Nonexistence of \(H\) theorem for some lattice Boltzmann models

DOI10.1007/s10955-005-5958-9zbMath1083.82015OpenAlexW2078282673MaRDI QIDQ811916

Li-Shi Luo, Wen-An Yong

Publication date: 23 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10955-005-5958-9

zbMATH Keywords

Boltzmann equationevolutionsteady state\(H\)-functionlattice modelenergy conservinganalytical approach\(H\) theoremsenergy non-conserving

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (8)

The lattice Boltzmann method for nearly incompressible flows ⋮ A discrete nine-velocity model of the Boltzmann equation: solution in the form of Wild sum and applications to simulating incompressible flows ⋮ A modified secant method for entropic lattice Boltzmann equations ⋮ On pressure and corner boundary conditions with two lattice Boltzmann construction approaches ⋮ Comparative study of the lattice Boltzmann collision models for simulation of incompressible fluid flows ⋮ An Onsager-like relation for the lattice Boltzmann method ⋮ Enhancement of the stability of lattice Boltzmann methods by dissipation control ⋮ Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations

Cites Work

• Some recent results on discrete velocity models and ramifications for lattice Boltzmann equation
• Entropic lattice Boltzmann methods
• Lattice BGK model for incompressible Navier-Stokes equation

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