlltrr ILO4f # 1, lii.Klu^1tf ttlN ► .NtLOfltfhlARrfl. yT. r+1r'!rlT ""'"'"KAIt1(6t0000) Clio(

sit JweilOLGNkWARrOC.....100#0! 110 0001)14ATC uT 104r L I P .444 i0f.) V014l.t+r AH1m

'•' ^'°'^ " • R['A V)(W wrrjt. eJTr''i(1Tfl,JOL)rlt l rJ l ,1 11 f (1071 V . •,•• >I.r?Tt3tl+l)r).1.J1Jt1

RC t11tN t MAit7 J1.J>'.1f,NKrt0fIP1.#^frN aAA[sl `°" ""°'

#f wtAn (fit *A K CI JI.JitJ3r ti p s InuNttIalr1-•AKtb1RtAnfNirtAt# Jf.JI!rJ3rN"t1UVf+ ► C1#e)if.hNAMIO)r

I ill y m y f 110 l a l.Nw6*tSl I f uv KY ( I) # jol t 0.46t11

> .. CALL RtL 11 tITWfW4W ?"C.....

30o CWCA11tSOATA11WRITF(WA1tI)

_ WL^nlSru•fAal ........._,NRitLff+rR0T00T..^.....R^.- ^

Iri no 110 IKir+..K.ryno 11 6 J91ONSL113)1•(1.11.rYtGRitlft"wIT4I7, o f I I ) MI 11t1r1 Utot,:T")KrTr2.IT)

j

1"(10,MItlrtl)3T0 CnrlTINQ310 CO'VIku£

Sfrom"% #)1. g 01TA . )'f(1.uU2n )

1^5 nn 13e t•I.N. ► Krato f

^^t1,tll+t^t1,1I•il+ ^w..`iti^wiry# I;.1l1Kx CTrtl^ii.

134 1^11.It)Kitil1.)i'11r^..1111.41TW

66

00I01ALOF POOR 4 ALITy

TABLE 19. — CONTINUED.

IM11f INWt inNt• --wart ll+l WyAro rf -1 "'^-^M^it^+«` M'il► .Yt • rwi

00/ ^•4^d1^t,N/Mt!

C«••••IOIN/ ^tl rgRx »/INEfi. ..^ •..^..^. «».,C••««•

M«Ir•N////^1

C•e••dNlkt /uNNINy IN000"AflnM FOR YtT«yMNt*^«[1..... c•«1•4 ..... ....

419 40I06N«IN//OEM a-0179. a A

YNITtCttrrOUINMIM

c••u•

._.."._^ C/ran /1011[ NVq[R' D/ "tl•R['* •11747/r •:•,° •. —••• •.C..^,.^M1MI.,+N(MI•.rhr mimo tR t1I Notes ► CGLII "M/ MtrMftfl^CLV fit I t +r,Ll • ^^ ^^

NNffN1111tiN[.T7t l•tYNIM

110 c•••••H;T UN 0cukn/N r CoN"11104 SW IF IrAllc v f -- «

rNlr.r^Ir.l

i on $50 wNIrNNOr

1 N11.1 ►11.1'CALL 'flulairl"'clill

164 CONTINU[_ "r CURT TUV!` ".

C^^•••0[1[/M1Nt MN w11WUr k OF Ntoul itio IUII

C

t'^••^•VNIMP SIIMMtNy (N ► nY• .r(nN fnN ^IMM

eNf r[r •I f0lSI

YYO Ir4NS1•r+,[1r.n1 rM(rr1A,t+o?'2I.. l♦•T^11^► . f!^'ii 1'1'7wT ^Tw r'R1t7^ 1

^' »^

iNil[f«rYO^1'I

seo ConrlNUt """"" ' "' "0o tYO r^t^^^N[r7

•.et lot? .61. tirrr,rrrt

R[1UNy

4 50 Spp0 rOYr.r11t+141etlfl0 F^M y .ff 7 NU^tIF t ►•. fi ll, IIM 1S TNV.tJ^Iboot iniM.rllmI110-01

_ • a4mns + ivicrm refm •TL M T MIT .1711 ptitor• 1*I•n f / "' ^IIAlm •^••Y« a•.ft.^st

^K15 r t g Nlt ►= ^! «CFh ^+^ a ► * •.nNl1! t'I f,'ivvtGUM.ftu^r '• 1 111

2•NObu^Nf . at► r.6 n 1 'iETe 4 1404 ., 111

67

•.rw..sewv. _-.sa ^1 h_ .. ..•

..^. .. 1 Ati!

AID)

ORIGINAL PIA(RE ISOF POOR QUALITY

TABLE 19.- CONCLUDED.

