Green’s Function of the Linearized de Saint-Venant Equations
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VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 132, Issue 2
Abstract
We derive and discuss the Green’s function of the linearized de Saint-Venant equations (LSVEs) for shallow water waves in channels and rivers. The analysis offers a unified description of previous results on LSVEs regarding, in particular, the existence of three simple linear waves whose interplay determines all the evolution of the solution, the role of the Froude number in all its range of variability (both in subcritical and supercritical conditions), and the physical reason of the instability for and its convective nature.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 2 • February 2006
Pages: 125 - 132
Copyright
© 2006 ASCE.
History
Received: Oct 5, 2004
Accepted: Apr 14, 2005
Published online: Feb 1, 2006
Published in print: Feb 2006
Notes
Note. Associate Editor: Nikolaos D. Katopodes
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