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.

A new frequency domain analytical solution of a cascade of diffusive channels for flood routing / Cimorelli, Luigi; Luca, Cozzolino; Renata Della, Morte; Pianese, Domenico; Vijay P., Singh. - In: WATER RESOURCES RESEARCH. - ISSN 0043-1397. - 51:4(2015), pp. 2393-2411. [10.1002/2014WR016192]

A new frequency domain analytical solution of a cascade of diffusive channels for flood routing

CIMORELLI, LUIGI;PIANESE, DOMENICO;
2015

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.
2015
A new frequency domain analytical solution of a cascade of diffusive channels for flood routing / Cimorelli, Luigi; Luca, Cozzolino; Renata Della, Morte; Pianese, Domenico; Vijay P., Singh. - In: WATER RESOURCES RESEARCH. - ISSN 0043-1397. - 51:4(2015), pp. 2393-2411. [10.1002/2014WR016192]
File in questo prodotto:
File Dimensione Formato  
Cimorelli et al. 2015 WRR.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Accesso privato/ristretto
Dimensione 788.4 kB
Formato Adobe PDF
788.4 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/601971
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 15
  • ???jsp.display-item.citation.isi??? 13
social impact