unstructured grids 3d simulations of imploding cylindrical laser targets gififp etsiaupm rafael...
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Unstructured grids
3D simulations of imploding cylindrical laser targets
GIFIFP ETSIA UPM
Rafael RamisUniversidad Politécnica de Madrid
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Hydro code MULTI3D
●Developed from MULTI1D (1986) and MULTI2D (1992)●Modular structure●Hydrodynamics (2007)●Beam deposition (2008)●Heat transport (2009) + applications●AEL hydrodynamics (?)●Radiation (?)●Nuclear Reactions (?)
GIFIFP UPM / ETSIA
R. Ramis, J. Meyer-ter-Vehn, and J. Ramírez, Comp. Phys. Comm. (2009)doi: 10.1016/j.cpc.2008.12.033
R. Ramis, R. Schmaltz, and J. Meyer-ter-Vehn, Comp. Phys. Comm. 49 (1988) 475
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
MULTI3D uses a non-structured grid composed of tetrahedrical cells.The core of the code are the conectivity tables are used to define the computational domain
Table of conectivities cell-to-node
Table of coordinates
Unstructured gridsGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Table of conectivities cell-to-node
Table of coordinates
Unstructured grids
Nodes
Cell
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MULTI3D uses a non-structured grid composed of tetrahedrical cells.The core of the code are the conectivity tables are used to define the computational domain
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Lagrangian hydrodynamics
The lagrangian algorithm uses a staggered grid. Velocities are defined at nodes while pressures, densities
and internal energies are defined at cells. Mass, energy and momentum (linear and angular) are preserved.
External source
From tables from SESAME library or generated by MPQEOS
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Ray tracing
Energy beams (laser or ions) are decomposed into a large number of “beamlets”. Each “beamlet” carries
ni particles with energy e
i. Output values n
i and e
i of at cell exit are computed from input values,
distance x, and cell thermodynamical values k, Z
k, A
k and T
k
Refraction currently not implemented
Ion beam
laser
Ray tracing requires the numbering of interfaces between cells, and the creation of cell-to-interface andcell-to-cell conectivity tables.
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Ion stopping power modelGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Laser absporption model
(The condition log >2 is forced)
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Application to Proton Fast Ignition
hydro+beam packages have been validated by running benchmark problems (currently in progress) and by comparison with other hydro codes (DUED).
M Temporal, R Ramis, J J Honrubia and S Atzeni, Plasma Phys. Control. Fusion 51 (2009) 035010 (10pp)
A precompressed DT sphere (r=60m and =500 g/cm3) is ignited by a composite proton pulse (T
p= 4 Mev, d=500 m, and 1 MeV<e
p<40 MeV)
Pulse #1 : 1 kJ (total) Pulse #2 : 7 kJ (delay=30 ps)
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
Density
Density at Z=52 m
Time = 0
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 6 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 10 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 16 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 20 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 28 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 33 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast IgnitionGIFIFP UPM / ETSIA
Temperature
DensityTime = 36 ps
The effect of a finite number of beams to achieve high compression has been assesed by MULTI3D simulations (only the first pulse has been considered)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Density at Z=52 m
Application to Proton Fast Ignition
M Temporal, R Ramis, J J Honrubia and S Atzeni, Plasma Phys. Control. Fusion 51 (2009) 035010 (10pp)
GIFIFP UPM / ETSIA
● Ignition calculations have been done by using the 2D code DUED that includes all neccesary physics (hydro + heat + radiation + burning + alpha heating).
● Axial symmetry is assumed● Ignition occurs as a result of the
synergetic action of the shocks
generated by proton energy
deposition
Density and temperature contours from DUED
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
The agreement between both codes (MULTI3D and DUED) is
“perfect” for N=∞ and thermal conductivity in DUED is switched out.
Colors (MULTI)Lines (DUED)
Density contours
Compressed mass
GIFIFP UPM / ETSIA
Application to Proton Fast Ignition
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Heat transfer
The heat tranfer algorithm uses a node defined temperatures and energies. Thermal flux is assumed
uniform inside each cell and discontinuous at interfaces. The integral of these discontinuities is
distributed in equal parts between adjacent nodes.
The algorithm is described in:
R. Ramis, J. Meyer-ter-Vehn, and J. Ramírez, Comp. Phys. Comm. (2009), doi: 10.1016/j.cpc.2008.12.033
The coupling with hydrodynamic algoritm (where energies are defined at cells) require interpolation of internal energies at cells to compute conductivities and pressures, and distribution of deposition terms (hydro work and beams) to nodes.
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Linear heat transfer
Initial condition: random temperature
GIFIFP UPM / ETSIA
Time = 0
Isolated body with constant conductivity and heat capacity
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Linear heat transferGIFIFP UPM / ETSIA
Time = 1
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 2
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 3
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 4
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 5
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 6
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 7
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 8
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 9
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = 10
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transferGIFIFP UPM / ETSIA
Time = ∞
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated body with constant conductivity and heat capacity
Linear heat transfer
For small wavenumbers:
You see here the mode n=1(modes with n>1 damp fasterand mode n=0 is not visible)
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Linear heat transfer
To obtain mode n=2 one has to remove mode n=1 from the initial condition and integrate again until t >>1.
GIFIFP UPM / ETSIA
n=1
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Linear heat transfer
To obtain mode n=2 one has to remove mode n=1 from the initial condition and integrate again until t >>1.
n=1 n=2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Linear heat transfer
To obtain mode n=2 one has to remove mode n=1 from the initial condition and integrate again until t >>1.