07S 6023 FORMAT(21M WMETRY • i-1 PLANE)

1 A02s FORNAT(7M eRCF•, i1S.7, loX, 6MCRCF ., F15.1, 104,

6626 FCRMAT(7M F17.7, IOi, 6MYR('F n , FIS.I, 104, «„

6027 FDRRAT(7N MACH n . F15.7, Olt, MNAIF A VG •, FIS.7, Yaeluo enetTAVG-1w:-r77:1t--

6028 ► ORMAT(ZSM FI.OM 13 INCOMPRESSIOLE)0O2f""TOITRdITCSRQt03 rMR. , 107r ^NRtTr `TiT

^eS NMAei(V1Ni1 y ,..rUWWKTM

♦031 ► ORMAT(/19,11, IIMOINGULARITY, oir IIMOINGUI,ANITY. IIA, 71480FAC6/

1'Z11'^ 'tF11^PE`TH7'1 11" 111 i WAR NETRORK7r 1INDRDEw 111317)76SM, 11MORDER (Np0) )

,•0 6.rORMAms, 3wor--

r ,

6033 FORM AT(I N $/IMQ/II NOCOMP UN(NTS/II M ..........

eels)6035 FORNATT77N"t10-11I"1Ntil'"PQRTl1t [ TN[9 P, 151

495 7002 FORMAT(/17404 AMF NEYOURK MO,, 131

7033 F0RNAT(INI/1N0/6N0 MAKE8/6M .....J w "WT—

h: r me

END

. .... .. n , a ^p ^.^....wk

1

68

ORIGINAL PAGE g

OF POOR QUALITY

1

TABLE 20.- TRAILING EDGE PUNM WAKE SHEET•

.....................................

TIRE . O 774 tl.5r.01

14fte BATCH »

••• u•^••.•••••••u•u ••• ►as••••••••r•u u••••••••••••••• u•••• u•••••••^•••^.••••T-4PftT *. ..._

•0^•^••t•u •••u 0000 •0r•00u• ues ? **••• •0♦••0••• 0.0.0.0.. •p.••u.• ••^••••••.1 rTfT'L1 .. .

•RIGT&OGUL ►R It I+AMf GfOPET N V RILE

Y • $OAIA tR00 1 NSOO..GTfIttS00.rL A41L94.0,1t2 r 1. $ENO •Y •asttaewTa •Y • S06A1 NYN• IS, m4owa1 04Ua pATA t0► Ts 1 $140

14 • $DATA Z00IT91 a No

!R • sOLA X GPSLt9-I.O,YGPSIIG n -1.0 If NOtT eC1rl0 rto 0PANL

T,lfsw s1TT0-i• •oaflzG.ti • 1 -1 •10 i •I1t • ! iNTfM{nR SIN4ULAMTTT •20 r l •i

._CA22 • 2 LEADING EUG! ST4G-JLAOITy

2Y n .^ .I

t! • ! TRAILING. LnGE 314GIILA O TTY •

2d • 2 TI. 114GULARITy

SO •0053St • sOA /A NS NI ► TI17 9 S. yR / • r 0 .R,0,U s[«032 •^INISM!}-rtW I h LfI1791 , 7417,1 . 0.J. OHM, .'rrh T S11*1, it, 0.0, ft. 0 T ► Nn — -^-- --•••—_ -SY •STORE» • tTHTA 1p9S377R f1NOSe WpINT71 stNO19 *STOP- ••999999••• .•••.•. N ••••••••• ... AAAAAA .... 0000• •••A•A•A• 640•100rf. .*9'99+9+9vr-----.,^..

UNIT Y tS nn %TNf. I NP1 1T FILf

69

11

OF PoOF oR QUALITY

TABLE 21.- DATA FOR SUBROUTINE INPUT

^OVAkCEl1 Pi4[1. oll n t r.o11[ al ill N-iin, I^ulu1rrns^nn^rnnrr^rrrrrtruir^rr^a^trurnr

NU4p[R 4F NEI"11NAS I.• G114FI1,11HAIIV 1 r +

NU4l1 EN Ul' wAxt, '41 W 1 , 0 00 s 1

pal! n O?Wlyo

LIMP S t?.J7.42

t

i

e

w

i;

?i

4

70

m

0RI(a1NP'fL PU^^^^O, POoVt

TABLE 21.- CONTINUED.

l

N.c.^F • 1.

Rohr ► • no

toEoN► • n,

TSINGP . 0,

iNCRbn n n,

1EDGt ► • n,

t$Ihrs • n,

104"1C • A,

Nlrnw , 1,

+ SOW . .tCfUtr

%RIF r 0.11,

YNEF r Q. ft.

