Parallel Dynamic Mesh Adaptation Within INMOST Platform

Abstract

The work is concerned with parallel dynamic mesh adaptation in INMOST software platform, a toolkit for mathematical modelling. The dynamic mesh adaptation functionality is in big demand in mathematical physics applications governed by approximate numerical solution of partial differential equations. The adaptation of computational mesh is required for two reasons: first, to better resolve the features of physical process by refining the mesh, second, to reduce computational costs by coarsening the mesh in regions away from zones of interest. This requires the mesh to be adapted and balanced along the simulation process based on the numerical solution. In this work the functionality of INMOST is extended to enable refinement of general polyhedral meshes in parallel.