欧拉方程的一类熵守恒通量函数族
数值分析
2019-09-04 v2 数值分析
摘要
熵守恒数值通量函数可用于构造欧拉与纳维-斯托克斯方程的高阶、熵稳定离散格式。本短讯旨在提出一类新颖的此类熵守恒通量函数。所提通量函数是二次优化问题的解，并容许闭式、计算代价低廉的表达式。我们建立了这些通量函数的性质，包括其连续可微性，而这是高阶离散格式所必需的。
引用
@article{arxiv.1807.03832,
title = {A Family of Entropy-Conservative Flux Functions for the Euler Equations},
author = {Jason Edward Hicken and Jared Crean},
journal= {arXiv preprint arXiv:1807.03832},
year = {2019}
}
备注
Further numerical tests revealed that the flux is not high-order accurate (it is limited to 2nd order) despite the theoretical results. The source of this problem is believed to be related to finite-precision arithmetic, but further study is needed