Shallow water equations for large bathymetry variations

Denys Dutykh; Didier Clamond

doi:10.1088/1751-8113/44/33/332001

Shallow water equations for large bathymetry variations

Denys Dutykh
, Didier Clamond

Mathematics

Sophia Antipolis

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 spatial 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.

Original language	British English
Article number	332001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	44
Issue number	33
DOIs	https://doi.org/10.1088/1751-8113/44/33/332001
State	Published - 19 Aug 2011

Access to Document

10.1088/1751-8113/44/33/332001

Cite this

@article{8d4a9539cb404d0fb6e64a5739440040,

title = "Shallow water equations for large bathymetry variations",

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 spatial 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.",

author = "Denys Dutykh and Didier Clamond",

year = "2011",

month = aug,

day = "19",

doi = "10.1088/1751-8113/44/33/332001",

language = "British English",

volume = "44",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "33",

}

TY - JOUR

T1 - Shallow water equations for large bathymetry variations

AU - Dutykh, Denys

AU - Clamond, Didier

PY - 2011/8/19

Y1 - 2011/8/19

N2 - 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 spatial 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.

AB - 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 spatial 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.

UR - https://www.scopus.com/pages/publications/80051538047

U2 - 10.1088/1751-8113/44/33/332001

DO - 10.1088/1751-8113/44/33/332001

M3 - Article

AN - SCOPUS:80051538047

SN - 1751-8113

VL - 44

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 33

M1 - 332001

ER -

Shallow water equations for large bathymetry variations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this