Unconditionally-stable explicit algorithms for nonlinear fluid dynamics problems
Abstract
This paper describes novel explicit algorithms that are unconditionally stable. The algorithms are applied to some one-dimensional convection and diffusion problems, including nonlinear problems. Algorithms such as these are of particular interest for massively parallel computers, where one is trying to minimize communications while at the same time maintain the stability properties normally associated with implicit schemes. It is shown how these stable algorithms can be applied in higher spatial dimensions and how they can be extended to problems defined on unstructured meshes.
- Publication:
-
29th AIAA Aerospace Sciences Meeting
- Pub Date:
- January 1991
- Bibcode:
- 1991aiaa.meetS....R
- Keywords:
-
- Algorithms;
- Computational Fluid Dynamics;
- Convective Flow;
- Diffusion Theory;
- Nonlinear Systems;
- Parallel Processing (Computers);
- Boundary Conditions;
- Computational Grids;
- Steady State;
- Unsteady State;
- Wave Equations;
- Fluid Mechanics and Heat Transfer