On a conservative polar discretization of the Boltzmann equation

DOI10.1007/BF03167391zbMath0895.76070OpenAlexW2080242667MaRDI QIDQ1370922

J. Ning

Publication date: 3 December 1997

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167391

zbMATH Keywords

system of integro-differential equationspolar coordinatescollision operator\(H\)-theoremconservation equationssemi-continuous model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (9)

GENERALIZED DISCRETE VELOCITY MODELS ⋮ From the Boltzmann equation to generalized kinetic models in applied sciences ⋮ Phase boundary solutions to model kinetic equations via the Conley index theory. II. ⋮ Quadrature-based moment closures for non-equilibrium flows: hard-sphere collisions and approach to equilibrium ⋮ A note on speed discretization in kinetic theory via the scattering kernel formulation of the Boltzmann equation ⋮ A SemiContinuous Solution of the Boltzmann Equation for Carrier‐Carrier and Carrier‐Phonon Interaction ⋮ P_NAPPROXIMATION OF THE NONLINEAR SEMI-DISCRETE BOLTZMANN EQUATION ⋮ Numerical methods for kinetic equations ⋮ Semicontinuous Kinetic Theory of the Relaxation of Electrons in GaAs

Cites Work

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• A NEW DISCRETIZED MODEL IN NONLINEAR KINETIC THEORY—THE SEMICONTINUOUS BOLTZMANN EQUATION
• On the thermodynamics of a discrete velocity gas
• A direct method for solving the Boltzmann equation
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• THE SEMICONTINUOUS BOLTZMANN EQUATION: TOWARDS A MODEL FOR FLUID DYNAMIC APPLICATIONS
• A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics

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