Abstrakt
We construct several high-order residual-distribution methods for two-dimensional unsteady scalar advection on triangular unstructured meshes. For the first class of methods, we interpolate the solution in the space-time element. We start by calculating the first-order node residuals, then we calculate the high-order cell residual, and modify the first-order residuals to obtain high accuracy. For the second class of methods, we interpolate the solution in space only, and use high-order finite difference approximation for the time derivative. In doing so, we arrive at a multistep residual-distribution scheme. We illustrate the performance of both methods on several standard test problems.
Originalsprog | Engelsk |
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Sider (fra-til) | 679-691 |
Antal sider | 13 |
Tidsskrift | International Journal for Numerical Methods in Fluids |
Vol/bind | 47 |
Udgave nummer | 8-9 |
DOI | |
Status | Udgivet - 20 mar. 2005 |
Udgivet eksternt | Ja |
Begivenhed | 8th ICFD Conference on Numerical Methods for Fluid Dynamics - Oxford, Storbritannien Varighed: 29 mar. 2004 → 1 apr. 2004 Konferencens nummer: 8 |
Programområde
- Programområde 1: Data