Linear stability analysis of thermo-lattice Boltzmann models

DOI10.1006/jcph.1997.5864zbMath0903.76080OpenAlexW2073433782MaRDI QIDQ1384507

George Vahala, Min Soe, Pavol Pavlo, Linda Vahala

Publication date: 13 April 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1997.5864

zbMATH Keywords

spectral radiusenergy densitysquare latticehexagonal lattice2-speed 13-bit TLBE modelsmethod of powers

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

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Cites Work

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• Simulating thermohydrodynamics with lattice \(BGK\) models
• Fully-Lagrangian and lattice-Boltzmann methods for solving systems of conservation equations
• \(H\)-theorem and generalized semi-detailed balance condition for lattice gas systems.
• Simulation of cavity flow by the lattice Boltzmann method
• Stability analysis of lattice Boltzmann methods
• Lattice BGK Models for Navier-Stokes Equation