We extend a variance reduced discrete velocity method developed at UT Austin [1, 2] to gas mixtures with large mass ratios and flows with trace species. The mixture is stored as a collection of independent velocity distribution functions, each with a unique grid in velocity space. Different collision types (A-A, A-B, B-B, etc.) are treated independently, and the variance reduction scheme is formulated with different equilibrium functions for each separate collision type. The individual treatment of species enables increased focus on species important to the physics of the flow, even if the important species are present in trace amounts. The method is verified through comparisons to Direct Simulation Monte Carlo computations and the computational workload per time step is investigated for the variance reduced method.
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9 December 2014
PROCEEDINGS OF THE 29TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS
13–18 July 2014
Xi'an, China
Research Article|
December 09 2014
Discrete velocity computations with stochastic variance reduction of the Boltzmann equation for gas mixtures Available to Purchase
Peter Clarke;
Peter Clarke
ASE-EM Department, UT Austin, 210 East 24th St, C0600, Austin, TX 78712,
USA
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Philip Varghese;
Philip Varghese
ASE-EM Department, UT Austin, 210 East 24th St, C0600, Austin, TX 78712,
USA
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David Goldstein
David Goldstein
ASE-EM Department, UT Austin, 210 East 24th St, C0600, Austin, TX 78712,
USA
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Peter Clarke
ASE-EM Department, UT Austin, 210 East 24th St, C0600, Austin, TX 78712,
USA
Philip Varghese
ASE-EM Department, UT Austin, 210 East 24th St, C0600, Austin, TX 78712,
USA
David Goldstein
ASE-EM Department, UT Austin, 210 East 24th St, C0600, Austin, TX 78712,
USA
AIP Conf. Proc. 1628, 1032–1039 (2014)
Citation
Peter Clarke, Philip Varghese, David Goldstein; Discrete velocity computations with stochastic variance reduction of the Boltzmann equation for gas mixtures. AIP Conf. Proc. 9 December 2014; 1628 (1): 1032–1039. https://doi.org/10.1063/1.4902707
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