Analytical Solution of the Classical Dam-Break Problem for the Gravity Wave–Model Equations
Publication: Journal of Hydraulic Engineering
Volume 142, Issue 5
Abstract
Saint-Venant Equations (SVE) are often simplified for the sake of practicality, faster computational times, or physical representation. The Gravity Wave Model (GWM), or Local Inertial Equations, is a simplification of the SVE whereby the convective terms are neglected. The aim of this work is to present an analytical solution for the dam-break problem based on the GWM set of equations without source terms using the method of characteristics (MOC) and compare it with the analytical solution of SVE. The formulas for the depth and velocity are derived and explained along with the wave propagation characteristics. Conclusions are drawn about the propagation and analytical solution.
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Published In
Journal of Hydraulic Engineering
Volume 142 • Issue 5 • May 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Aug 28, 2014
Accepted: Oct 21, 2015
Published online: Feb 18, 2016
Published in print: May 1, 2016
Discussion open until: Jul 18, 2016
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