EFFICIENT ENTROPY STABLE GAUSS COLLOCATION METHODS
EFFICIENT ENTROPY STABLE GAUSS COLLOCATION METHODS
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DOI：
10.1137/18m1209234
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发表时间：
2019-01-01
影响因子：
3.1
通讯作者：
Carpenter, Mark H.
中科院分区：
文献类型：
--
作者：
Chan, Jesse;Fernandez, David C. Del Rey;Carpenter, Mark H.
在四边形和六面体单元上构造高阶熵稳定配置格式依赖于Gauss-Legendre-Lobatto配置点及其与部分求和（SBP）有限差分算子的等价性。在这项工作中，我们展示了如何有效地推广建设半离散熵稳定计划张量积元素高斯点和广义SBP算子。数值实验表明，高斯点的使用显着提高精度的弯曲网格。
The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and their equivalence with summation-by-parts (SBP) finite difference operators. In this work, we show how to efficiently generalize the construction of semidiscretely entropy stable schemes on tensor product elements to Gauss points and generalized SBP operators. Numerical experiments suggest that the use of Gauss points significantly improves accuracy on curved meshes.