A Preliminary Study On Extended Shallow Water Equations And Its Application

Numerical models are frequently used to simulate water flow in hydraulic engineering. Shallow water equations are basic governing equations with assumption of the velocity distribution uniformly in vertical, so they have some limitations on the simulation of some plane flows, such as wind-induced flow, curve river flow and flow nearby the submerged dikes.For above-mentioned reasons, Extended shallow water equations are developed by introduction of momentum coefficient, correction of convection and bed resistance in equations of motion. One extended shallow water equations for submerged dike are researched emphatically.Based on the extended shallow water equations, numerical model is established. Verifications and comparison are done to verify its validity by the flume experiment with submerged dike. Results show that the computed water level and velocity accord well with experiment, it is effective for flow simulation of such case.Finally, in orthogonal curvilinear coordinate systems numerical model is established and applied in the Yangtze river estuary in which some regulation plans are taken include submerged jets and groins. Verifications are also done to verify water level and velocity. Flow fields are computed for the analysis of effect of regulation engineering on the whole water area. Results show that the computed water level and velocity accord well with measurements, the flow module nearby the submerged dikes obeys the law of hydraulics satisfactorily.