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.

翻译：在这项工作中,我们描述了可压缩的Navier-Stokes方程式中的粘度术语的分解,该方程式能够简单而明确地为不连续的Galerkin(DG)分解规定恒温稳定无滑动(非亚异和异热)和反射(对称)墙边界条件。