Wave Equation and Some Solutions on Intermittent Debris flow

Abstract

Intermittent surges of debris flows are frequently observed in mountain regions. This type of flow is considered to be characterized by developing roll waves (surges) due to flow instabilities and by weak sediment concentrations. For an understanding of fluctuation of the flow depth, wave equations are needed. It was presented a wave equation of roll waves based on shallow water momentum equation, and analytical solution on an initial and boundary condition and some numerical solutions were shown in this paper. These results show an improved understanding of the phenomena of intermittent debris flow.