A finite volume multi-moment method with boundary variation diminishing principle for Euler equation on three-dimensional hybrid unstructured grids

摘要: Abstract In this work, we have developed a novel numerical model for Euler equations on 3D hybrid unstructured grids including tetrahedral, hexahedral, prismatic and pyramidal elements. The integrates the VPM (Volume integrated average Point value based Multi-moment) spatial discretization scheme, limiting projection with BVD (Boundary Variation Diminishing) manipulation Roe Riemann solver grids. Distinguished from conventional finite volume method, both volume-integrated (VIA) point values (PV) at cell vertices are memorized as prognostic variables updated in time simultaneously. VIA is computed by formulation of flux form while PV point-wisely using differential formulation, where used to compute problems. A special technique introduced that effectively suppresses oscillation dissipation. resulting provides remarkably improved accuracy robustness moderate increase algorithmic complexity computational cost, which makes it practical significance real-case applications. results benchmark tests presented demonstrate appealing solution quality present comparison other existing methods.