Using the Dafermos entropy rate criterion in numerical schemes
Using the Dafermos entropy rate criterion in numerical schemes
复制标题
DOI：
10.1007/s10543-022-00927-x
复制
发表时间：
2022-02
影响因子：
1.5
通讯作者：
S. Klein
中科院分区：
文献类型：
--
作者：
S. Klein
接下来的工作是基于熵守恒流和熵耗散流的凸组合构造一个熵耗散有限体积求解器。我们的目标是构建一个半离散的计划，是熵稳定的Dafermos的熵准则的意义上，以及在经典意义上的熵耗散。所提出的半离散格式显示出良好的性能，如在光滑区域的2porder精度，以及在冲击附近的非振荡行为。
The following work concerns the construction of an entropy dissipative finite volume solver based on the convex combination of an entropy conservative and an entropy dissipative flux. We aim to construct a semidiscrete scheme that is entropy stable in the sense of the entropy criterion of Dafermos as well as in the classical sense entropy dissipative. The proposed semidiscrete scheme shows nice properties like 2porder accuracy in smooth regions as well as a non-oscillatory behavior around shocks.