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An adaptive domain decomposition procedure for Boltzmann and Euler equations
- 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 leads 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.
Author: | Sudarshan Tiwari, Axel Klar |
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URN: | urn:nbn:de:hbz:386-kluedo-5940 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (189) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1998 |
Year of first Publication: | 1998 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/06/25 |
Tag: | adaptive grid generation; domain decomposition; fluid dynamic equations; kinetic equations; particle methods |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |