Central schemes for hydrodynamical limits of discrete-velocity kinetic models

DOI10.1080/00411450008205885zbMath1017.82044OpenAlexW1982055439MaRDI QIDQ2720981

Ester Gabetta, M. Cristina Ronconi, Lorenzo Pareschi

Publication date: 28 June 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008205885

zbMATH Keywords

Boltzmann equationasymptotic limitscaling parameterdiffusive limitfluid-dynamic limit

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (3)

A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions ⋮ Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation ⋮ A fourth-order central Runge-Kutta scheme for hyperbolic conservation laws

Cites Work

• Numerical schemes for kinetic equations in diffusive regimes
• Non-oscillatory central differencing for hyperbolic conservation laws
• Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
• Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
• Relaxation Schemes for Nonlinear Kinetic Equations
• An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit

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