## Numerical Simulation of the Stationary One-Dimensional Boltzmann Equation by Particle Methods

• The paper presents a numerical simulation technique - based on the well-known particle methods - for the stationary, one-dimensional Boltzmann equation for Maxwellian molecules. In contrast to the standard splitting methods, where one works with the instationary equation, the current approach simulates the direct solution of the stationary problem. The model problem investigated is the heat transfer between two parallel plates in the rarefied gas regime. An iteration process is introduced which leads to the stationary solution of the exact - space discretized - Boltzmann equation, in the sense of weak convergence.

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Author: Jens Struckmeier, A.V. Bobylev urn:nbn:de:hbz:386-kluedo-5279 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (128) Preprint English 1995 1995 Technische Universität Kaiserslautern 2000/04/03 Boltzmann Equation ; Numerical Simulation; Rarefied Gas Dynamics Eur. J. Mech. B/Fluids, Vol. 15, No. 1, 103-118 (1996) Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 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.) Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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