Comparison of stochastic BGK and FP methods for the simulation of non-equilibrium multi-species molecular gas flows

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Hauptverfasser: Hild, Franziska, Pfeiffer, Marcel
Format: Preprint
Veröffentlicht: 2025
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author Hild, Franziska
Pfeiffer, Marcel
author_facet Hild, Franziska
Pfeiffer, Marcel
contents Due to limited possibilities of experimental investigations for non-equilibrium gas flows, numerical results are of highest interest. Although the well-established Direct Simulation Monte Carlo (DSMC) method achieves highly accurate solutions, the computational requirements increase excessively for lower Knudsen regimes. Computationally more efficient simulations can be achieved with stochastic continuum-based methods using either the Bhatnagar-Gross-Krook (BGK) or the Fokker-Planck (FP) approximations where, instead of particle collisions, particle relaxation processes are considered. This paper explains the implementation of different stochastic BGK and FP methods in the open-source particle code PICLas for multi-species molecular gas flows. For verification, the results of different test cases are compared.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18599
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comparison of stochastic BGK and FP methods for the simulation of non-equilibrium multi-species molecular gas flows
Hild, Franziska
Pfeiffer, Marcel
Computational Physics
Fluid Dynamics
Due to limited possibilities of experimental investigations for non-equilibrium gas flows, numerical results are of highest interest. Although the well-established Direct Simulation Monte Carlo (DSMC) method achieves highly accurate solutions, the computational requirements increase excessively for lower Knudsen regimes. Computationally more efficient simulations can be achieved with stochastic continuum-based methods using either the Bhatnagar-Gross-Krook (BGK) or the Fokker-Planck (FP) approximations where, instead of particle collisions, particle relaxation processes are considered. This paper explains the implementation of different stochastic BGK and FP methods in the open-source particle code PICLas for multi-species molecular gas flows. For verification, the results of different test cases are compared.
title Comparison of stochastic BGK and FP methods for the simulation of non-equilibrium multi-species molecular gas flows
topic Computational Physics
Fluid Dynamics
url https://arxiv.org/abs/2501.18599