• 论文 •

双曲型守恒律方程的熵稳定格式的一些讨论

1. 北京大学数学科学学院, 北京 100871
• 收稿日期:2021-04-08 出版日期:2021-11-14 发布日期:2021-11-12
• 基金资助:
本工作部分得到了国家重点研发计划资助（2020YFA0712000），国家自然科学基金（12171227），和中德合作研究小组项目（GZ1465）的资助.

Tang Huazhong. SOME DISCUSSIONS ON ENTROPY STABLE SCHEMES FOR SCALAR HYPERBOLIC CONSERVATION LAWS[J]. Mathematica Numerica Sinica, 2021, 43(4): 413-425.

SOME DISCUSSIONS ON ENTROPY STABLE SCHEMES FOR SCALAR HYPERBOLIC CONSERVATION LAWS

Tang Huazhong

1. School of Mathematical Sciences, Peking University, Beijing 100871, China
• Received:2021-04-08 Online:2021-11-14 Published:2021-11-12

This paper studies the entropy stable schemes for hyperbolic conservation laws. The numerical entropy flux is not unique in the entropy condition for the given entropy pair. According to Tadmor's sufficient condition, the entropy conservative flux for the scalar equation can be uniquely determined, but the entropy conservative flux for the system can not be uniquely given. For the system, the entropy conservative schemes of spatial first order accuracy can be given. The sufficient condition for numerical viscosity and the ratio of time and space stepsizes of the explicit entropy stable schemes for the scalar equation and the influence of some time discretizations on the entropy conservation and entropy stability are also discussed.

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