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