Abstract

Dam is a useful infrastructure for human life. It helps supporting social and economic development. Damages to dams may cause negative impacts such as casualties and destruction. Thus, mitigation for dam related disaster has to be performed. This study uses derivatives of 1D and 2D shallow water wave equations. This equation is based on the principle of mass and momentum conservation. Furthermore, it is discretized using finite difference Forward Time Center Space (FTCS) scheme. Hansen's filter is used to reduce oscillation and maintain the stability of the calculation. The filter serves as an artificial dissipation to filter each point for each time step. Based on the analysis, simulation of 1D dam break using FTCS numerical scheme shows a similar flow pattern to the analytical solution. But, it is not stable and still shows a quite big oscillation. Hansen Filter can significantly reduce oscillation and increase accuracy. However, its application shows a less accurate wavefront and moveable bed situation. Overall it can be concluded that FTCS numerical scheme with numerical filter can be used to solve 2D shallow flow problems such as circular dam break simulation.