NON-OSCILLATORY SELECTION (NOS) SCHEME FOR HYPERBOLIC EQUATIONS

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (3): 271-275.

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NON-OSCILLATORY SELECTION (NOS) SCHEME FOR HYPERBOLIC EQUATIONS

YU Heng^1,2, SHUI Hong-shou¹, ZHANG Hui-sheng²

1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P R China;
2. Department Of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P R China

Received:1999-11-29 Revised:2000-06-28 Online:2001-05-25 Published:2001-05-25

Abstract

Abstract: The TVD conditions of finite difference schemes are interpreted on geometrical views for hyperbolic equations,and from it the non-oscillatory conditions are derived for conventional second-order schemes.A mainly third-order non-oscillatory scheme (NOS) is developed.Numerical experiments show high order,non-oscillation,simplicity and symmetric diffusion of the scheme.

Key words: hyperbolic equation, finite-difference, non-oscillatory scheme, symmetric diffusion

CLC Number:

YU Heng, SHUI Hong-shou, ZHANG Hui-sheng. NON-OSCILLATORY SELECTION (NOS) SCHEME FOR HYPERBOLIC EQUATIONS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(3): 271-275.

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NON-OSCILLATORY SELECTION (NOS) SCHEME FOR HYPERBOLIC EQUATIONS

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