Radiation Hydrodynamics Code LARED-H for Laser Fusion Simulation

  • Zeng Qinghong
  • Pei Wenbing
  • Cheng Juan
  • Yong Heng
  • Zhai Chuanlei
Conference paper

Abstract

LARED-H is a radiation hydrodynamics code in rz-cylindrical coordinates, developed for numerical simulation of laser inertial confinement fusion (ICF) in Institute of Applied Physics and Computational Mathematics (IAPCM). LARED-H is built on JASMIN, IAPCM’s adaptive structured mesh applications infrastructure. Currently, LARED-H can accomplish the integrated simulation of ignition target. Because structured grid can not handle the complicated geometry and multi-material configuration of ICF, multi-block structured grids are employed in LARED-H. Using multi-block grids, we can deal with complicated geometry and generate initial meshes with good quality. Large deformation of fluid is one of the most difficult issues of numerical simulation of laser fusion. In LARED-H code, the strategy of “Lagrange plus remapping” is used to resolve the extreme distortion of computational meshes. We allow the meshes move with fluid until they get tangled, and then transform the physical variables from the tangled meshes to new meshes. On the new meshes, the material interface is not necessary to maintain as Lagrangian curve and is allowed to cross the cells. Therefore, mixed cells are introduced. To model the mixed cells, interface tracing algorithms of material interface and mixture models are developed. To discrete the three-temperatures energy equations, Kershaw diffusion scheme is used. In our code, Kershaw diffusion scheme is extended from structured grids to multi-block girds according to continuous flux conditions. An ignition target is simulated by LARED-H code and numerical results are demonstrated.

Keywords

Structure Grid Complicated Geometry Inertial Confinement Fusion Laser Fusion Radiation Hydrodynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

I would like to acknowledge LARED-H team in IAPCM, this fruitful work is the result of their efforts. This work was supported by the National Basic Research Program of China under Grant No. 2005CB321702 and the National Natural Science Foundation of China under Grant No. 11001026 and 10901021.

I would also acknowledge professor Gabriel Wittum gratefully for his invitation to me to attend the CiHPC2010 conference.

References

  1. 1.
    Benson D.J.: Volume of fluid interface reconstruction methods for multi-material problems. Appl. Mech. Rev. 55, 151–165 (2002)CrossRefGoogle Scholar
  2. 2.
    Browne, P.L.: Integrated gradients: a derivation of some difference forms for the equation of motion for compressible flow in two-dimensional Lagrangian hydrodynamics, using integration of pressures over surfaces, Technical Report LA-10587-MS, Los Alamos National Laboratory (1986)Google Scholar
  3. 3.
    Caramana, E.J., Burton D.E., Shashkov M.J., Whalen P.P.: The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. J. Comput. Phys. 146, 227–262 (1998)MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    Caramana, E.J., Rousculp C.L., Burton D.E.: A compatible, energy and symmetry preserving Lagrangian hydrodynamics algorithm in three-dimensional Cartesian geometry. J. Comput. Phys. 157, 89–119 (2000)MATHCrossRefGoogle Scholar
  5. 5.
    Dyadechko, V., Shashkov M.: Reconstruction of multi-material interfaces from moment data. J. Comput. Phys. 227, 5361–5384 (2008)MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Fatenejad, M., Moses G.A.: Extension of Kershaw diffusion scheme to hexahedral meshes. J. Comput. Phys. 227, 2187–2194 (2008)MathSciNetMATHCrossRefGoogle Scholar
  7. 7.
    HYPRE: high performance preconditioners library. http://acts.nersc.gov/hypre/main.html.
  8. 8.
    JASMIN: J Adaptive Structured Mesh applications Infrastructure. http://www.iapcm.ac.cn/jasmin
  9. 9.
    Kershaw, D.S.: Differencing of diffusion equation in Lagrangian hydrodynamic codes. J. Comput. Phys. 39, 375–395 (1981)MathSciNetMATHCrossRefGoogle Scholar
  10. 10.
    Krauser, W.J., Hoffman, N.M., et al.: Ignition target design and robustness studies for the National Ignition Facility. Phys. Plasmas. 3, 2084–2093 (1996)CrossRefGoogle Scholar
  11. 11.
    Lindl, J.D., Amendt, P., Berger, R.L, et al.: The physics basis for ignition using indirect-drive targets on the National Ignition Facility. Phys. Plasmas. 11, 339–491 (2004)Google Scholar
  12. 12.
    Maire, P.H., Breil, J.: A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems. Int. J. Numer. Meth. Fluids. 56, 1417–1423 (2008)MathSciNetMATHCrossRefGoogle Scholar
  13. 13.
    Maire, P.H., Breil, J., Galera, S.: A cell-centred arbitrary Lagrangian CEulerian (ALE) method. Int. J. Numer. Meth. Fluids. 56, 1161–1166 (2008)MathSciNetMATHCrossRefGoogle Scholar
  14. 14.
    Moses, G.A., Yuan, J.: Radiation diffusion in DRACO using Kershaw Difference scheme. Technical Report UWFDM-1213, Fusion Technology Institute, University of Wisconsin (2003)Google Scholar
  15. 15.
    Pei, W.B.: The Construction of Simulation Algorithms for Laser Fusion. Commun. Comput. Phys. 2, 255–270 (2007)Google Scholar
  16. 16.
    Shashkov, M.: Closure models for multidimensional cells in arbitrary Lagrangian-Eulerian hydrocodes. Int. J. Numer. Meth. Fluids. 56, 1497–1504 (2008)MathSciNetMATHCrossRefGoogle Scholar
  17. 17.
    Zeng, Q.H., Pei W.B., Cheng, J.: Extension of Kershaw diffusion scheme to multi-block grid. Defense Science and Technical Report GF-A0115352G, Institute of Applied Physics and Computational Mathematics (2009)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Zeng Qinghong
    • 1
  • Pei Wenbing
    • 1
  • Cheng Juan
    • 1
  • Yong Heng
    • 1
  • Zhai Chuanlei
    • 1
  1. 1.Institute of Applied Physics and Computational MathematicsBeijingP. R. China

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