Fourth-order analysis of force terms in multiphase pseudopotential lattice Boltzmann model

Wu, Y, Gui, N, Yang, X, Tu, J and Jiang, S 2018, 'Fourth-order analysis of force terms in multiphase pseudopotential lattice Boltzmann model', Computers and Mathematics with Applications, vol. 76, no. 7, pp. 1699-1712.


Document type: Journal Article
Collection: Journal Articles

Title Fourth-order analysis of force terms in multiphase pseudopotential lattice Boltzmann model
Author(s) Wu, Y
Gui, N
Yang, X
Tu, J
Jiang, S
Year 2018
Journal name Computers and Mathematics with Applications
Volume number 76
Issue number 7
Start page 1699
End page 1712
Total pages 14
Publisher Pergamon Press
Abstract Pseudopotential lattice Boltzmann model (LBM) for multiphase flow has been widely studied due to its conceptual simplicity and computational efficiency. Additional interaction force terms are proposed to adjust mechanical stability condition for thermodynamic consistency in pseudopotential force. However, the additional force terms introduce a new non-physical effect in fourth-order macroscopic equation, which causes a variation of density ratio with different relaxation times in the multiphase-relaxation-time (MRT) LBM. In this work, a fourth-order analysis of force term in MRT LBM is presented to identify the fourth-order terms in recovered NavierStokes equations. Through the higher-order analysis, two methods are proposed to eliminate this effect. A series of numerical tests of planar interface and droplet are conducted to validate the analyses.
Subject Numerical Modelling and Mechanical Characterisation
Keyword(s) Density ratio
Force terms
Fourth-order analysis
Multiphase-relaxation-time (MRT)
Pseudopotential lattice Boltzmann model
DOI - identifier 10.1016/j.camwa.2018.07.022
Copyright notice © 2018 Elsevier Ltd. All rights reserved.
ISSN 0898-1221
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