High-order scheme for a nonlinear Maxwell system modelling Kerr effect

JOURNAL OF COMPUTATIONAL PHYSICS

卷:160

Article

de la Bourdonnaye, A

关键词: Maxwell system;    Kerr effect;    quasilinear system;    hyperbolicity;    Godunov solver;    Roe solver;    filamentation;   

DOI  :  10.1006/jcph.2000.6468

来源: Elsevier

【 摘 要 】

This paper is devoted to the derivation of an efficient numerical scheme for the Kerr-Maxwell system. We begin by studying the 1-D Riemann problem. We obtain a result of existence and uniqueness for large data. Then we develop a high-order Roe solver and exhibit solutions in 1-D and 2-D simulations. (C) 2000 Academic Press.

【 授权许可】

Free