?PE p • n.1,

IIREf • ,lE•Ulr

CHEF • ,lE•41.

nNEF n .IE•ot,

NPR OF f Y,

AhaCw f

Nn 11 hN f 1 .

AL P L s 0.n,

9t IC • n,n,

•Eyn

1

71

ORIGINAL PAGE ISOF POOR QUALITY

TABLE 21.- CONTINUED.

SOAM

ALMMI 4.0r 1t.ilt

qlI& • 0.0, 0.0, 0.0, 0.4, 11.11, •I ,C, n. 11, 001,

Rfvr n .iEoui, .IE.A1, .iFt o io .Ikr' l l, oroolr .1rol, .1 ► , n t, ,Ir^ l 1,

IVON► LOW IS INCOM"C50111F

CASF 40144 0 t•1 ANSI+INf1 ".00ow0 A. Anil w.I' A I,4noon11

72

"MINAL

OF POOR

QVALIrY

TABLE 21.- CONTINUED.

R 4190L . u,

41901 • 0.4160L • 0,

42MCU • Or4^^0•T • Sr

tPOT • I r 4r A, o, Or O. Ar Or no 4r A A r 'I r II , no n o Of n I A , 4, ll r Or l'r II, 6. 1,' Tri^f^"T-^T T^ n u0 0 4,d- A 0 'I 1I r r r r . , 9,, r Or r Oe ^r r r Ar '1, A, A,

NTS it Of 1), 4, Or 4, q , no OF fl, Un Ar '► r • o (I, A r Or 11 , '► r II I 14 U, A, d, Of Or 41, u, Mlr ^hr II, nr 9r 0,0f 9@ 4, 0, 4, A, A, 0 OI 00 AI 4, If 0 0 ..

:TG

4, oI Ar o, 4, 0, 11, 0, Or 0, 0, 4r A r, 1, A, 4r Gr 0, A, of A, ;, A Ar h ,

t ISr

/T[V • ,9SE^0^,

t If NI)

ut Is

pV pooit QUALIV

TABLE 21.- CONTINUED.

af1/^•^

MROrII • Jr

OY1 • 0.0 ►

Ili

so!

• •.Or 0.0. 0.0,

l0v

tIC l l • t r ,...,..

CLt W 0.00 "° ---

Tut' • 0.0 00.0, 0.0 0.-

" ", .. .•"0:o , 0.0'0 0.00 ^., .. .

pU2 • 0.0 r _ .....

DL2 • 0.00

RC rt— ..-.e .. . i_ .. .

RE 12 • 0.0 0 0 .00 0.00 0.0, O.Or 0.0, O.O, 0.0. —

SE VU ....

CORFONENI NETWORK N0. I

F1LE •PF3n101GN I p ATTACNEO AS fAP115

ENTER RDGNA. IUA• 3010)ttrtt'r Mt*O DtON[IRT FILE FOR USE WTI" " T An

CTINE a 01121/18 P1.56,5OIINIT IS REWUUND AND RETURNFUEMIT ROONA. OAIA STORED IN LOCO t INRt1UGM 3of+4.i017 15 REWOUND iNn RETNRNFp40. " 14' 'ONELS • 11NO. (If 12 PANELS n ISWAPPING OP110h n

b

74

ORIGINAL PAGE ISOF POOR QUALITY

TABLE 21.- CONTINUED.

.........

r01 1, Poll. CONE" p ,Ilhra . rss

TOTAL Nu. •AN[Lsjr,.IFTOT • X-c PLAN*

1.143]000sMCr•, I.ouoonul► ^4 ►r . l.Y^in^lnnWarr n 0.0040000 TNlr a y.g0001100

pwEr n I.Iu,9011nu/^k1 n O.I,rb0047^1

75

iolliGtNAL PAGV

t)f POOR QUALITY

TABLE 21.- CONTINUED.k

^D^!•1

NI#CI • Ir

Nl^tl' • ISr4

4

Niscu • 1 ►

. y^...• *r*r it 0 , 0, 00 0*01to, OY"OT'"T'11 ', 0'0 of no 00 Or 0, 0. V,''Vl" r , no V, d,Or 00 0, 0, O f Of O f 00 0# O f 0 0 0 0 0 0 V,

NT5 n Or Or at 00 at 0. A, 0, 0, 0, At V, O f 0, o f 0, no 0, 0, J, 0, of O f d, dr O,r 00 0 1 , V. V, 4o ',, d. 'i, d,Or of 0 . O. 0. O f n i o f o fo, o. o f 'O. o: ... #

a t Of 00 bF 00 ?'f '0, IR, I # O, Oe O f 0o '0..• 0•. : . .•t^.-r.J q, n.Of Of 0, at 0 1 0, o f OF I t V. no 0. 0, 0r 0,

N16 • Is.

joy cr • .1Sf.o?,

of No

r

a

40RIGINAL PAGC ISOF POOR QUALITY

TABLE 21.- CONTINUED.

