论文标题
关于双曲线问题的填充网格方法的理论基础II：非线性保护法的熵有限的配方
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws
论文作者
论文摘要
我们得出熵保存和熵耗散重叠域的公式，用于以保护形式的非线性双曲线方程系统，例如通过oftset oftsot oftset oftsot oftsot oftsot oftset cormesh方法。熵保存的配方通过非线性惩罚函数在溶液重合时消失的非线性惩罚函数在人工界面边界上施加了双向耦合。惩罚函数以熵保护最初针对有限体积方案引入的通量表示。通过使用线性惩罚，添加了重叠区域中熵耗散和其他耦合。
We derive entropy conserving and entropy dissipative overlapping domain formulations for systems of nonlinear hyperbolic equations in conservation form, such as would be approximated by overset mesh methods. The entropy conserving formulation imposes two-way coupling at the artificial interface boundaries through nonlinear penalty functions that vanish when the solutions coincide. The penalty functions are expressed in terms of entropy conserving fluxes originally introduced for finite volume schemes. Entropy dissipation and additional coupling in the overlap region are added through the use of linear penalties.
