hw6

13
1 Problem 1) Input decks and final residuals: M=0.01 01 9000 4 010 1 / nprt npc imthd iresi local 07.000 0.0100 +0.000 / cfl fsmach alpha 25 105 65 1 / itl itu ile igtyp 3 -1.0 2.0 / limit psi order 0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2) -1 -0.5 0 0.5 1 1.5 2 2.5 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Cp M=0.01 M=0.05 M=0.2

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Page 1: hw6

1

Problem 1)

Input decks and final residuals:

M=0.01

01 9000 4 010 1 / nprt npc imthd iresi local

07.000 0.0100 +0.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

-1

-0.5

0

0.5

1

1.5

2

2.5

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Cp

M=0.01 M=0.05 M=0.2

Page 2: hw6

2

mach no. alpha cfl ni nj

0.01 0 7 129 31

limit psi order

3 -1 2

1 printouts every 9000 cycles

imthd = 4 iresi = 10 local = 1

cfl = 7 --- dtmin = 1.13E-02

ncyc rhomax rhorms erms svrms cl cd nsup

9000 -2.38E-07 -4.33E+00 -4.40E+00 -5.38E+00 3.29E-03 4.82E-02 0

M=0.05

01 6000 4 010 1 / nprt npc imthd iresi local

07.000 0.0500 +0.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.05 0 7 129 31

limit psi order

3 -1 2

1 printouts every 6000 cycles

imthd = 4 iresi = 10 local = 1

cfl = 7 --- dtmin = 1.11E-02

ncyc rhomax rhorms erms svrms cl cd nsup

6000 -5.36E-07 -4.80E+00 -5.07E+00 -4.86E+00 -4.04E-04 1.68E-02 0

Page 3: hw6

3

M=0.2

01 6000 4 010 1 / nprt npc imthd iresi local

07.000 0.2000 +0.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.2 0 7 129 31

limit psi order

3 -1 2

1 printouts every 6000 cycles

imthd = 4 iresi = 10 local = 1

cfl = 7 --- dtmin = 1.04E-02

ncyc rhomax rhorms erms svrms cl cd nsup

6000 -8.94E-07 -5.28E+00 -5.54E+00 -4.82E+00 1.84E-04 4.23E-03 0

Page 4: hw6

4

Problem 2)

Input decks and final residuals:

Alfa=0

01 9999 4 010 1 / nprt npc imthd iresi local

07.000 0.3000 +0.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.3 0 7 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

0

0.2

0.4

0.6

0.8

1

1.2

1.4

0 2 4 6 8 10 12 14

alfa

Cl

Cli

Page 5: hw6

5

imthd = 4 iresi = 10 local = 1

cfl = 7 --- dtmin = 9.93E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -4.77E-07 -5.60E+00 -5.74E+00 -5.12E+00 8.39E-05 3.25E-03 0

Alfa= 4

01 9999 4 010 1 / nprt npc imthd iresi local

02.000 0.3000 +4.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.3 4 2 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 2 --- dtmin = 2.81E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 1.19E-07 -5.53E+00 -5.57E+00 -5.41E+00 4.55E-01 3.95E-03 0

Alfa=8

01 9999 4 010 1 / nprt npc imthd iresi local

02.000 0.3000 +8.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

Page 6: hw6

6

mach no. alpha cfl ni nj

0.3 8 2 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 2 --- dtmin = 2.79E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -2.38E-07 -5.59E+00 -5.60E+00 -5.41E+00 8.78E-01 1.51E-02 0

Alfa=12

01 9999 4 010 1 / nprt npc imthd iresi local

02.000 0.3000 +12.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.3 12 2 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 2 --- dtmin = 2.77E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -1.01E-06 -5.40E+00 -5.66E+00 -5.37E+00 1.12E+00 3.94E-02 0

Page 7: hw6

7

Problem 3)

FDS-1st order

01 9999 4 010 1 / nprt npc imthd iresi local

07.000 0.8000 +1.250 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 1.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.8 1.25 7 129 31