/0a1aK

14L 010 11 1 0. — -'- »

"*OFII • 01

Cul • ?.0.

CtI n 0.0,

/ul 1 11.00 0.0. 0.0,

TL / 000 0.0. 0.00

mu1 • 0.0, -. -

4L1 • 0.0,

NC11 • at

RE I1 • 0.0, 0.0 0 0.11, 0.0, 0.0, 0.q, O.n. 0.0. . ^•»•

NLO/1P • 2,

411OP/2 • 1.

tut • 0.0, __^`•""

CL2 • 0.0.

►U? . 0.0, 0.00 0.00

IL2 . 0.0 0 0.0 0 0.0.

nut 0.00

nL2 0.00

4Cf2 . 2,

oil T2 • 0.00 0.0, 0.0, n.11, 0. 4 , kl o. n,J, 0.0,

$clip

CohP nNt 4l Nt t.oRK Yu. 2 M

fILE •P{S11/YG"t ^71^f.N{n #S liPF1?

/Nl[P 4oCMA. h ,. &• 5417o111Lf n Il{Cf046 1 1I,&P tt waKC r.rQ-L1Mr r llt -°°-

rllMf• . ON011711 21,4!.01gNll is Ot ooji.n .,,n NF t+1 a iinE•lt POGPA. oil SfnPfn t o 1nr;I I fl'; lll, 4 017.1IINI7 15 y f . un4n ANN, u F tc N, F'1

40. Oi 11 PA NELS 8 1440, of 12 PA%FLS • 1yAPPINr ( 1 P flum • 11

77

ORIGINAL PAS" IS

OF pooR QUALM

TABLE 21.- CONTINUED.

^[IMrnwc«[ r

tDUL N0. CUIINCk ^OIIItA ^ 2AN

[0[•1 NO. /ANrL1. 1MU.1 y4nvw[ . r- e PLANROM: 1:

143?00n^R f Oranana tNt► • L Yef01DnMMCF ^ 0.000009a y1+ki • n.0001iA0A

3lyrul^^ltr a1.,4a1^N1[rNt1^QOd [ Yr1 fN U O +̂ nI^ lNip1

1 0 It

t 0 iM

fwFr • 1.^09001^u 4.000101,if —►

440[F f 4tSi1

78

ORIGINAL ^^^^ ^ ►.OF POOR QUALITY

TABLE 21.- CONTINUED.

K $DAVAO

tQ^AMC ^ !0101 ►

}t NU

ItLE ►R)rtin1+6I y t,c to AS ► APtla4A,! ttLt C"CAMN 7t"t ^07l^7/t Z1.17.4411 0411 16 410OU40 ANn ottunwra

a

79

ORIGINAL. PACE 19OF POOR QUALITY

TABLE 21.- CONTINUED.

104161

W- • W te ►VIM n of

►1im • of

+relit _•,ep

MtMCU • e ►

fM► • •• ! ► e ► ar Os O s OF Or Ito to o nr T'r°^ 9s 0 0 0s -isnr at OF atOr 0 ► Os Or O r OF 00 Its Us 110 no O F Os V, r r nrof n o 1; Ur

NTe n Or Os as 00 at Ur OF Us Us Jr o f O F U s U; O. Ur 0, Its U, U. d, a# Of A : U + 'rt pr " ^; '10 Us*Is Us ,rr *r 9s0 ► o f Or Or o f of no Os Ur At At do n o Os ..

N ► 0 • le t 10, ns Or 0s O F A. Us Or 0 'l 0, -7, O r 0s Or Or OF OF as of 0 0 Or sof of Or o f Or Or Ar o f A ► Ar A. 11 0 q r OF Or f► —^rr•wr rrs qs

VG n IS.

s ►tY n .1SC ► 07^

it ND

Y

z

80

ORIGINAL MEOF POOR QUALIFY

TABLE 21.- CONTINUED.

