A VOF method based on unstructured adaptive grid

In order to improve the accuracy and capture the sharp interface, a VOF method based on unstructured adaptive grid is proposed in this paper. The VOF function is regarded as the criteria to adaptively refine the interface cell. Then the interface is reconstructed using the VOF method on unstructured grid. The advantage of this method is that the re-generation of the whole grid system is not necessary, so its implementation is very efficient. Moreover, the proposed method was performed to simulate an advection case of a hollow square. The relative shape error of the result obtained by adaptive mesh is smaller than that by non-refined grid.