Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes

A data transfer (remap) between two meshes is an important step of each arbitrary Lagrangian-Eulerian (ALE) simulation. We develop a conservative scheme for remapping-high-order discontinuous Galerkin fields on high-order polytopal meshes with curved faces. This scheme uses a virtual element function to define the remap velocity. We show that the optimal accuracy is achieved when the remap problem is written and is solved as a coupled system of two conservative equations. The properties of the proposed scheme are studied numerically for smooth and discontinuous fields on cubic and prismatic meshes. Published by Elsevier Inc.