Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation

Details Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation

2007-05-02

arxiv.org/abs/0705.0280v1

Mathematics

Numerical Analysis

Scientific paper

10.1016/j.jcp.2007.11.008

The aim of this work is to perform numerical simulations of the propagation of a laser in a plasma. At each time step, one has to solve a Helmholtz equation in a domain which consists in some hundreds of millions of cells. To solve this huge linear system, one uses a iterative Krylov method with a preconditioning by a separable matrix. The corresponding linear system is solved with a block cyclic reduction method. Some enlightments on the parallel implementation are also given. Lastly, numerical results are presented including some features concerning the scalability of the numerical method on a parallel architecture.

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