An adaptive domain decomposition procedure for Boltzmann and Euler equations
โ Scribed by S. Tiwari; A. Klar
- Book ID
- 104338656
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 779 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we present a domain decomposition approach for the coupling of Boltzmann and Euler equations. Particle methods are used for both equations. This leads to a simple implementation of the coupling procedure and to natural interface conditions between the two domains. Adaptive time and space discretizations and a direct coupling procedure lead to considerable gains in CPU time compared to a solution of the full Boltzmann equation. Several test cases involving a large range of Knudsen numbers are numerically investigated. (~) 1998 Elsevier Science B.V. All rights reserved.
๐ SIMILAR VOLUMES
## Abstract A domain decomposition technique to solve largeโscale aerodynamics problems on unstructured grids is investigated. The linear system, arising when an implicit timeโadvancing scheme is used, is preconditioned using a Schwarzโbased method. The key idea of the Schwarz preconditioner is to
An adaptive least-squares finite element method is used to solve the compressible Euler equations in two dimensions. Since the method is naturally diffusive, no explicit artificial viscosity is added to the formulation. The inherent artificial viscosity, however, is usually large and hence does not