Space-Time Meshing for Two-Dimensional Moving Boundary Problems.
Philip J. Zwart, George D. Raithby · 1998
. A new meshing strategy for two-dimensional space-time moving boundary methods is presented. The method breaks the space-time domain into time slabs, and tesselates each sequentially. Within each time slab, the mesh is generated by extruding the lower time plane, moving the boundary, adding and removing vertices near the boundary, and smoothing. Unlike other strategies, topological changes to the mesh are restricted to a thin layer near the boundary, thereby avoiding the need for global remeshing of the domain. Keywords: space-time, time slab, mesh generation, moving boundary 1 Introduction The use of the finite volume method for applications in fluid mechanics and heat transfer is well-established. Its popularity stems from the direct manner in which it translates the underlying conservation principles into a practical numerical technique. Traditionally, the finite volume method has been used only to discretize the spatial domain; a finite difference method is used for time. Conser...