Abstract
In this paper an attempt is made towards the generalization and summarisation of up-to-date research work in the field of simplified flood routing models derived from the linearized St. Venant equation. The case of a uniform wide-open channel with an arbitrary cross section and friction law is considered. The characteristic equation for deriving the cumulants of the IUH is used, which is applicable only when one boundary condition is active only. Introduced in the paper is a method for evaluation of cumulants which allows the substitution rules for the second-order derivatives of the linearized St. Venant equation under the condition of cumulants equivalence to be formulated. Depending on the number of equivalent cumulants, three kinds of models originating from the St. Venant equation are specified. The families of simplified models belonging to each class are derived using the substitution rules. Examples of applications are given.
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