Journal article
Boundary condition considerations in lattice Boltzmann formulations of wetting binary fluids

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Publication Details
Author list: Uesaka, Tetsu;Wiklund, Hanna
Publication year: 2011
Start page: 2192
End page: 2200
Number of pages: 9
ISSN: 0010-4655
View additional information: View in Web of Science™


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. © 2011 Elsevier B.V. All rights reserved.

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