1011144

w1,0'tl • to

+100M11 • 00

LUI n f,^r

fl I • 4,Or

M n O.Jr 0.00 0400

TO • 0,0, 0,0, 0,00

nul • 11,I

nLl • e. rr

,ac 11 • z,

^!!1 0 e.•, es0, 4 4 0 , 4 , 0 , A:Os M 44, 401 Asns

4L0/1t • 2r

NOW? Ltut • 0, 0,

rLt • 0 .0,

ru? . 11.00 0.0, 4.01

rLt n 0,0 0 0.0, 11.0,

pUl • 0.00

nL;1 •. 000,

4M n 40

"t 12 • 0,0, 0 000 11 . 0 0 40, 11.110 0.110 4.U. 1100

^twn

rA101m(1R« a q . I

NU. 1 C^SMkO YONICY I 1 o ws n lS1Vu. nF enkfeC0 0111118 ncSCnlMlaK r .%eii Sm-m 4 i ni11* 1.1 , !or s 51

61

81

82

PAGE ISOF POOR QUALI'T'Y,OF '^'

TABLE 21.- CONCLUDED.

r^

ti,

rAMk6

TUTAL NU. cnNNC p POINTS t 1104

TGIAL NO. PANtLS V00SYNM(TRY s K•[ PLANK

SITYPO

N G IIL A RITY ST+"t1,ANTiY SUR ► •C[NkTwnRN fNfT tlMnc.k INISO) nMnfN rnP•0

3 0 1'•

T NPT LUST FLAPSEII CPS+ IINf .?Is

INIT cost

tLApsrn rP • I TI O F ,not

ORIGINAL RAGE. 19OF POOR QUALITY

TABLE 22.- DAY FILE FOR VORTEX ROLtUP PROGRAM WITH APC

4 KARL a. 1.J1 2060;( "0060ii F #100i1 16, 70;00 -- --^

8 -0. 0101414 " All o 1110 . -40409 Coll 10 P, 8 M fttW98 MON0IAM y ,--^-

MMvM»si0-i+•1^-ii0^1nM AA}OIN , . ,« _ _ ._ _.11.01.S6.ARl. 11 AMA! SCORE 1.4.4 414-1 1-01"3/71

' 6ml. •Cn1►1rt.fOMf7Rr7Dti'flt. /.R.E. M 11L4+--^fe►•°7e-fflit 'Ott121 416. 30 00000,016 J01. -ACCOUNIPFAIPOS03240.

21.56.36 ON0004117 JOB. *CONNINT•

•JM. Mi?Mt^►r.OyM»YF1t.e.NmRO. ._.<..^ . ^ ..._.^....21.50.31 00;00.091! ARC. PF2S4 . CYCLE 1 A T TAC049 FROM 311181 ► YIt04

dOf• •^/7ACMr19EAlLTirB11TANlL11RA#Y. - ---

21.50.31 00000,007 ARC. 02S4 . CYCLE 212 ATTACNtU fN0 1A s"osv1lko

41.56,34 00000.101 ABC. FFtS4 CYCLE 241 ATTACN10 $000 sgRSY! ►lM

'701. •AT'► 11t1YrF'.CtiMR'IwrI0414A1YD[mR1.1A ►irRllvena. ,^•>.-21•S6.14 000000906 ARC. FF2S4 . CYCLE 1 ATTACNEO FROM !NNSVSTtO

ll LOO • -LI/[O► .CTmFPl F TO G' M19IER[ 0 19 A LIRRAR7. -r- - --

21.S6 . 4 1 00000.121 Use. FORTRAN LIRRANY 414 0301206

21.51.42 00000.160 Use. .olA rR 19CO 1101 "WECUflON TIME

Zt:l0.4!"60049.161 Joe. •4Tf0H1iSCP[tllr'SrPMOi)' jR1111[SO ► . I'21.50.43 00000.16! ARC. PF2414 . CYCLE 1 ATTACMFO FROM skesYslt"

?►:e6:at*114H.I 6S JOR. -LTRRART.N9MtllrFr6.SnFLI1.

21.56,41 00000.166 JOB. .SFINAMw(C ►► AIR1)21 :llr-01- 00'007; 771j` JT10. ' .ROOwTTT"WT7gt7 wr

21.56.4! 00000.IA1 ARC. RCIOII- RFCOVFRI4G SN a CAPAI111

X1.S6.li 00044.649 ARC. 401411- m/CnY[P[D SR a cAP41011

21.56.51 00000.640 ARC. MPS?O . vsh DAMN OF SET CAPAINI AOUNIEU

?1.36.4yr 00000.194 JOB. .RAP .OFr.

21.56.51 4 0000.649 Lnq. .POIGEN.W1N6 GEUNtTNY

ART. 701170' : n4q ,1010110 ^U:C116'

21.S6.SS 04 002.312 ARC. Lg601 - EYFCUTION IhtT1Af[O USAA0

71.50.!! 00002.372 Ulm. FORTOAN 1 TRRAm9 01 6 051121?621.56.56

00002.646 ARC. J4254 . vaCUOUs FILE 3F.UIFIED • IANEt

21.51.56 '00002.6950C. Ory[7 - VSN 001779 Of SET CAP4101 NOURItO -

21.S4,67 00002.74 ARC. JMil4 . 114COWIS FILE S PECIFIED . PUAGENE

-"FTa6 `!Ir 00061.717 LPE. P-11 ."}44;740 :TATAL4E'- 1761?I.Sh.S7 00002.724 ARC. PF060 . CYCLE I CA TA OGEO 114 SNaCAPAIRI

