Flux-Conservative Hermite Methods for Simulation of Nonlinear Conservation Laws
Flux-Conservative Hermite Methods for Simulation of Nonlinear Conservation Laws
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DOI：
10.1007/s10915-017-0613-6
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发表时间：
2017-03
影响因子：
2.5
通讯作者：
Adeline Kornelus;D. Appelö
中科院分区：
文献类型：
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作者：
Adeline Kornelus;D. Appelö
提出了一类新的求解非线性守恒律的Hermite方法。新方法在保持现有Hermite方法光滑解的高阶空间精度的同时，具有更好的稳定性。增加了熵粘性方法形式的人工粘性来捕捉激波。
A new class of Hermite methods for solving nonlinear conservation laws is presented. While preserving the high order spatial accuracy for smooth solutions in the existing Hermite methods, the new methods come with better stability properties. Artificial viscosity in the form of the entropy viscosity method is added to capture shocks.