A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows

DOI10.1016/J.APM.2010.07.027zbMath1211.76100OpenAlexW2079931382WikidataQ56453681 ScholiaQ56453681MaRDI QIDQ534857

Oubay Hassan, Ben Evans, Ken Morgan

Publication date: 10 May 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa6145

zbMATH Keywords

hypersonicdiscontinuousBoltzmannBGKTaylor-Galerkin

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

High-order hybridisable discontinuous Galerkin method for the gas kinetic equation ⋮ High order parallelisation of an unstructured grid, discontinuous-Galerkin finite element solver for the Boltzmann–BGK equation ⋮ A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes ⋮ Computational Study of Hypersonic Rarefied Gas Flow over Re-Entry Vehicles Using the Second-Order Boltzmann-Curtiss Constitutive Model ⋮ A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann-BGK equation ⋮ An immersed boundary method for fluids using the XFEM and the hydrodynamic Boltzmann transport equation ⋮ Aerodynamic optimisation of a hypersonic reentry vehicle based on solution of the Boltzmann-BGK equation and evolutionary optimisation ⋮ A novel combination of mathematical modelling approaches for simulating nearly hypersonic, viscous, reacting magnetogasdynamic flows

Uses Software

• Matlab

Cites Work

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• Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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