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Boltzmann Simulation by Particle Methods

  • Particle methods to simulate rarefied gas flows have found an increasing interest in Computational Fluid Dynamics during the last decade, see for example [1], [2], [3] and [4]. The general goal is to develop numerical schemes which are reliable enough to substitute real windtunnel experiments, needed for example in space research, by computer experiments. In order to achieve this goal one needs numerical methods solving the Boltzmann equation including all important physical effects. In general this means 3D computations for a chemically reacting rarefied gas. With codes of this kind at hand, Boltzmann simulation becomes a powerful tool in studying rarefied gas phenomena.

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Author:Helmut Neunzert, Jens Struckmeier
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5107
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (112)
Document Type:Preprint
Language of publication:English
Year of Completion:1994
Year of Publication:1994
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Boltzmann Equation; Domain Decomposition; Numerical Simulation; Particle Methods
Source:Boltzmanns Legacy 150 Years after his Birth, Accademia Nazionale Dei Lincei, Roma, Atti Dei Convegni Lincei 131, pp. 59-78 (1997)
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Cxx Probabilistic methods, simulation and stochastic differential equations (For theoretical aspects, see 68U20 and 60H35) / 65C05 Monte Carlo methods
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Pxx Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05] / 76P05 Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05]
82-XX STATISTICAL MECHANICS, STRUCTURE OF MATTER / 82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium) / 82C80 Numerical methods (Monte Carlo, series resummation, etc.)
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011