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New tvd schemes for linear hyperbolic equations
Ni Hangen, Wang Jiasong, Jin Sheng
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
1999, 16 (1):
25-30.
It is shown that there are partial TVD regions after analyzing Lax Wendroff and Warming Beam schemes from the TVD conditions of hyperbolic equation. Based on which, new second order accurate TVD schemes of three or four grids in space are constructed in order to keep second order accuracy near the extreme points. Finally a comparative study is presented to solve linear hyperbolic equation by the new and old TVD schemes.
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