In this paper, a shock capturing for high-order entropy stable discontinuous Galerkin spectral element methods on moving meshes is proposed using Gauss--Lobatto nodes. The shock capturing is achieved via the convex blending of the high-order scheme with a low-order finite volume subcell operator. The free-stream and convergence properties of the hybrid scheme are demonstrated numerically along with the entropy stability and shock capturing capabilities.

翻译：本文提出了一种基于Gauss--Lobatto节点的移动网格上高阶熵稳定间断伽辽金谱元法的激波捕捉方法。该方法通过将高阶格式与低阶有限体积子单元算子进行凸组合来实现激波捕捉。数值实验验证了该混合格式的自由流保持特性、收敛性、熵稳定性以及激波捕捉能力。