Modeling Error in L1for a Hierarchy of 1-D Discrete Velocity Models

DOI10.1080/00411450903238665zbMath1180.82148OpenAlexW2088838320MaRDI QIDQ3652647

Marc Laforest, Kondo C. Assi

Publication date: 16 December 2009

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

Full work available at URL: https://doi.org/10.1080/00411450903238665

zbMATH Keywords

Boltzmann equationerror estimatemodeling errordiscrete velocity modelnonlinear hyperbolic equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (1)

Stability and modeling error for the Boltzmann equation

Cites Work

• Unnamed Item
• Large-time behavior of discrete velocity Boltzmann equations
• A remarkable estimate for the solutions of the Boltzmann equation
• Lyapunov functionals and \(L^1\)-stability for discrete velocity Boltzmann equations
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• \(L^1\) stability estimates for \(n\times n\) conservation laws
• An adaptive discrete-velocity model for the shallow water equations
• Discrete velocity models without nonphysical invariants
• Nonlinear functionals of the Boltzmann equation and uniform stability estimates
• On the Broadwell's model for a simple discrete velocity gas
• Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels
• A Posteriori Error Estimate for Front-Tracking: Systems of Conservation Laws
• Stochastic Numerics for the Boltzmann Equation
• Solutions in the large for nonlinear hyperbolic systems of equations

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