Green's function of the linearized de Saint-Venant equations

Published

Journal Article

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 (F) in all its range of variability (both in subcritical and supercritical conditions), and the physical reason of the instability for F>2 and its convective nature. © 2006 ASCE.

Full Text

Duke Authors

Cited Authors

  • Ridolfi, L; Porporato, A; Revelli, R

Published Date

  • February 1, 2006

Published In

Volume / Issue

  • 132 / 2

Start / End Page

  • 125 - 132

International Standard Serial Number (ISSN)

  • 0733-9399

Digital Object Identifier (DOI)

  • 10.1061/(ASCE)0733-9399(2006)132:2(125)

Citation Source

  • Scopus