Entropy stable schemes for initial-boundary-value conservation laws
Entropy stable schemes for initial-boundary-value conservation laws
复制标题
初始边值守恒定律的熵稳定格式
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Siddhartha Mishra
中科院分区：
文献类型：
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作者：
M. Svärd;Siddhartha Mishra
我们考虑守恒律系统的初边值问题，并设计熵稳定的差分格式来近似它们。该计划被证明是熵稳定的一大类系统，配备了一个对称的分裂，来自熵制定。气体动力学欧拉方程的数值例子来说明所提出的方法的鲁棒性能。
We consider initial-boundary-value problems for systems of conservation laws and design entropy stable finite difference schemes to approximate them. The schemes are shown to be entropy stable for a large class of systems that are equipped with a symmetric splitting, derived from the entropy formulation. Numerical examples for the Euler equations of gas dynamics are presented to illustrate the robust performance of the proposed method.