Experimental and Numerical Flow Simulation over Weirs

Abstract—This paper reports a series of experimental studies done to simulate the flow behavior over crump and ogee type of weirs. The transition of subcritical to supercritical flow, as it moves over weir crest is experimentally simulated. The steady state centreline water surface elevations for several discharge values are measured and noted for both the weirs. Moreover, another numerical model is also developed for the same purpose. In this regard, the shallow water equations in a deviatoric version are solved with an efficient and simple finite difference method. The numerical results obtained are found to be almost exactly matching with the experimental results. The quality of the numerical results are further tested with the help of two indicators namely, Nash indicator and Index of Agreement. The excellent values for these two parameters establish the potential of the proposed model for this type of mixed flow scenarios.