Numerical solutions of the nonlinear model Boltzmann equations

DOI10.1098/rspa.1995.0003zbMath0821.76056OpenAlexW2100061420MaRDI QIDQ4833892

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Publication date: 3 October 1995

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1995.0003

zbMATH Keywords

operator splittingphase spacecircular cylindervelocity spacediscrete ordinate methodshock wave diffractionRiemann shock-tube problemcharacteristics-based essentially nonoscillatory methodnon- homogeneous hyperbolic conservation lawstime marching high resolution method

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Supersonic flows (76J20)

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A matrix-free, implicit finite volume lattice Boltzmann method for steady flows ⋮ Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations ⋮ A kinetic beam scheme for relativistic gas dynamics ⋮ An implicit block LU-SGS finite-volume lattice-Boltzmann scheme for steady flows on arbitrary unstructured meshes ⋮ Study on gas kinetic unified algorithm for flows from rarefied transition to continuum. ⋮ A conservation-moment-based implicit finite volume lattice Boltzmann method for steady nearly incompressible flows ⋮ Numerical Study on Two-Dimensional Micro-Channel Flows Using the Gas-Kinetic Unified Algorithm ⋮ Kinetic numerical methods for solving the semiclassical Boltzmann-BGK equation

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