We want to apply the solid surface by Shao et al. 2014 model [Free-energy-based lattice Boltzmann model for the simulation of multiphase flows with density contrast].
How can terms of density, chemical potential and order parameter gradient for solid surface be defined?
hello,
In my personal view, the normally bounce back boundary or half-way bounce back boundary can be applied to solve the solid boundary.
The definition of the chemical potential and order parameter is related to the wettability of the solid boundary, and more details can be found in the references
( T. Lee, L. Liu, Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, J. Comput. Phys. 229 (2010) 8045–8063.) and ( Y.Y.Yan, Y.Q.Zu. A lattice Boltzmann method for incompressible two-phase flows on partial wetting surface with large density ratio. Journal of Computational Physics 227 (2007) 763–775 )
Once the order parameter is determined, the local density can also be calculated.
https://www.sciencedirect.com/search/advanced?qs=solid%20surface%20to%20the%20Free%20Energy%20LBM%20model&show=25&sortBy=relevance
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