APPLICATION OF ONE-DIMENSIONAL NON-HYDROSTATIC DEPTH-INTEGRAL NUMERICAL MODEL FOR FLOOD FLOW TO DAM BREAK FLOWS

Abstract

 This study constructed a new 1D depth-integrated model for dam-break flows. The model used cubic functions for the depth profiles of downstream and vertical velocities. The model also used quadratic functions for the depth profile of pressure. The model used depth-averaged and moment equations as gov-erning equations. The model also handled non-hydrostatic pressure. The upwind and flux difference split-ting methods were used to discretize the governing equations. The Newton-Raphson method was used for the convergence calculation of the non-hydrostatic pressure term. The model was verified with experi-mental results of dam-break flow. The verifications showed that the model can reproduce the experimental dambreak flow results. The numerical results of the model were also compared with the numerical results of the shallow water flow equations. The comparison showed that the model provides improved reproducibility compared to the shallow water flow equation results. The verifications and comparison also showed that the convergence of the model needs to be improved.