汤华中

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.

SOME DISCUSSIONS ON ENTROPY STABLE SCHEMES FOR SCALAR HYPERBOLIC CONSERVATION LAWS

Tang Huazhong

School of Mathematical Sciences, Peking University, Beijing 100871, China

Received:2021-04-08Online:2021-11-14Published:2021-11-12







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本文讨论双曲型守恒律方程的熵稳定格式.对于给定的熵对，格式所满足的熵条件中的数值熵通量是不唯一的.Tadmor的充分条件可以唯一地确定标量方程的熵守恒通量，但不能唯一确定方程组的熵守恒通量，却可以给出方程组的空间一阶精度的熵守恒格式.也讨论了在熵守恒通量上添加数值粘性得到的显式熵稳定格式需要满足的条件及常见的时间离散对熵守恒和熵稳定的影响.
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[1]	唐玲艳, 郭嘉, 宋松和. 求解带刚性源项标量双曲型守恒律方程的保有界WCNS格式[J]. 计算数学, 2021, 43(2): 241-252.
[2]	唐玲艳, 郭云瑞, 宋松和. 非结构网格上一类满足局部极值原理的三阶精度有限体积方法[J]. 计算数学, 2017, 39(3): 309-320.
[3]	汤华中. 一个刚性守恒律方程组的全隐式差分方法[J]. 计算数学, 2001, 23(2): 129-138.

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