Simulation of Boundary Value Problems for the Boltzmann Equation

  • The paper presents numerical results on the simulation of boundary value problems for the Boltzmann equation in one and two dimensions. In the one-dimensional case, we use prescribed fluxes at the left and diffusive conditions on the right end of a slab to study the resulting steady state solution. Moreover, we compute the numerical density function in velocity space and compare the result with the Chapman-Enskog distribution obtained in the limit for continuous media. The aim of the two-dimensional simulations is to investigate the possibility of a symmetry break in the numerical solution.

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Author:Jens Struckmeier
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5499
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (148)
Document Type:Preprint
Language of publication:English
Year of Completion:1995
Year of Publication:1995
Publishing Institute:Technische Universität Kaiserslautern
Tag:Boltzmann Equation ; Boundary Value Problems ; Numerical Simulation
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):65C05 Monte Carlo methods
76P05 Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05]
82C80 Numerical methods (Monte Carlo, series resummation, etc.)

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