Entropy Stable Scheme Based on Moving Meshesfor Hyperbolic Conservation Laws

Abstract

Abstract: An entropy stable scheme based on moving meshes is proposed for hyperbolic conservation laws. The method employs equidistribution principle to redistribute mesh points. Numerical solutions on new meshes are updated by using a conservative-interpolation formula. Entropy stable fluxes and third order strong stability-preserving Runge-Kutta time evolution method are employed to obtain numerical solutions at next time level. Several test problems are presented to demonstrate that the method not only improves resolution in discontinuous areas, but also reduces possible spurious oscillations.

Key words: hyperbolic conservation laws, entropy stable scheme, moving mesh method, entropy conservation, numerical diffusion operator

CLC Number:

O354
O241.82

CHENG Xiaohan, NIE Yufeng, CAI Li, FENG Jianhu. Entropy Stable Scheme Based on Moving Meshesfor Hyperbolic Conservation Laws[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(2): 175-182.

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