Cell-centered quasi-one-dimensional reconstruction scheme on 3D hybrid meshes

Abstract

This paper presents a cell-centered conservative scheme based on a quasi-one-dimensional (1D) reconstruction of variables for the solution of a system of hyperbolic equations on 3D unstructured meshes. Only the case of smooth solutions is considered. Test examples are used to demonstrate that the accuracy and computational costs of the studied scheme are about the same as of the vertexcentered EBR scheme and the preferability of the vertex-centered or cell-centered scheme is determined by the prevalent types of elements in the computational mesh.