Loading...
Please wait, while we are loading the content...
Similar Documents
A unified multigrid solver for the navier-stokes equations on mixed element meshes
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Mavriplis, D. J. Venkatakrishnan, V. |
| Copyright Year | 1995 |
| Description | A unified multigrid solution technique is presented for solving the Euler and Reynolds-averaged 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 modification. 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 efficiency afforded by the use of non-simplicial meshes over fully tetrahedral meshes are demonstrated through several examples. |
| File Size | 2710577 |
| Page Count | 30 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19950027079 |
| Archival Resource Key | ark:/13960/t14n44001 |
| Language | English |
| Publisher Date | 1995-07-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Navier-stokes Equation Multigrid Methods Three Dimensional Flow Computational Fluid Dynamics Unstructured Grids Mathematics Data Structures Grid Generation Mathematics Two Dimensional Flow Viscous Flow Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
