A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases

DOI10.1007/s10955-017-1837-4zbMath1373.82059OpenAlexW2611077358MaRDI QIDQ1675347

Julien Mathiaud, Luc Mieussens

Publication date: 27 October 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-017-1837-4

zbMATH Keywords

Prandtl numberH-theoremellipsoidal-statistical modelFokker-Planck modelpolyatomic gas

Mathematics Subject Classification ID

Related Items (9)

Master equation approach for modeling diatomic gas flows with a kinetic Fokker-Planck algorithm ⋮ Global existence and long time behavior of the ellipsoidal-statistical-Fokker-Planck model for diatomic gases ⋮ BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy ⋮ A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows ⋮ Particle simulation of nonequilibrium gas flows based on ellipsoidal statistical Fokker-Planck model ⋮ A BGK model for high temperature rarefied gas flows ⋮ An ES-BGK model for polyatomic gases in rotational and vibrational nonequilibrium ⋮ A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to Shock-wave structure ⋮ A unified stochastic particle method based on the Bhatnagar-Gross-Krook model for polyatomic gases and its combination with DSMC

Cites Work

• A Fokker-Planck model of the Boltzmann equation with correct Prandtl number
• Locally refined discrete velocity grids for stationary rarefied flow simulations
• A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion
• Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
• Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry
• On a model of Borgnakke-Larsen type leading to nonlinear energy laws at temperatures for polyatomic perfect gases
• A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions
• Fokker–Planck model for computational studies of monatomic rarefied gas flows
• Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows
• Numerical methods for kinetic equations
• Oscillatory rarefied gas flow inside rectangular cavities
• The Gaussian-BGK model of Boltzmann equation with small Prandtl number

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