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Physics > Classical Physics

arXiv:1103.5292 (physics)
[Submitted on 28 Mar 2011 (v1), last revised 6 Jul 2011 (this version, v3)]

Title:Shallow water equations for large bathymetry variations

Authors:Denys Dutykh (LAMA), Didier Clamond (JAD)
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Abstract:In this study, we propose an improved version of the nonlinear shallow water (or Saint-Venant) equations. This new model is designed to take into account the effects resulting from the large spacial and/or temporal variations of the seabed. The model is derived from a variational principle by choosing the appropriate shallow water ansatz and imposing suitable constraints. Thus, the derivation procedure does not explicitly involve any small parameter.
Comments: 7 pages. Other author's papers can be downloaded at this http URL
Subjects: Classical Physics (physics.class-ph); Analysis of PDEs (math.AP); Exactly Solvable and Integrable Systems (nlin.SI); Atmospheric and Oceanic Physics (physics.ao-ph); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1103.5292 [physics.class-ph]
  (or arXiv:1103.5292v3 [physics.class-ph] for this version)
  https://doi.org/10.48550/arXiv.1103.5292
Journal reference: Journal of Physics A: Mathematical and Theoretical (2011), Vol. 44, Number 33, p. 332001
Related DOI: https://doi.org/10.1088/1751-8113/44/33/332001

Submission history

From: Denys Dutykh [view email] [via CCSD proxy]
[v1] Mon, 28 Mar 2011 07:31:52 UTC (9 KB)
[v2] Wed, 30 Mar 2011 11:49:25 UTC (9 KB)
[v3] Wed, 6 Jul 2011 14:03:36 UTC (9 KB)
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