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

Authors:
Hans Babovsky
Affiliations:
Institute of Mathematics, Ilmenau University of Technology, P. O. Box 100565, D-98684 Ilmenau, Germany
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 3
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Abstract

Given an integer lattice L@?R^d, 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.