A unified multigrid solver for the Navier-Stokes equations on mixed element meshes (1997)

Content Provider	CiteSeerX
Author	Mavriplis, D. J. Venkatakrishnan, V.
Abstract	A uni ed multigrid solution technique is presented for solving the Euler and Reynoldsaveraged Navier-Stokes equations on unstructured meshes using mixed elements consisting of triangles and quadrilaterals in two dimensions, and of hexahedra, pyramids, prisms and tetrahedra in three dimensions. While the use of mixed elements is by no means a novel idea, the contribution of the paper lies in the formulation of a complete solution technique which can handle structured grids, block structured grids, and unstructured grids of tetrahedra or mixed elements without any modi cation. This is achieved by discretizing the full Navier-Stokes equations on tetrahedral elements, and the thin layer version of these equations on other types of elements, while using a single edge-based data-structure to construct the discretization over all element types. An agglomeration multigrid algorithm, which naturally handles meshes of any types of elements, is employed to accelerate convergence. An automatic algorithm which reduces the complexity of a given triangular or tetrahedral mesh by merging candidate triangular or tetrahedral elements into quadrilateral or prismatic elements is also described. The gains in computational e ciency a orded by the use of non-simplicial meshes over fully tetrahedral meshes are demonstrated through several examples.
File Format	PDF
Journal	International Journal for Computational Fluid Dynamics
Language	English
Publisher Date	1997-01-01
Access Restriction	Open
Subject Keyword	Unified Multigrid Solver Mixed Element Navier-stokes Equation Mixed Element Mesh Tetrahedral Mesh Tetrahedral Element Automatic Algorithm Complete Solution Technique Element Type Unstructured Mesh Single Edge-based Data-structure Candidate Triangular Structured Grid Modi Cation Thin Layer Version Non-simplicial Mesh Agglomeration Multigrid Algorithm Prismatic Element Novel Idea Full Navier-stokes Equation Unstructured Grid Several Example Uni Ed Multigrid Solution Technique Reynoldsaveraged Navier-stokes Equation Computational Ciency
Content Type	Text
Resource Type	Article