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Boundary condition considerations in lattice Boltzmann formulations of wetting binary fluids
KTH, School of Chemical Science and Engineering (CHE), Fibre and Polymer Technology.
2011 (English)In: Computer Physics Communications, ISSN 0010-4655, E-ISSN 1879-2944, Vol. 182, no 10, 2192-2200 p.Article in journal (Refereed) Published
Abstract [en]

We propose a new lattice Boltzmann numerical scheme for binary-fluid surface interactions. The new scheme combines the existing binary free energy lattice Boltzmann method [Swift et al., Phys. Rev. E 54 (1996)] and a new wetting boundary condition for diffuse interface methods in order to eliminate spurious variations in the order parameter at solid surfaces. We use a cubic form for the surface free energy density and also take into account the contribution from free energy in the volume when discretizing the wetting boundary condition. This allows us to eliminate the spurious variation in the order parameter seen in previous implementations. With the new scheme a larger range of equilibrium contact angles are possible to reproduce and capillary intrusion can be simulated at higher accuracy at lower resolution.

Place, publisher, year, edition, pages
2011. Vol. 182, no 10, 2192-2200 p.
Keyword [en]
Lattice Boltzmann, Binary fluid, Wetting surface, Boundary condition
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-40643DOI: 10.1016/j.cpc.2011.05.019ISI: 000293486000012ScopusID: 2-s2.0-79960070654OAI: diva2:444163
QC 20110928Available from: 2011-09-28 Created: 2011-09-20 Last updated: 2011-09-28Bibliographically approved

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Lindstrom, Stefan B.
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