A study on the inclusion of body forces in the lattice Boltzmann BGK equation to recover steady-state hydrodynamics

Goncalo Silva and Viriato Semiao

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 6, 1085-1095

Abstract: When the lattice Boltzmann (LB) method is used to solve hydrodynamic problems containing a body force term varying in space and/or time, its modelling at the mesoscopic scale must be verified in terms of consistency in order to avoid the appearance of non-hydrodynamic error terms at the macroscopic scale. In the present work it is shown that the modelling of spatially varying steady body force terms in the LB equation must be different from the time-dependent case, when a steady-state flow solution is sought. For that, the Chapman–Enskog analysis is used to derive the LB body force model for the LB BGK equations in a steady-state flow problem. The theoretical findings are supported by numerical tests performed on two different 2D steady-state laminar flows driven by spatially varying body forces with known analytical solutions.

Keywords: Lattice Boltzmann method; BGK collision operator; Steady-state flows; Body force driven flows (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:6:p:1085-1095

DOI: 10.1016/j.physa.2010.11.037

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