2-D dam-break wave simulation

Dam-break wave has been an important research topic for centuries. Both experiments and numerical simulation are used in modeling this very specific and difficult phenomena. This paper presents a MacCormack type scheme for the computation of two dimensional dam-break flows. The widely used MacCormack scheme is modified in order to avoid the nonphysical oscillation in the vicinity of the wave front with strong gradient in the numerical solution. To simulate dam-break wave moving on real ground, a simple but effective scheme is designed to treat the uneven topography. Example computations show that the model is robust in modeling dam-break wave traveling in the real ground.