Entropy Viscosity Method for High-Order Approximations of Conservation Laws
Entropy Viscosity Method for High-Order Approximations of Conservation Laws
复制标题
守恒定律高阶近似的熵粘度法
DOI：
10.1007/978-3-642-15337-2_39
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R. Pasquetti
中科院分区：
文献类型：
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作者：
J. Guermond;R. Pasquetti
提出了守恒定律的稳定技术。它在控制方程中引入了相关熵方程残差的非线性耗散函数，并以一阶粘性项为界。使用高阶方法：谱元素或傅立叶展开，模拟不同的二维测试用例 - 二维伯格斯问题、“KPP 旋转波”和欧拉系统。给出了控制熵粘度的参数调整的详细信息。
A stabilization technique for conservation laws is presented. It introduces in the governing equations a nonlinear dissipation function of the residual of the associated entropy equation and bounded from above by a first order viscous term. Different two-dimensional test cases are simulated – a 2D Burgers problem, the “KPP rotating wave” and the Euler system – using high order methods: spectral elements or Fourier expansions. Details on the tuning of the parameters controlling the entropy viscosity are given.