A numerical model for the Boltzmann equation with applications to micro flows
Babovsky, Hans
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https://www.db-thueringen.de/receive/
http://uri.gbv.de/document/gvk:ppn:607472855
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Klasse A
Boltzmann equation
numerical simulation
discrete kinetic model
Given an integer lattice \mathcal{L} \subset \mathbb{R}d, we define G as the orthogonal group leaving \mathcal{L} invariant. Starting from a basic kinetic model on G we construct a collision operator on \mathcal{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.
2009-01-30
eng
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