Implicit high-order geometrically conservative scheme for the solution of flow problems on moving unstructured grids

This paper presents a finite volume solver for the computation of three-dimensional unsteady flows of inviscid compressible perfect gases on moving unstructured meshes. This solver, based on a cell-centered approach for arbitrary polyhedral cells, provides unconditional second-order space and time truncation error. A new way of satisfying the Discrete Geometric Conservation Law (DGCL) adapted to this scheme is proposed. Preliminary results are presented.