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Reverse flow routing problem solved by the space-time conservation method

Weinerowska K.

Archives of Hydro-Engineering and Environmental Mechanics

2002

Vol. 49, nr 1

83-105

In the paper, the problem of reverse flow routing (RFR) is examined. The case of gradually varied unsteady flow in an open channel described by the Saint Venant system of equations is considered. The specific difficulties connected with solving the inverse problem are studied and the efficient solution algorithm, based on Space-Time Conservation Method (STC) is presented. The most important features of the proposed scheme are local and global mass conservation and high accuracy, that are of special importance in the case of the reverse flow routing problem. Additionally, the distinguishing feature of the scheme is space and time unification and treating them on the same footing. The way of constructing the computational grid and achieving the final approximation formulas are described in detail. Stability and accuracy analysis, and the numerical examples confirming the good features of the scheme, are developed. Good conformity between the results obtained and required is observed.