A MULTIDIMENSIONAL CUBIC-INTERPOLATED PSEUDOPARTICLE (CIP) METHOD WITHOUT TIME SPLITTING TECHNIQUE FOR HYPERBOLIC-EQUATIONS

被引:35
作者
YABE, T [1 ]
ISHIKAWA, T [1 ]
KADOTA, Y [1 ]
IKEDA, F [1 ]
机构
[1] JAPAN RES INST, DEPT CAE SYST, NISHI KU, OSAKA 550, JAPAN
关键词
D O I
10.1143/JPSJ.59.2301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new numerical method is proposed for multidimensional linear advection equations. The scheme uses a cubic spatial profile within grids, and is described in an ex-plicit form by assuming that both a physical quantity and its spatial derivative obey the given equation. The method gives a stable and less diffusive result without any flux limiter. Its extension to nonlinear equations with nonadvection term is straightforward. © 1990, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.
引用
收藏
页码:2301 / 2304
页数:4
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