Year: 2015
Author: Pierre Lallemand, François Dubois
Communications in Computational Physics, Vol. 17 (2015), Iss. 5 : pp. 1169–1184
Abstract
We show that a single particle distribution for the "energy-conserving" D2Q13 lattice Boltzmann scheme can simulate coupled effects involving advection and diffusion of velocity and temperature. We consider various test cases: non-linear waves with periodic boundary conditions, a test case with buoyancy, propagation of transverse waves, Couette and Poiseuille flows. We test various boundary conditions and propose to mix bounce-back and anti-bounce-back numerical boundary conditions to take into account velocity and temperature Dirichlet conditions. We present also first results for the de Vahl Davis heated cavity. Our results are compared with the coupled D2Q9-D2Q5 lattice Boltzmann approach for the Boussinesq system and with an elementary finite differences solver for the compressible Navier-Stokes equations. Our main experimental result is the loss of symmetry in the de Vahl Davis cavity computed with the single D2Q13 lattice Boltzmann model without the Boussinesq hypothesis. This result is confirmed by a direct Navier Stokes simulation with finite differences.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.2014.m400
Communications in Computational Physics, Vol. 17 (2015), Iss. 5 : pp. 1169–1184
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Author Details
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Recovering the full Navier Stokes equations with lattice Boltzmann schemes
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General fourth-order Chapman–Enskog expansion of lattice Boltzmann schemes
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The lattice Boltzmann method for nearly incompressible flows
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On anti bounce back boundary condition for lattice Boltzmann schemes
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Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes
Dubois, François
Asymptotic Analysis, Vol. 127 (2022), Iss. 4 P.297
https://doi.org/10.3233/ASY-211692 [Citations: 5]