An Onsager-like relation for the lattice Boltzmann method

DOI10.1016/j.camwa.2009.02.010zbMath1189.76420arXiv0805.1483OpenAlexW1985822571MaRDI QIDQ979960

Wen-An Yong

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1483

zbMATH Keywords

stabilitylattice Boltzmann methodOnsager reciprocal relation

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28)

Related Items (6)

The lattice Boltzmann method for nearly incompressible flows ⋮ On a two-relaxation-time D2Q9 lattice Boltzmann model for the Navier-Stokes equations ⋮ On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations ⋮ Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations ⋮ A structured approach to the construction of stable linear lattice Boltzmann collision operator ⋮ Numerical analysis of the lattice Boltzmann method for the Boussinesq equations

Cites Work

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• Nonexistence of \(H\) theorem for some lattice Boltzmann models
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• An interesting class of partial differential equations
• Weighted $\mathbb{L}^2$-Stability of the Lattice Boltzmann Method
• Lattice BGK Models for Navier-Stokes Equation
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• A Stability Notion for Lattice Boltzmann Equations

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