Application of numerical filter to a Taylor Galerkin finite element model for movable bed dam break flows

Abstract

The dam break-induced propagation over a movable bed has given strong interest in numerical modeling. The shock wave, generally found in the wavefront, is a challenge in numerical modeling since this condition often leads to numerical instability. Additionally, the scouring beneath the wave requires coupling of hydraulic and sediment transport models. The objective of this research is to develop a one-dimensional model based on a finite element method to simulate an experimental case of a dam break-induced flow and the bed scouring beneath it. The two-step Taylor Galerkin scheme is used to solve the governing equations. In addition, Hansen numerical filter is used to handle shock wave and to increase the numerical stability of the developed model. The results show good agreement to the experimental data. Additionally, the applied numerical filter is able to reduce oscillation and improve the stability of the model.