An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit

DOI10.1016/j.jcp.2017.04.028zbMath1376.76057OpenAlexW2607502871MaRDI QIDQ1686589

Nicholas Payne, Songting Luo

Publication date: 15 December 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.028

zbMATH Keywords

asymptotic methodkinetic equationHopf-Cole transformationBhatnagar-Gross-Krook operator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

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A first-order asymptotic preserving scheme for front propagation in a one-dimensional kinetic reaction-transport equation, Properties-preserving high order numerical methods for a kinetic eikonal equation

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