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Titre du document / Document title

On the effects of downstream boundary conditions on diffusive flood routing

Auteur(s) / Author(s)

WEI-HAO CHUNG ; ALDAMA A. A. ; SMITH J. A. ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

Princeton univ., dep. civil eng. operations res., Princeton NJ 08544, ETATS-UNIS

Résumé / Abstract

The advection-diffusion (AD) equation is widely used to represent flood wave propagation in waterways. Laplace transform methods are employed to obtain the exact solution of a nonhomogeneous AD equation with spatially varied initial condition and time dependent Dirichlet boundary conditions. Numerical inversion of the Laplace transform is employed to solve the AD equation with Neumann and Robin boundary conditions specified at the downstream end of a finite reach of channel. The Neumann boundary condition is specified by the assumption that water level remains constant at the downstream boundary, that is, by a mass conservation version. This is a special case of the general condition that is obtained by plugging a steady rating curve into the continuity equation

Revue / Journal Title

Advances in water resources    ISSN  0309-1708   CODEN AWREDI 

Source / Source

1993, vol. 16, no5, pp. 259-275 (24 ref.)

Langue / Language

Anglais

Editeur / Publisher

Elsevier, Kidlington, ROYAUME-UNI  (1977) (Revue)

Mots-clés anglais / English Keywords

one-dimensional models

;

floods

;

boundary conditions

;

diffusion

;

advection

;

equations

;

Laplace transformations

;

finite element analysis

;

river discharge

;

hydrographs

;

Mots-clés français / French Keywords

Modèle 1 dimension

;

Crue

;

Condition aux limites

;

Diffusion

;

Advection

;

Equation mathématique

;

Transformation Laplace

;

Méthode élément fini

;

Débit rivière

;

Hydrogramme

;

Mots-clés espagnols / Spanish Keywords

Modelo 1 dimensión

;

Crecida

;

Condiciones límites

;

Difusión

;

Ecuación matemática

;

Transformación Laplace

;

Método elemento finito

;

Caudal río

;

Hidrograma

;

Localisation / Location

INIST-CNRS, Cote INIST : 19264, 35400002508548.0010

Nº notice refdoc (ud4) : 3926204



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