Accurate asymptotic preserving boundary conditions for kinetic equations on Cartesian grids

DOI10.1007/s10915-015-9984-8zbMath1330.76091OpenAlexW2038143466MaRDI QIDQ896213

Gabriella Puppo, Angelo Iollo, Florian Bernard

Publication date: 9 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01148397/file/Euler-AP_V2.pdf

zbMATH Keywords

Boltzmann equationCartesian gridBGK modelasymptotic preserving schemes

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (12)

An efficient direct solver for rarefied gas flows with arbitrary statistics ⋮ Boundary conditions for semi-Lagrangian methods for the BGK model ⋮ Existence, uniqueness and positivity of solutions for BGK models for mixtures ⋮ Simulation of Diluted Flow Regimes in Presence of Unsteady Boundaries ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ Kinetic/Fluid Micro-Macro Numerical Scheme for a Two Component Gas Mixture ⋮ Hypocoercivity for a BGK model for gas mixtures ⋮ BGK model of the multi-species Uehling-Uhlenbeck equation ⋮ A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures ⋮ BGK polyatomic model for rarefied flows ⋮ A consistent kinetic model for a two-component mixture with an application to plasma ⋮ Simulation of particle dynamics for rarefied flows: backflow in thruster plumes

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