A STUDY OF DG METHOD FOR FREE SURFACE FLOW PROBLEM BASED ON INTERFACE CAPTURING APPROACH

Abstract

This paper presents the discontinuous Galerkin method for advection equation of free-surface flow analysis based on interface capturing approach. The discontinuous Galerkin method applied to the advection equation that the governing equation of the interface function of VOF method. Results obtained by linear DG method was compared with the result of continuous Galerkin method based on stabilized finite element method. As for the numerical example to verify the present method, the rotating square hill problem and broken-dam problem was carried out. It was concluded that the present method can obtain good mass conservation.