Title
Initialization of lattice Boltzmann models with the help of the numerical Chapman-Enskog expansion Initialization of lattice Boltzmann models with the help of the numerical Chapman-Enskog expansion
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Computer. Automation
Source (journal)
Procedia computer science
Volume/pages
18(2013) , p. 1036-1045
ISSN
1877-0509
ISI
000321051200106
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We extend the applicability of the numerical ChapmanEnskog expansion as a lifting operator for lattice Boltzmann models to map density and momentum to distribution functions. In earlier work [Vanderhoydonc et al. Multiscale Model. Simul. 10(3): 766-791, 2012] such an expansion was constructed in the context of lifting only the zeroth order velocity moment, namely the density. A lifting operator is necessary to convert information from the macroscopic to the mesoscopic scale. This operator is used for the initialization of lattice Boltzmann models. Given only density and momentum, the goal is to initialize the distribution functions of lattice Boltzmann models. For this initialization, the numerical ChapmanEnskog expansion is used in this paper.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/c63068/fd47e8fa.pdf
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