Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model
Numerical Analysis
2024-04-30 v1 Numerical Analysis
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2404.18039,
title = {Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model},
author = {Evan Habbershaw and Cory D. Hauck and Steven M. Wise},
journal= {arXiv preprint arXiv:2404.18039},
year = {2024}
}