-1.5

-1

-0.5

0

0.5

1

1.5

2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Cp

FDS-1st order FDS-2nd order FVS-1st order FVS-2nd order FVS-3rd order

Page 8: hw6

8

limit psi order

3 -1 1

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 7 --- dtmin = 8.17E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -2.38E-07 -6.00E+00 -6.15E+00 -5.32E+00 2.27E-01 5.98E-02 130

FDS-2nd order

01 9999 4 010 1 / nprt npc imthd iresi local

02.000 0.8000 +1.250 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.8 1.25 2 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 2 --- dtmin = 2.33E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -3.58E-07 -5.56E+00 -5.62E+00 -5.06E+00 3.30E-01 2.36E-02 212

FVS-1st order

01 9999 2 010 1 / nprt npc imthd iresi local

Page 9: hw6

9

0.9000 0.8000 +1.250 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 1.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.8 1.25 0.9 129 31

limit psi order

3 -1 1

1 printouts every 9999 cycles

imthd = 2 iresi = 10 local = 1

cfl = 0.45 --- dtmin = 5.25E-04

ncyc rhomax rhorms erms svrms cl cd nsup

9990 1.19E-07 -5.91E+00 -5.69E+00 -5.53E+00 1.73E-01 8.88E-02 23

FVS-2nd order

01 9999 2 010 1 / nprt npc imthd iresi local

0.9000 0.8000 +1.250 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.8 1.25 0.9 129 31

Page 10: hw6

10

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 2 iresi = 10 local = 1

cfl = 0.45 --- dtmin = 5.25E-04

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -6.32E-06 -4.14E+00 -4.30E+00 -4.13E+00 3.42E-01 2.42E-02 204

FVS-3rd order

01 9999 4 010 1 / nprt npc imthd iresi local

02.000 0.8000 +1.250 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 3.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

0.8 1.25 2 129 31

limit psi order

3 -1 3

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 2 --- dtmin = 2.33E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -3.58E-07 -5.56E+00 -5.62E+00 -5.06E+00 3.30E-01 2.36E-02 212

Page 11: hw6

11

Problem 4)

Alfa=0

01 9999 4 010 1 / nprt npc imthd iresi local

3.0000 2.0000 +0.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

2 0 3 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 3 --- dtmin = 2.49E-03

-0.02

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0 0.5 1 1.5 2 2.5 3 3.5

Cl-Cli

Cl Cli

Page 12: hw6

12

ncyc rhomax rhorms erms svrms cl cd nsup

9990 -1.31E-03 -2.82E+00 -2.79E+00 -1.52E+00 -1.52E-04 8.94E-02 3761

Alfa=1

01 9999 4 010 1 / nprt npc imthd iresi local

3.0000 2.0000 +1.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

2 1 3 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 3 --- dtmin = 2.47E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 1.88E-03 -2.82E+00 -2.82E+00 -1.53E+00 3.56E-02 9.00E-02 3762

Alfa=2

01 9999 4 010 1 / nprt npc imthd iresi local

3.0000 2.0000 +2.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

Page 13: hw6

13

mach no. alpha cfl ni nj

2 2 3 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 3 --- dtmin = 2.45E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 2.20E-03 -2.71E+00 -2.71E+00 -1.41E+00 7.14E-02 9.20E-02 3760

Alfa=3

01 9999 4 010 1 / nprt npc imthd iresi local

3.0000 2.0000 +3.000 / cfl fsmach alpha

25 105 65 1 / itl itu ile igtyp

3 -1.0 2.0 / limit psi order

0 0 1 0 / ibc(1) ibc(2) jbc(1) jbc(2)

mach no. alpha cfl ni nj

2 3 3 129 31

limit psi order

3 -1 2

1 printouts every 9999 cycles

imthd = 4 iresi = 10 local = 1

cfl = 3 --- dtmin = 2.43E-03

ncyc rhomax rhorms erms svrms cl cd nsup

9990 7.32E-03 -2.50E+00 -2.54E+00 -1.24E+00 1.08E-01 9.54E-02 3758