Abstract
Landslide mass flowing into a reservoir causes a giant wave that runs up until high altitude on the steep slope and generates water breaking of high wave height with high speed. This giant wave brings greatly serious disasters and the establishment of prediction method of water wave is expected. This paper discusses a numerical method which is the guarantee of mass conservation and is the restrain of numerical oscillation due to the discretization of convection term for shallow water equations by using stabilized finite element method. The presented scheme uses the mass conservation equation expressing directly the water altitude for governing equation. Analytical scheme introduces the retainment of mass conservation by using the integrated CIVA method and the shock-capturing term resulting from the securement of second-order accuracy. The presented analysis method is applicable for water waves analysis containing the moving boundary on the steep slope and confirms the utility in comparison with model analysis.
