Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a semi-discrete entropy inequality under appropriate boundary conditions. In this work, we describe a discretization of viscous terms in the compressible Navier-Stokes equations which enables a simple and explicit imposition of entropy stable no-slip (adiabatic and isothermal) and reflective (symmetry) wall boundary conditions for discontinuous Galerkin (DG) discretizations. Numerical results confirm the robustness and accuracy of the proposed approaches.

中文翻译：

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可压缩Navier-Stokes方程的熵稳定模态不连续Galerkin方案和壁边界条件

熵稳定方案可确保物理上有意义的数值解在适当的边界条件下也满足半离散的熵不等式。在这项工作中，我们描述了可压缩的Navier-Stokes方程中的粘性项的离散化，它使不连续Galerkin（DG）的熵稳定防滑（绝热和等温）和反射（对称）壁边界条件变得简单明了。离散化。数值结果证实了所提出方法的鲁棒性和准确性。