Green's function of the linearized de Saint-Venant equations
Publication
, Journal Article
Ridolfi, L; Porporato, A; Revelli, R
Published in: Journal of Engineering Mechanics
February 1, 2006
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.
Duke Scholars
Published In
Journal of Engineering Mechanics
DOI
ISSN
0733-9399
Publication Date
February 1, 2006
Volume
132
Issue
2
Start / End Page
125 / 132
Related Subject Headings
- Civil Engineering
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
Citation
APA
Chicago
ICMJE
MLA
NLM
Ridolfi, L., Porporato, A., & Revelli, R. (2006). Green's function of the linearized de Saint-Venant equations. Journal of Engineering Mechanics, 132(2), 125–132. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:2(125)
Ridolfi, L., A. Porporato, and R. Revelli. “Green's function of the linearized de Saint-Venant equations.” Journal of Engineering Mechanics 132, no. 2 (February 1, 2006): 125–32. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:2(125).
Ridolfi L, Porporato A, Revelli R. Green's function of the linearized de Saint-Venant equations. Journal of Engineering Mechanics. 2006 Feb 1;132(2):125–32.
Ridolfi, L., et al. “Green's function of the linearized de Saint-Venant equations.” Journal of Engineering Mechanics, vol. 132, no. 2, Feb. 2006, pp. 125–32. Scopus, doi:10.1061/(ASCE)0733-9399(2006)132:2(125).
Ridolfi L, Porporato A, Revelli R. Green's function of the linearized de Saint-Venant equations. Journal of Engineering Mechanics. 2006 Feb 1;132(2):125–132.
Published In
Journal of Engineering Mechanics
DOI
ISSN
0733-9399
Publication Date
February 1, 2006
Volume
132
Issue
2
Start / End Page
125 / 132
Related Subject Headings
- Civil Engineering
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering