Isotropy and spurious currents in pseudo-potential multiphase lattice Boltzmann models

•Complete relationship between isotropy and spurious currents are established.•High-order LB models are designed.•Spurious currents are reduced by another order by new models. The spurious currents observed in multiphase flow simulations with pseudo-potential lattice Boltzmann (LB) models are usuall...

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Bibliographic Details
Published inComputers & fluids Vol. 191; p. 104257
Main Authors Peng, Cheng, Ayala, Luis F., Ayala, Orlando M., Wang, Lian-Ping
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 15.09.2019
Elsevier BV
Subjects
Computer simulation
Flow simulation
Isotropy
Multiphase flow
Pseudo-potential multiphase LBM
Spurious currents
Isotropy
Spurious currents
Pseudo-potential multiphase LBM
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Summary:•Complete relationship between isotropy and spurious currents are established.•High-order LB models are designed.•Spurious currents are reduced by another order by new models. The spurious currents observed in multiphase flow simulations with pseudo-potential lattice Boltzmann (LB) models are usually understood to be the result of the lack of isotropy of the model-generated interaction force between phases. Remedies have been proposed to utilize larger stencils to compute the interaction force with higher orders of isotropy. In this document, we point out the incompleteness in the current understanding and propose a new consistent implementation to more effectively suppress the spurious currents. We also demonstrate theoretically that certain low-level spurious currents cannot be eliminated by increasing isotropy if the local hydrostatic balance inside the diffuse interface is not established in the LB models.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2019.104257