论文标题
与移动域的工程应用中的单纯时空网格
Simplex space-time meshes in engineering applications with moving domains
论文作者
论文摘要
本文强调了如何在带动域的生产工程应用中使用非结构化时空网格。非结构化的时空元素可以在时空域的底部和顶层连接不同的空间网格，并处理复杂的域运动/旋转，而标准任意的Lagrangian-eulerian技术无法在不重复的情况下解决。我们通过Behr [2008]使用4D单纯时空元素使用时空有限元离散化，该元素被称为五元素，该元素在空间和时间上都具有不同级别的细化水平，从而导致完全非结构化的网格。此外，我们使用稳定技术，稳定参数是根据Pauli和Behr [2017]的工作所示的基于违反度量张量的定义。它的定义是由冯·丹威茨（Von Danwitz）等人在4D中扩展的。 [2019]，允许我们处理时空域中复杂的各向异性单纯形网眼。
This paper highlights how unstructured space-time meshes can be used in production engineering applications with moving domains. Unstructured space-time elements can connect different spatial meshes at the bottom and top level of the space-time domain and deal with complicated domain movements/rotations that the standard arbitrary Lagrangian-Eulerian techniques can not resolve without remeshing. We use a space-time finite element discretization, by means of 4D simplex space-time elements, referred to as pentatopes by Behr [2008], which leads to entirely unstructured grids with varying levels of refinement both in space and in time. Furthermore, we use stabilization techniques, and the stabilization parameter is defined based on the contravariant metric tensor, as shown in the work of Pauli and Behr [2017]. Its definition was extended in 4D by von Danwitz et al. [2019], allowing us to deal with complex anisotropic simplex meshes in the space-time domain.
