Development of One Dimensional Implicit Dynamic Wave Model

Abstract

This study has an objective to develop one dimensional implicit dynamic wave model. The model is named the dynamic Wave model (DYMWAV) that can be used to simulate one dimensional unsteady flow situation with backwater and tidal effects. The fundamental equations of the DYMWAV model are the Saint-Venant equations which are the nonlinear partial differential equations. The equations are solved by using the implicit weighted four points finite difference, and the Newton Raphson's method is used to slove the nonlinear equations. The DYMWAV model was applied to the Upper Ping River Basin to investigate the model performance for the flow situations effected by backwater . The results showed that the DYMWAV  model was then simulated these flow situations satisfactorily. The performance of the DYMWAV model was then compared with the performance of the MIKE 11 Hydrodynamic model (MIKE 11 HD). This was carried out by applying the MIKe 11 HD model on the same case study as applied to the DYMWAV model. The simulation results from the two models showed very well corresponding flow characteristic.