21.56.17 0*002.7of 4!.R, STOP 777

21.56.51 00004.741 144. .S67 Co SfCnNO5 EYECIITInM TIME

?t.56.l7 90042.7111 LOO. •POIGCN.PECTANGULAA• MAILING EOOF MARE 4 ► U•! M►

21.ST.01 00004.410 ARC. LDsIv Fl 10[UUyNtn TO LnAn - 001"160 OU.Cnb

21:9 11 .e7-e699 a ; Vfi2 ARC. LRall's ERL'YT7Tmr IMMITE'D gS.frR?I.51.01 00004.412 Us". rIIMTPAN LIRNANv 410 41111176?1.57,0t 00004.551 ►RC. MP7?7 v 4414 DnlTifi Dr SET CAPAIRI •OUNIEO

?I.b7.01 00004.572 ARC. J+2S" V4CIU1103 FIL ► SPECIFIED 11UNrE"t

?I 51J.61 00004;,572 ARC. PF646 OFMACRM - CATALOG - TAME! a PfiIIIJI P,21.57,02 00004.579 ANC. MOrJ•o . CYCLE I CATALUCttl 0-1 DNeCAPAIMI

21 .9 p . 0 , 01100, "2 IMP. Sf1y► 777 __ -

21.57.oi 00004.542 414. .111 rP 9fCM408 EYECU11 11 ti TI" ►

21.37. 4 2 00094.591 Lnq. -011I4AR.LE VnPYEY NULL u e FIll

21.S1.05 04006. ► 2h ARC. LDo14 . FI,S w f-i' 1 1"tO It% LO AD - 4uleM1 F 111J.000

21.31.05 00006.626 ARC. 01901 - EYfr hYtll4 INIYTATtn 08.00

?I.S7.05 UOV09.62P DAR. FURTMA14 LIRN. ry 414 05111!7"

71.5*F;bT v00s4•.&" W. Pfeee . Pr1tACRn ATTACH - TAPE t-

P1.57.06 0004 6.640 ARC. Hf2'14 . rYL1E 1 ATTAC14EU F ROM 541LAPAINI

21.51.06 09096.6S3 ARC. 1.00127 . Y10+ 11n1T7N nr It? CAPAINt -1111001 ► 1•

?1.57. 4. 00049.21? ARC. J41014 - VAC 4 1 11 1S FILE SMfCTfI ► n - IAVIi

83

ORIGINAL PAGE ISOF POOR QUALITY

TABLE 22.- CONTINUED.

t1:110.4 "4109.140 ARC. RPM . VIN DOIIIP OF Ott CAPAIPI Mntmltb -

21.51.49 06049.25s ARC. JN23A . VAC1101IS FILE SPECIFILO PUMGtNE r

to . S17C. - '466l2L0C "s"?IPri11x7.49 06049.263 ARC. PF060 . CYCLE 1 CATALOGED ON SNOCAPAINI

^.-117;l11`000e9:213 USR.42^A2 CP 0

.

^TIt%? ,So **049.173 USR. ECONDS EXECUTION TIME

j3il1:le yH*9;2/3 LOD. -PfW1"O,TM,*21.111.110 00049,260 400. .p! iOSl.TAI[2,STRARtIRN,IR4CS0. _° _

21.111.94 *6049.947 USR. .AOi CP SECONDS COMPILATION TIME

jl;L";?0 ee04*.407 LOD, -RE41NT14 GO.

at01, SS 000110,002 Joe. -SETNAMEIfAORRPG)'Tr

y► s feese.eet JOB. •Mou"IfYIN6001 MI

,^1rol m 06*00.023 ARC. RP510 . V 0M 00110 A of 9FT,FASORP6 MOUNTtu -_

"-"^T^Yt;71-vf090;02T1"701T', _ ;ZT 21.02 ?1 060

T50.032 ARC. PF254: CVCLE '^ A TTACHED FMOP SNRFADOMPG

-1tat;3't AtHSe.032 ion. •AT7ACn^LiRt.3[rPRiJrt.t^f n►EP. -- --".22.02.2'1 OOOSp.03• ARC. Pi154 CYCLE S/ATTACNFD FPUM SN4FAdMMPG

-7t.et';tt 00:0.0367 JDO. -ATTACNPIIIIZ•.TFCWBRP PREP. "

22.02.21 000;0.0 4 1 ARC. PF154 . CYCLE T ATTACHFO FROP SNRFAbMMPG_

• TTTiVMO . t I I L5m#..

t2.02.11 000110.0 46 ARC. Pf254 CYCLE s ATTACMFO TROP S W ASOMPG

72;02;21 00390.007 LOO; .LTOtOt,U►frATL CT111 R ITN IGO.CREAYI NG t 159,21.01.12 00090.171 USR.

