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A finite volume numerical method is introduced to perform the direct numerical simulation for two-phase immiscible and incompressible fluids. The Navier-Stokes equation is discretized by the staggered mesh spatially and advected temporally with the 4th order Runge-Kutta scheme. CFL conditions involving the effect from the convective term, viscous term, stiff source term and heat transfer are applied to meet the stringent limitation on the time step. Energy equation is coupled with the Navier-Stokes equation when the study of heat transfer is included.