To obtain mode n=3 one has to remove modes n=1 and n=2, and so on ...
n=1 n=2 n=3
n=4 n=5 n=6
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Time integration by SSI method
Explicit: unstable for large t
The algorithm is described in:
R. Ramis, J. Meyer-ter-Vehn, and J. Ramírez, Comp. Phys. Comm. (2009), doi: 10.1016/j.cpc.2008.12.033
Implicit: stable, requires to solve a system of equations
MIxed: energy error
SSI: energy error coupled in the next time step
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
Isolated walls
T=1 forced here
T=0 initially
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
Non-linear heat transfer
Test case: evolution of a 3D non-linear thermal wave (non dimensional units)
~ T5/2
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Isolated walls
T=1 forced here
HiPER experiment at Vulcan
Short pulse (~500J, 10ps) fired into imploded column of CH plasma
Fluorescent emission from Cu tracer layers / Cu particles in foam monitored by spectroscopy and imaging
Pre-heater beam conditions diagnosed by Ti k-alpha radiography and absorption spectroscopy (foam doped with Cl)
Implosion pulse ~ 80J per beam, 1ns
Sept/Dec 2008 - Hot electron transport in cylinder Experiment
PI's M. Koenig and D. Bataniwith
LULI, RAL, CELIA, U-Milan, U-Oxford, LLNL, UPM, U-Pisa
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
HiPER experiment at Vulcan
4 x 70 J 1 ns 0.35 m
Supergaussian cross sectionwith between 70 and 140 m
200 m diameter200 m lenghtpolymide foam(100 mg/cm3 )
30 m polymide shell
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
CHIC calculations
Equal beam energy
Final conditions ~ 5 g/cc and ~50 to 100eV in 20 to 40m diameter column (dependent upon initial foam density)
20 % lack
Longitudinal 2D simulations
Cross section 2D simulations
Perfect slide
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
HiPER experiment at VulcanGIFIFP UPM / ETSIA
nodes = 15585cells = 80556beamlets = 1152
CPU = 5 hourssteps = 19509
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
HiPER experiment at Vulcan
x
y z
Temperature (0 to 15 MK) Foam geometry + laser deposition zone
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
x
y z
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
MULTI 3D simulations of cylindrical implosion phaseMULTI 3D simulations of cylindrical implosion phase
HiPER experiment at VulcanGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
HiPER experiment at VulcanGIFIFP UPM / ETSIA
Now, consistent longitudinal an cross profiles can be obtained from 3D simulations(Figures for =140 m)
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Grid asymmetriesGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Cubic elements (quadrangles)
preserve RZ symmetry
Numerical asymmtries are inherent to discretization using tetrahedrical elements (triangles)
“crests”
“grooves”
Grid asymmetriesGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Alternating two modes of triangle division preserves XY symmetry, but peaks appear
Grid asymmetriesGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
In 2D geometry one can use two grids simulaneously, and syncronize node quantitiesafter each time step.
As in other lagrangian schemes, four pressures are defined inside a given quadrangle
+ =
Grid asymmetriesGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
In 2D geometry each hexahedron can be divided in five tetrahedra in two different ways:
Ten pressures are defined inside a given hexahedron
Grid asymmetriesGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Each hexahedron divided in 6 tetrahedra Each hexahedron divided in 5+5 tetrahedra
The grid assymetries disappears with this method
OLD ALGORITHM NEW ALGORITHM
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Implosion symmetry
Beam radius:=80 m
Cylinder radius: r=130 m
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Implosion symmetry
Beam radius:=100 m
Cylinder radius: r=130 m
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Implosion symmetry
Beam radius:=120 m
Cylinder radius: r=130 m
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Implosion symmetry
Beam radius:=140 m
Cylinder radius: r=130 m
GIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Implosion symmetry
Beam radius:=180 m
Cylinder radius: r=130 m
Implosion symmetryGIFIFP UPM / ETSIA
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
Large focus produce improve symmetry but reduce implosion intensity
These results are in agreement with 2D studies with MULTI2D and CHIC: R. Ramis, J. Ramírez, and G. Schurtz, Laser and Particle Beams (2008), 26, 113-126
Density from 2 to 14 g/cc and temperature from 30 to 140 eV (for s=140 m)
SummaryGIFIFP UPM / ETSIA
● MULTI3D is now available for laser-matter interaction studies● There is a qualitative agreement with 2D simulations on
imploding cylindrical targets.● Quantitative comparisons have to be carried out.● This requires the use of hexahedrical cells.● Lagrangian limitations (cell distorsion and multivaluated regions)
are similar as the one in 2D● Simulations sugest to use eliptical focal spots
Thanks for your attention!
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
HiPER experiment at VulcanGIFIFP UPM / ETSIA
Implosion shape depends on laser beam diameter. Only when >r a cylindrical column is obtained
This results is in agreement with 2D studies with MULTI2D and CHIC:R. Ramis, J. Ramírez, and G. Schurtz, Laser and Particle Beams (2008), 26, 113-126
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
HiPER experiment at VulcanGIFIFP UPM / ETSIA
Density (Kg/m3) Temperature (K) Pressure (Pa)
Density from 2 to 14 g/ccTemperature from 30 to 140 eV
Final conditions for =140 m
NUMERICAL DEFECTS ARE VISIBLE IN THIS PLOTS: PEAKS AND LOST OF X-Y SYMMETRY
7th Direct Drive and Fast Ignition Workshop, May 3-6, 2009, Prague, Czech Republic
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