Godunov Type Scheme Satisfying Three Conservation Laws

Abstract

Abstract: In order to apply Godunov type scheme satisfying several conservation laws for one dimensional hyperbolic conservation laws to multi-dimensional hyperbolic conservation laws, this paper designs a Godunov type scheme satisfying three conservation laws for two dimensional linear advection equation. The numerical experiments show that this scheme has good structure preserving property in long time numerical simulations.

Key words: two dimensional linear advection equation, conservation laws, Godunov type scheme

CLC Number:

O 241.82

WANG Zhi- Gang. Godunov Type Scheme Satisfying Three Conservation Laws[J]. Journal of Shanghai Jiaotong University, 2012, 46(10): 1697-1700.

References

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