A VOF-FCT Method for Simulating Two-Phase Flows of Immiscible Fluids

概要

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A new numerical method is designed to simulate two-phase flows of two immiscible fluids, based on the concept of a fractional volume of fluid (VOF). An accurate advection scheme for the transport of the volume fraction is designed to trace the interface between fluids, which adopts a proper blending of the upwind and downwind fluxes according to the shape of interface. To acquire a better description of the interface motion, the time accuracy of the scheme is improved by including the cross directional upstream effects. This advection scheme is interlinked with the flux corrected transport (FCT) technique to guarantee the monotonicity in the solution. Together with the interface tracking method, an efficient solution algorithm, of the second order accuracy in time, to the Navier-Stokes equations is also constructed. Numerical tests are conducted for several benchmark problems, which illustrate the accuracy and robustness of the present method.
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