A parallel Runge-Kutta discontinuous Galerkin solver for rarefied gas flows based on 2D Boltzmann kinetic equations

DOI10.1016/J.COMPFLUID.2014.12.015zbMath1390.76814OpenAlexW2004563234MaRDI QIDQ1645586

Wei Su, Alina A. Alexeenko, Guobiao Cai

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2014.12.015

zbMATH Keywords

kinetic modelsnumerical efficiencyrarefied gas flowparallel performancehigh-order discontinuous Galerkin method

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 (11)

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 ⋮ Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ A super-parallel mixed explicit discontinuous Galerkin method for the second-order Boltzmann-based constitutive models of rarefied and microscale gases ⋮ An explicit modal discontinuous Galerkin method for Boltzmann transport equation under electronic nonequilibrium conditions ⋮ Particle simulation of nonequilibrium gas flows based on ellipsoidal statistical Fokker-Planck model ⋮ Implicit discontinuous Galerkin method for the Boltzmann equation ⋮ A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation ⋮ A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels ⋮ Application of discrete unified gas kinetic scheme to thermally induced nonequilibrium flows

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