FRF17^N-LVSNA0n110A nF SET FASRRPGVMOUNTEDzlt.n.tt 00090.101 ARC.12.02.24 00050.617 USR. STOP^ ^^. _.. t xEfOT TTN TTTE , - .._._ ,

'12 24 00050.617 LOD. .RFOTNO,L(;O.

2t.Ot.20 eeeS*,631 LnO. -FTN,CDMPILC MAIN PROGRAM

?2.02.26 000110,957 USR. .112 CO SfCONO3 COMPIIATION II.E M

21;01;'1* 00090.9118LSD, .Rrwl4n,Lr..O.12.02,26 00050,972 in". •SFTNArEICAMAIRI)

7z. op. R1f"eP99er9t? JRR. •NOtIKttIrSRPO1FIT71T7202, 2e 00050.975 ARC. MP1034. VSN Onl7TP OF SET CAPAIMI •UUNItL

WOt.te 6**116.910 LDD. .CnPYL.A,LOO,M•

12,02.2 q 000 ,11.004 ARC. RP7?I . VSN nolloA OF SET WANRP(o MnUNTED

?2.01.19 00051.007 USR. UI0`16 . NPDATf.O PAMTITTON . FEE

22.02,29 00051.022 USR, UTOSS • CnPTL COMPLETF

LOD: .RtMt"ftl, 1.22.01,30 000SI.o37 in". •LIMRAR7,LIH4,LIRd.LIM3.E.

22.02.30 0005 1.037 LOD. PfT1)0M,TA•fj.

),2.0230 000151.041 ARC, RP727 . VSN OOIIOA OF SFT FASbRPU MOUNTED

22.Ot.,3Q 00051.056 ARC, PP177 - V54 U1110A OF of FA314RPG MOUNIEU

21.02.31 00051.013 LOO. -RFIUNV,TAPf2.

7t;Otyt-seeSt76" , M. JM2?t .-ttLtttllTSTW 3PFCIrT[A 14rC2 '?2.02.3 1 OOOS1.095 LOD. •RCIIIMN.fSPl1.

?2.Ot.1f *005 1.116 LOD. .REIUNN.TARea.

?2.02.33 000111.118 LnD, .9.Re o? ' 00053,027 ARC, Lnoo . APSOLUTk FILE MRiTTfN OS.CUD

?2,02.50 00093.027 ARC, LD6111 - FLS 011 , 11RFD TO LOAD - OU11a12 US.nVGA

2r:et^ST eOSS#;eSI USR, ►ORTRAU CITRWIWT 4ts 0111 U 70 ^-^

22.02,52 0005,5,080 ARC. 44234 . VACt1005 FILE SPECIhILn . LAPEIS

2?.at,52 00055,002 ARC, PF646 . PPMACPU . AITAC M . TAPEIS . Pf1070IG4

72.02,51 u00S3,009 ARC, vfd5m - C7CLL 1 ATTACHED hRn° SNSLAPAIMT

7?,0?.5! 000`11.093 ARC. MR721 . vSN nnlT7M nF 1fv CAPAIMI mOVmTtU

0005,5,137 ARC. PFu4n Vf.ACall • A/1AC H . T A PIJS • PFS1110U4

7t0t, 619- 000`13.1 4 4 ARC. PrtS• C1'CLT 1 ATTACHED FRO• SNACAPAIRI

72.02.51 0905S. lam ARC, QN7?1 VSb 1 1 0117V ' if SET CAVAIM; 4nUN1Eo

22.0?,54 04041.164 ARC. J-x34 V&C11n11S 111.E SPECIFILP . 140!16

?2,O?,114 00053.171 Aoc. Pipao - 1'F 11 4CRn ATTAC`" - I4141" - PfA070IOG

Y

84

xi.0 '" 46W.170 ARC.p2.02.114 00043.102 ARC.

too"?3.01 2o 001102.66* USR.711244.27 4#02.64; ARC.75.03,27 00402.702 ARC.ps.95.21 ARC.21.03.27 00402.102 ARC.

. . ARC.;1.03,21 00402.702 ARC._I" I" t1' 00002.103 ARC.21.63.37 00402.703 ARC.25.07,21 00402.70j ARC.;3.01,27 00402.701 ARC..

OT;27-4RR0T:70S ARC.25.05,21 00402.tea ARC.;3. 00.21 OeRst.70e ARC.21. 0 3.27 00402.704, ARC.23.0i.tr 00402.1ea ARC.;3.03.2Y 00402.704 ARC.

