Effects of density and force discretizations on spurious velocities in lattice Boltzmann equation for two-phase flows

Handle URI:
http://hdl.handle.net/10754/575598
Title:
Effects of density and force discretizations on spurious velocities in lattice Boltzmann equation for two-phase flows
Authors:
Xiong, Yuan ( 0000-0001-5328-3487 ) ; Guo, Zhaoli
Abstract:
Spurious current emerging in the vicinity of phase interfaces is a well-known disadvantage of the lattice Boltzmann equation (LBE) for two-phase flows. Previous analysis shows that this unphysical phenomenon comes from the force imbalance at discrete level inherited in LBE (Guo et al 2011 Phys. Rev. E 83 036707). Based on the analysis of the LBE free of checkerboard effects, in this work we further show that the force imbalance is caused by the different discretization stencils: the implicit one from the streaming process and the explicit one from the discretization of the force term. Particularly, the total contribution includes two parts, one from the difference between the intrinsically discretized density (or ideal gas pressure) gradient and the explicit ones in the force term, and the other from the explicit discretized chemical potential gradients in the intrinsically discretized force term. The former contribution is a special feature of LBE which was not realized previously.
KAUST Department:
Clean Combustion Research Center
Publisher:
IOP Publishing
Journal:
Journal of Physics A: Mathematical and Theoretical
Issue Date:
28-Apr-2014
DOI:
10.1088/1751-8113/47/19/195502
Type:
Article
ISSN:
1751-8113; 1751-8121
Sponsors:
This work is subsidized by the National Natural Science Foundation of China (51125024) and the National Basic Research Programme of China (2011CB707305).
Appears in Collections:
Articles; Clean Combustion Research Center

Full metadata record

DC FieldValue Language
dc.contributor.authorXiong, Yuanen
dc.contributor.authorGuo, Zhaolien
dc.date.accessioned2015-08-24T08:33:47Zen
dc.date.available2015-08-24T08:33:47Zen
dc.date.issued2014-04-28en
dc.identifier.issn1751-8113en
dc.identifier.issn1751-8121en
dc.identifier.doi10.1088/1751-8113/47/19/195502en
dc.identifier.urihttp://hdl.handle.net/10754/575598en
dc.description.abstractSpurious current emerging in the vicinity of phase interfaces is a well-known disadvantage of the lattice Boltzmann equation (LBE) for two-phase flows. Previous analysis shows that this unphysical phenomenon comes from the force imbalance at discrete level inherited in LBE (Guo et al 2011 Phys. Rev. E 83 036707). Based on the analysis of the LBE free of checkerboard effects, in this work we further show that the force imbalance is caused by the different discretization stencils: the implicit one from the streaming process and the explicit one from the discretization of the force term. Particularly, the total contribution includes two parts, one from the difference between the intrinsically discretized density (or ideal gas pressure) gradient and the explicit ones in the force term, and the other from the explicit discretized chemical potential gradients in the intrinsically discretized force term. The former contribution is a special feature of LBE which was not realized previously.en
dc.description.sponsorshipThis work is subsidized by the National Natural Science Foundation of China (51125024) and the National Basic Research Programme of China (2011CB707305).en
dc.publisherIOP Publishingen
dc.titleEffects of density and force discretizations on spurious velocities in lattice Boltzmann equation for two-phase flowsen
dc.typeArticleen
dc.contributor.departmentClean Combustion Research Centeren
dc.identifier.journalJournal of Physics A: Mathematical and Theoreticalen
dc.contributor.institutionHuazhong Univ Sci & Technol, Natl Lab Coal Combust, Wuhan 430074, Peoples R Chinaen
kaust.authorXiong, Yuanen
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