The \(\Delta\)-\(\epsilon\) method for the Boltzmann equation

DOI10.1006/jcph.1994.1030zbMath0797.65114OpenAlexW22425740MaRDI QIDQ1322990

Zhiqiang Tan, Philip L. Varghese

Publication date: 10 May 1994

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

Full work available at URL: https://doi.org/10.1006/jcph.1994.1030

zbMATH Keywords

finite difference methodnumerical examplesMonte Carlo methodBoltzmann equationcollision integralbenchmark problems

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70)

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A velocity space hybridization-based Boltzmann equation solver ⋮ Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement ⋮ Regularized Boltzmann operators ⋮ Monte Carlo solution of the Boltzmann equation via a discrete velocity model ⋮ An ultra-sparse approximation of kinetic solutions to spatially homogeneous flows of non-continuum gas ⋮ Variance reduction for Monte Carlo solutions of the Boltzmann equation ⋮ Isogeometric schemes in rarefied gas dynamics context ⋮ Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry ⋮ An acceleration procedure for discrete velocity approximation of the Boltzmann collision operator

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