Comparison of Taylor Galerkin and FTCS models for dam-break simulation

Abstract

The aim of this paper is to compare the ability of two numerical models to simulate two-dimensional dam-break flows. Dam-break modelling is important in reducing the high-risk of dam failure by determining the water flow movement and its effect on buildings downstream. In this study, the Taylor Galerkin and Forward Time Central Space method is presented to simulate 2-D dam-break flow. The Hansen filter is applied to both methods to reduce numerical instability oscillations in the model. The filters were used for each time step at each computing point. The model is verified by comparing the result simulation with numerical results from previous studies. The result show that Taylor Galerkin numerical scheme with Hansen filter is successful to simulate the problem of 2-D dam-break. Also, the Taylor Galerkin model has better results than the FTCS model. Studies like this are needed for mitigation efforts in the event of dam failure.

2D Numerical Model of Sediment Transport Under Dam-break Flow Using Finite Element

“…Zendrato [22] also shows that the Taylor Galerkin model gives more accurate results than the finite-difference model. The Taylor Galerkin model also successfully simulated a 2D dam-break flow on a non-erodible bed [28]. In the present study, the Taylor Galerkin model was used to simulate the dam-break flow along with the sediment transport that occurs.…”

“…To reduce numerical oscillations on the Taylor Galerkin model, a numerical filter by Hansen was applied. The filter has been used successfully in some previous studies [15], [28], [29]. This paper aims to report the performance of the Taylor Galerkin model in simulating the dam-break flow with sediment transport over a movable bed either in onedimensional or two-dimensional.…”