An exact solution for ideal dam-break floods on steep slopes

Water Resources Research
By: , and 

Links

Abstract

The shallow‐water equations are used to model the flow resulting from the sudden release of a finite volume of frictionless, incompressible fluid down a uniform slope of arbitrary inclination. The hodograph transformation and Riemann's method make it possible to transform the governing equations into a linear system and then deduce an exact analytical solution expressed in terms of readily evaluated integrals. Although the solution treats an idealized case never strictly realized in nature, it is uniquely well‐suited for testing the robustness and accuracy of numerical models used to model shallow‐water flows on steep slopes.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title An exact solution for ideal dam-break floods on steep slopes
Series title Water Resources Research
DOI 10.1029/2007WR006353
Volume 44
Issue 1
Year Published 2008
Language English
Publisher AGU
Contributing office(s) Volcano Hazards Program, Volcano Science Center
Description W01430