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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Reiterer, P., Reitshammer, C., Schürrer, F. et al. New Discrete Model Boltzmann Equations for Arbitrary Partitions of the Velocity Space. Journal of Statistical Physics 98, 419–440 (2000). https://doi.org/10.1023/A:1018643409890
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DOI: https://doi.org/10.1023/A:1018643409890