Numerical Simulation On Supercritical Flow At River Bend

The study on bend flow, which plays an important role in hydraulic engineering, is widely used in river regulation project, harbor construction, water diversion and sediment prevention, anti-scour of bridge pier, and improvement of river navigation. Numerical simulation on supercritical flow at river bend can provide bases for engineering design and safe evaluation. Based on review of former research, a finite difference model (FDM) based on MacCormack scheme for structural grids was established for calculating velocity, water level, and shock waves. Case study shows that, instead of dissipation of discontinuity and numerical oscillation, the model can capture discontinuity and eliminate spurious numerical oscillation. The model simulates the velocity and water level in riverside overflow spillway, and the emergence, development, and other dynamic characteristics of shock waves. With results close to the real situations, the model well simulates the supercritical flow at river bend, which provides theoretical bases for further research.