دانلود رایگان مقاله شبیه سازی عددی بر اساس طرح تفاضل محدود NND برای معادلات موج آب کم عمق

Abstract

In this study, a numerical model based on the non-oscillatory and non-free parameter dissipation (NND) finite difference scheme for shallow water wave equations including sediment concentration is established in order to simulate the phenomena for dam-break flow and the development of alluvial plain in an estuary. Some numerical experiments show that the numerical model is feasible and efficient for simulating the phenomena for dam-break flow and the development of alluvial plain in an estuary.

4. Conclusions and discussions

In the current research, we established the numerical model based on NNDFDS for 2D SWEs including sediment concentration. We presented two numerical examples to illustrate that the numerical model based on NNDFDS is very effective for finding the numerical solutions of SWEs including sediment concentration. The numerical model based on NNDFDS can capture shock wave better than previous methods such as the numerical models in [19,22] and can also simulate the status of sediment transport and the development of alluvial plain in an estuary. Especially, the numerical model based on NNDFDS for 2D SWEs including sediment concentration is completely different from existing numerical models for SWEs (see, e.g., [3–22,27]) and is an improvement and development for these existing numerical models. Future research work in this area will aim at extending the NNDFDS, applying it to simulating more real-life problems such as the tidal flows in an estuary and coastal water regions, the bore wave propagation, and the stationary hydraulic jump and river.