论文标题
在数值方案中使用Dafermos熵率标准
Using the Dafermos Entropy Rate Criterion in Numerical Schemes
论文作者
论文摘要
以下工作涉及基于熵保守和熵耗散通量的凸组合的熵耗散有限体积求解器的构建。我们旨在构建一种半分化方案，该方案在Dafermos的熵标准以及经典意义上的熵耗散方面是熵稳定的。所提出的半分化方案显示出良好的特性，例如$ 2p $订单在平滑区域中的准确性以及冲击周围的非振荡行为。
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 $2p$ order accuracy in smooth regions as well as a non-oscillatory behavior around shocks.
