simulation of cahn-hilliard-navier-stokes system

The current paper presents a numerical procedure to simulate the cahn-hilliard-navier-stokes system based on the radial basis functions-finite difference (rbffd)method. the cahn-hilliard-navier-stokes equations represent the fundamentalbuilding blocks of hydrodynamic phase-field models for multiphase fluid flow dynamics.there are increasing numbers of applications where the cahn–hilliard model is beingused in conjunction with the incompressible navier–stokes equation to describe unsteadybinary fluids in a variety of applications ranging from turbulent two-phase flows tomicrofluidics.