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Looking for o(n) navier-stokes solutions on non-structured meshes (Document No: 19940016998)
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Dervieux, Alain Morano, Eric |
| Copyright Year | 1993 |
| Description | Multigrid methods are good candidates for the resolution of the system arising in Numerical Fluid Dynamics. However, the question is to know if those algorithms which are efficient for the Poissan equation on structured meshes will still apply well to the Euler and Navier-Stokes equations on unstructured meshes. The study of elliptic problems leads us to define the conditions where a Full Multigrid strategy has O(N) complexity. The aim of this paper is to build a comparison between the elliptic theory and practical CFD problems. First, as an introduction, we will recall some basic definitions and theorems applied to a model problem. The goal of this section is to point out the different properties that we need to produce an FMG algorithm with O(N) complexity. Then, we will show how we can apply this theory to the fluid dynamics equations such as Euler and Navier-Stokes equations. At last, we present some results which are 2nd-order accurate and some explanations about the behavior of the FMG process. |
| File Size | 842099 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19940016998 |
| Archival Resource Key | ark:/13960/t8z94554j |
| Language | English |
| Publisher Date | 1993-11-01 |
| Access Restriction | Open |
| Subject Keyword | Fluid Mechanics And Heat Transfer Navier-stokes Equation Multigrid Methods Computational Fluid Dynamics Differential Equations Euler Equations of Motion Computational Grids Grid Generation Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
