A lattice Boltzmann diffuse interface model for two-phase flow with moving solid boundaries

Computational study of suspensions involves tracking solid particles in a two-phase flow system. In the case of moving solid bodies in a single-phase flow, particle-based solvers (like the lattice Boltzmann method) treat the solid body as an effective fluid medium with high viscosity. The situation is slightly more involved with two fluid phases as it requires a prescription for a wetting boundary condition at the triple junction (in this case, where two fluid and one solid phase meet). The challenge here is ensuring that the no-slip and wetting boundary conditions are satisfied at the exact location inside the diffuse interface. The project will involve building and testing a mathematical model with a C++ code.