Numerical algorithm for simulation of three-dimensional two-phase flows with surface effects within domains with voxel geometry

Abstract: The paper presents a numerical algorithm for computing three-dimensional viscous compressible isothermal two-phase two-component flows with surface effects in domains of complex shape with voxel geometry. The algorithm is based on quasi-hydrodynamic regularization of the diffuse-interface model. A new improved finite-difference scheme is constructed. The method of its implementing on the domain boundary is described in detail. The simulation results are given for spreading of a drop on a substrate and displacement of a fluid by another one in a channel of complex shape.Note: Research direction:Mathematical modelling in actual problems of science and technic