Lattice Boltzmann method for thermal flow simulation on standard lattices

2007/03/31 by Nikolaos I. Prasianakis, N. I. Prasianakis, I. V. Karlin +1 · 2 citations
Engineering · Physics and Astronomy · #Aerodynamics and Fluid Dynamics Research #Aerosol Filtration and Electrostatic Precipitation #Lattice Boltzmann Simulation Studies #cond-mat.stat-mech #physics.comp-ph #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.76.016702

published as Phys. Rev. E 76, 016702 (2007) (11 pages) · 13 pages, 8 figures; Minor changes, to appear in Phys. Rev. E

arxiv created 2007/06/20 · openalex publication_date 2007/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The recently introduced consistent lattice Boltzmann model with energy conservation [S. Ansumali and I. V. Karlin, Phys. Rev. Lett. 95, 260605 (2005)] is extended to the simulation of thermal flows on standard lattices. The two-dimensional thermal model on the standard square lattice with nine velocities is developed and validated in the thermal Couette and Rayleigh-Bénard natural convection problems.

Citations

• Lattice BGK Models for Navier-Stokes Equation

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