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The lattice Boltzmann method for two-phase fluids is applied to penetration of liquid in gas through spherical bodies with various types of wettability. The previous wetting boundary condition on a solid wall is partially improved: the second derivative of the order parameter at a wall is approximated by the values and the first derivative at the wall and at the nearest node from the wall. In the preliminary calculations, the static contact angles obtained by the present approach are in good agreement with the theoretical predictions according to the Young's law between 24 and 156 degrees. Using this method, liquid penetration through the spherical bodies is simulated for various wetting conditions, several porosities of the porous structure, and several diameters of the spherical bodies.

Numerical Simulation of Liquid Penetration through Spherical Bodies with Various Types of Wettability