A new frequency domain analytical solution of a cascade of diffusive channels for flood routing
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
AGU Publications
Abstract
Simplified flood propagation models are often employed in practical applications for hydraulic
and hydrologic analyses. In this paper, we present a new numerical method for the solution of the Linear
Parabolic Approximation (LPA) of the De Saint Venant equations (DSVEs), accounting for the space variation
of model parameters and the imposition of appropriate downstream boundary conditions. The new model
is based on the analytical solution of a cascade of linear diffusive channels in the Laplace Transform domain.
The time domain solutions are obtained using a Fourier series approximation of the Laplace Inversion formula.
The new Inverse Laplace Transform Diffusive Flood Routing model (ILTDFR) can be used as a building
block for the construction of real-time flood forecasting models or in optimization models, because it is
unconditionally stable and allows fast and fairly precise computation.
Description
Keywords
Diffusive cascade model, Diffusive flood routing, Simplified river modeling
Citation
Cimorelli, L., L. Cozzolino, R. Della Morte, D. Pianese, and V. P. Singh (2015), A new frequency domain analytical solution of a cascade of diffusive channels for flood routing, Water Resour. Res., 51, 2393–2411, doi:10.1002/ 2014WR016192.