Cell-centered Diffusion Schemes for Lagrangian Radiation Hydrodynamics on Nonmatched Polygonal Meshes

摘要

A cell-centered finite volume scheme to solve diffusion equations on nonmatched meshes which result from the hydrodynamics calculation with slide line treatment is presented. The sliding meshes near the interface are handled as arbitrary polygons together with the internal ones and the hanging nodes can be considered naturally as the vertices of the polygon. A robust and accurate interpolation method based on Taylor expansion is proposed to eliminate the node unknowns including the ones at the hanging nodes.