A free surface sharpening strategy using optimization method

VOF method which consists in transporting a discontinuous marker variable is widely used to capture the free surface in computational fluid dynamics. There is numerical dissipation in simulations involving the transport of the marker. Numerical dissipation makes the free surface lose its physical nature. A free surface sharpening strategy based on optimization method is presented in the paper. The strategy can keep the location of the free surface and local mass conservation at both time, and can also keep free surface in a constant width. It is independent on the types of solvers and meshes. Two famous cases were chosen for verifying the free surface sharpening strategy performance. Results show that the strategy has a very good performance on keeping local mass conservation. The efficiency of prediction of the free surface is improved by applying the strategy. Accurate modeling of flow details such as drops can also be captured by this method.