7rT.v3 rr,*"v9. 11 ARC.21,03.27 00 ,142.105 AMC.

ORICINAL PACE

OF POOR QUALITY

TABLE 22.- CONCLUDED.

P00 46 . CVELE i ATTACNEO MRUM 4NRCAMa1N1 —^- ° —°-wP12T . VLN 0001R OF SET CAP A TRI 40uNllU ...,..-110► .,.... .._. _.-..,34 14.611 Cob 040 % IvECUT10N flNt

10"110 . '19910110 Af1TVf RILES N — —"'--"— kR"771 . OPENICLOSE CALLS (4R s

0011! . Oe7a TRaNO► tR CALLS a2,sRR —OrT73 . CfINTOWP0011104ING CALLS 014*Wtr--'. WIN 'RiT7t"TRRITSrMCALLS ",In—

7

ROM . No CONINOL/0031110%I NG F ALLS s71ROM . 011EIIE "R "AM CALLS 20,90144T77 - R ►CALL CALLS 20,564SCN 19 166.764 9-3LC M 24.474 ANS

1014% 1!6.114 4"sQSER 374.092 SECJO H 402.706 SECOtt! a9 R I5.167 ew -- — -- --^+A AS 4 01ti 4w 4A AL 4 0111 . 4AAN001 W re

6.Mr"'1011191IT It ACCnUNTTNG MO TTS • tR7L'Tf' °— 1SCOSO 0aoe31 SC/LC 3wAIS

7

j

85

ORIGINAL PAGE 15OF POOq QUALITY

(a' coordinates for cross section(ref. 1) .

Figure l.- Mangler-Smith Vortex h,*,lup Analysis.

86

Y

5

ORIG,#NAL PAG ISOF POOR QUALITY

C

(b) Approximation sheet

(ref. 1) .

Figure 1.- Continued.

1

I ^

87

°WWt4A^ Katiof POD

Z" - PLANE z•

(c) Transform of figure 1(h).

Figure 1.- Concluded.

88

DINDEPENDENT PROGRAM

CDISC FILE

Figure 2.— POTFAN system.

89

90

sORIGINAL PAGE 1$

OF pooR QUALITY

.si

(0, 0) ^SL(v)V y (STARBOARD), V

i

VL(s)

VU(s)L. E. ROLL UP

oA\ o -\rl(

^n o(3.4874, 0) (3.4874, 1)

SU(v)

X, SFREE STREAM

DIRECTION

STRAIGHT T.E. WAKE LINES

Figure 3.- Singularity panels with flow separation on all sides. #I

x

ORIGINAL (PAGE 13OF POOR QUALITY

z

CANARD WING

L.E. SWEEP ANGLE 51.7° 50°ROOT CHORD 17.01 20,8TIP CHORD 3.50 6.77AREA 28111.73 1 1032.2

DIMESNIONS IN cm DISTANCE OF AEP,ODXNAMIC CENTER

FROM NOSE - 50.14

Figure 4.- Close-coupled canard wing-model of reference 8.

91

A

SL(v)

8

x, v

011IGINAL PAM- 19OF POOR QUALITY

Y S

. + 1

COORDS CANARD 11(x, Y)

A (30.04, 3.81)6 (47.65, 3,81)C (50.65, 17.25)D (47.06, 17.25)

WING

(47.65, 3.81)(77.45, 3.$1)(91.81, 25.40)(85.04, 25.40)

Figure S.- Planform boundary curves in POTGEM..

92

a

z/A

ORIGINAL PAGE tOF POOR QUALITY

w Figure 6.- Vortex rollup for delta wing at 200 angle of attack.

93

Y-mad

x LINE FROM APEX GOES ALONGVORTEX CORE

z

(AIGINAL, PAGE ISOF POOR QUALITY

TOP VIEW

SIDE VIEW

FRONT VIEW

z

L*y ROSSFLOW PLANE)

Figure 7.- Different views of trajectories.

94

Qec.. x r7aa

POTFAN WINGGEOMETRY DATA

POTGEM

POTGEM FORWAKE — TABLE 20

4

ORIGINAL PAGE IqOF POOR QUALITY

JOB CONTROLb. CARDS — TABLE 22

A

POT WAKDATA — TABLE 5

7/8/9CARD

SI,PBROUTINEINPUT —

TABLE 19

LIBRARY (1.184, NEW-4000D7/8/9 OLDLIS WBO 'I REPLACE i• LGO)

OVERLAY "FEE,ik t n 0PANDEDM , ' 4MENT LIST)

SUBROUTINEINPUT DATA —

' 'ABLE 21

Figure 8.- Program structure for APC with POTGEM,POTWAK.

95