Quasi-Two Dimensional Modelling of Flood Routing in Rivers and Flood Plains by Means of Storage Cellsby E. Bladé, Civil Engineering Sch, Barcelona, Spain,
M. Gómez, Civil Engineering Sch, Barcelona, Spain,
J. Dolz, Civil Engineering Sch, Barcelona, Spain,
Abstract: A quasi-two dimensional numerical model for flood routing in rivers and flood plains has been developed. In the river, the St Venant equations are integrated using the implicit finite difference Preissmann scheme while the flood plain is modelled by means of storage cells. Mass conservation is imposed at every time step on every cell, using a fully implicit approach between storage cells and the main river. To avoid instabilities detected when water levels in the river and flood plain are very similar, an automatic time step reduction algorithm is implemented. In this way, the advantages of implicit finite difference methods are maintained. Mass conservation is verified and a sensitivity analysis of the different parameters involved is carried out. Finally, the proposed formulation is compared with other commonly used approaches.
Subject Headings: Flood plains | Hydrologic models | Flood routing | Sensitivity analysis | Water storage | Rivers and streams | Mathematical models | Two-dimensional models
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