Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model
<|reference_start|>Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model: 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.<|reference_end|>
@article{habbershaw2024implicit,
    title={Implicit Update of the Moment Equations for a Multi-Species, Homogeneous
  BGK Model},
    author={Evan Habbershaw, Cory D. Hauck, Steven M. Wise},
    journal={arXiv preprint arXiv:2404.18039},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.18039},
    primaryClass={math.NA cs.NA math-ph math.MP}
}