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Journal Articles Physical Review E Year : 2022

Addressing the gas kinetics Boltzmann equation with branching-path statistics

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Abstract

This article proposes a statistical numerical method to address gas kinetics problems obeying the Boltzmann equation. This method is inspired by Monte Carlo algorithms used in linear transport physics, where virtual particles are followed backwards in time along their paths. The nonlinear character of gas kinetics translates, in the numerical simulations presented here, into branchings of the virtual particle paths. The obtained algorithms have displayed in the few tests presented here two noticeable qualities: (1) they involve no mesh and (2) they allow one to easily compute the gas density at rarefied places of the phase space, for example, at high kinetic energy.
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Dates and versions

hal-03563357 , version 1 (14-03-2022)

Identifiers

Cite

Guillaume Terrée, Mouna El-Hafi, Stéphane Blanco, Richard Fournier, Jérémi Dauchet, et al.. Addressing the gas kinetics Boltzmann equation with branching-path statistics. Physical Review E , 2022, 105 (2), pp.025305. ⟨10.1103/PhysRevE.105.025305⟩. ⟨hal-03563357⟩
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