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SIMULATION OF LASER PROPAGATION IN A PLASMA WITH A FREQUENCY WAVE EQUATION

By Sylvain Desroziers, Frédéric Nataf and Remi Sentis

Abstract

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

Topics: laser plasma interaction, high performance parallel computing, domain decomposition method, 65N55, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]
Publisher: HAL CCSD
Year: 2007
OAI identifier: oai:HAL:hal-00144243v1
Provided by: Hal-Diderot
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