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A numerical model for the Boltzmann equation with applications to micro flows

By Hans Babovsky


AbstractGiven an integer lattice L⊂Rd, we define G as the orthogonal group leaving L invariant. Starting from a basic kinetic model on G we construct a collision operator on L which keeps all the essential features of the classical Boltzmann collision operator. For a particular 3D lattice we demonstrate the suitability of this discrete model for the numerical simulation of rarefied flows. For several examples, e.g. in the context of micro flows, we find a good qualitative and quantitative agreement of our simulation results with test data

Publisher: Elsevier Ltd.
Year: 2009
DOI identifier: 10.1016/j.camwa.2009.05.003
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