A Weakly Compressible Navier-Stokes Solver Coupled with LBM Phase-Field Model for Two-Phase Flows on Complex Boundary

抄録

This paper presents a numerical method for two-phase flow with complex boundary of solid object. Fluid flows are governed by the weakly compressible Navier-Stokes equations under the conditions of isothermal state and low Mach number. Finite difference method is employed for discretization on a staggered Cartesian grid. Two-phase interface is captured by conservative Allen-Cahn equation, which is solved by lattice Boltzmann method. Through the bounce-back scheme and an extension technique for phase field function, exact mass conservation at the solid boundary is achieved. After a validation of accuracy for bubble rising problem, the gas-liquid flow with rotating plate and water drop falling on a cylinder are simulated to demonstrate the practicality and stability.