Abstract
This paper reports the successful simulation of St. Vénant's nonlinear distributed model of flood waves in open channels using a much simpler nonlinear lumped conceptual model. The simpler model is composed of a cascade of equal nonlinear storage elements preceded by an element of pure delay. The simpler model depends on four parameters only. The first two terms of the Taylor expansion of the state trajectory are shown to be equivalent to the first two terms of a Volterra convolution series. The accuracy of this quadratic approximation is shown by an example.
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