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arxiv: 2404.18039 · v1 · pith:6WYRNLIX · submitted 2024-04-28 · math.NA · cs.NA· math-ph· math.MP

Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model

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classification math.NA cs.NAmath-phmath.MP
keywords implicitmomentequationsimexiterativemodelmulti-speciesapproach
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A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-species Bhatnagar-Gross-Krook (M-BGK) model with nontrivial collision frequencies depending on individual species temperatures. We prove that under mild time step restrictions, the iterative method generates a contraction mapping. Numerical simulations are provided to illustrate results of the IMEX scheme using the implicit moment solver.

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