A threshold dynamics method was developed by Merriman, Bence and Osher(MBO) to simulate the motion by mean curvature flow. The method has the advantage of being unconditionally stable and fast with the complexity only O(N logN), where N is the total number of grid points. The method has also been extended to problems with volume preservation. However, the generalization of the MBO type method to wetting problem with interface intersecting the boundary is not obvious because of lack of integral representation with heat kernel for general domain with boundary. We develop an efficient volume preserving threshold dynamics method for wetting on rough surfaces. The method is simple, stable with the complexity N log(N) per time step.

Prof. Wang received his BSc Degree in mathematics from Beijing University in 1984 and his PhD Degree in mathematics from Courant Institute (NYU) in 1990. He was a postdoctoral at MSRI in Berkeley, University of Colorado in Boulder, and a visiting scholar at Princeton University before he came to HKUST. His research interests are: 1) adaptive methods for singular problems; 2) numerical methods for micromagnetics simulations; 3) modeling and simulations of multi-phase flow.