Abstract
A nonlinear mathematical model for the propagation of tides in interlacing channels is presented. The problem is solved with the help of a high speed digital computer using the explicit finite difference method with leap-frog operator. A grid scheme is developed to simulate the propagation of tides in the confluences of the channels. It is shown that the new grid scheme can incorporate any number of junctions of a single river as well as the junction of any number of tidal rivers. The model is studied both for the proving stage as well as for application to the interaction between the incoming tide from the downstream end and abnormal freshet discharges from the upward ends of the different tributaries. It is shown that the computational results are in good agreement with the data observed in the model.
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