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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.

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Author:Sudarshan Tiwari, Axel Klar
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5940
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (189)
Document Type:Preprint
Language of publication:English
Year of Completion:1998
Year of Publication:1998
Publishing Institute: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:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011