We address here numerical simulation problems for modeling some phenomena arising in plasmas produced in experimental devices for Inertial Confinement Fusion. The model consists of a compressible fluid dynamics system coupled with a paraxial equation for modeling the laser propagation. For the fluid dynamics system, a numerical method of Lagrange–Euler type is used. For the paraxial equation, a time implicit discretization is settled which preserves the laser energy balance; the method is based on a splitting of the propagation term and the diffraction terms according to the propagation spatial variable. We give some features on the 3D implementation of the method in the parallel platform HERA. Results showing the accuracy of the numerical scheme are presented and we give also numerical results related to cases corresponding to realistic simulations, with a mesh containing up to 500 millions of cells.
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Ballereau, P., Casanova, M., Duboc, F. et al. Simulation of the Paraxial Laser Propagation Coupled with Hydrodynamics in 3D Geometry. J Sci Comput 33, 1–24 (2007). https://doi.org/10.1007/s10915-007-9135-y
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DOI: https://doi.org/10.1007/s10915-007-9135-y