New Discrete Model Boltzmann Equations for Arbitrary Partitions of the Velocity Space |
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Authors: | Reiterer P Reitshammer C Schürrer F Hanser F Eitzenberger T |
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Institution: | (1) Institute for Theoretical Physics, Technical University of Graz, A-8010 Graz, Austria |
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Abstract: | Modified discrete Boltzmann equations for arbitrary partitions of the velocity space are established. The new equations can be derived from the continuous Boltzmann equation and are a generalization of previous discrete-velocity models. They preserve mass, momentum, and energy, and an H-theorem holds. The new model equations are tested by comparing their solutions with the analytical ones of the continuous Boltzmann equation for the Krook–Wu and the very hard particle models. |
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Keywords: | kinetic theory Boltzmann equation discrete-velocity models |
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