A general consistent BGK model for gas mixtures

DOI10.3934/krm.2018054zbMath1405.76042OpenAlexW2807715531MaRDI QIDQ1715982

Marzia Bisi, Irina F. Potapenko, Maria Groppi, Alexander V. Bobylev, Giampiero Spiga

Publication date: 29 January 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2018054

zbMATH Keywords

Boltzmann equationkinetic theoryexchange ratesgas mixturesBGK models

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

A consistent BGK model with velocity-dependent collision frequency for gas mixtures ⋮ A BGK model for mixtures of monoatomic and polyatomic gases with discrete internal energy ⋮ A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes ⋮ Modelling and numerical study of the polyatomic bitemperature Euler system ⋮ A kinetic approach of the bi-temperature Euler model ⋮ SPARTACUS: an open-source unified stochastic particle solver for the simulation of multiscale nonequilibrium gas flows ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ On solutions of Vlasov-Poisson-Landau equations for slowly varying in space initial data ⋮ Derivation and numerical comparison of Shakhov and ellipsoidal statistical kinetic models for a monoatomic gas mixture ⋮ Numerical and theoretical analysis of model equations for multicomponent rarefied gas ⋮ The evaporation-condensation problem for a binary mixture of rarefied gases ⋮ Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 -- September 4, 2021 (hybrid meeting) ⋮ BGK model of the multi-species Uehling-Uhlenbeck equation ⋮ A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation ⋮ Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations ⋮ On the shock thickness for a binary gas mixture ⋮ BGK models for inert mixtures: comparison and applications ⋮ Fokker-Planck multi-species equations in the adiabatic asymptotics ⋮ A kinetic BGK relaxation model for a reacting mixture of polyatomic gases ⋮ Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency ⋮ Macroscopic equations for inert gas mixtures in different hydrodynamic regimes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A BGK relaxation model for polyatomic gas mixtures
• On the ellipsoidal statistical model for polyatomic gases
• A consistent kinetic model for a two-component mixture with an application to plasma
• The Boltzmann equation and its applications
• A consistent BGK-type model for gas mixtures
• A conservative, entropic multispecies BGK model
• Derivation of a BGK model for mixtures
• An ellipsoidal statistical model for gas mixtures
• Model for Collision Processes in Gases: Small-Amplitude Oscillations of Charged Two-Component Systems
• A Bhatnagar–Gross–Krook-type approach for chemically reacting gas mixtures
• A kinetic model for a multicomponent gas
• Kinetic Modeling of Gas Mixtures
• A relaxation kinetic model for transport phenomena in a reactive flow
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems