A Non-Hydrostatic Non-Dispersive Shallow Water Model

D. Clamond; D. Dutykh

doi:10.1007/978-981-4451-42-0_16

2014

A Non-Hydrostatic Non-Dispersive Shallow Water Model

A

D. Clamond and D. Dutykh

In Advances in Hydroinformatics: SIMHYDRO 2012 — New Frontiers of Simulation, edited by Ph. Goubersville, J. Cunge, G. Caignaert, Springer Hydrogeology, pp. 197–206, Springer, Singapore, 2014.

Full Text Publisher Version DOI

Abstract

An improvement of the nonlinear shallow water (or Saint-Venant) equations is proposed. The 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.

Keywords

Varying bathymetrySteep bottomModified Saint-Venant equations.

Bibliographic record

Book: Advances in Hydroinformatics: SIMHYDRO 2012 — New Frontiers of Simulation

Editors: Ph. Goubersville, J. Cunge, G. Caignaert

Series: Springer Hydrogeology

Pages: 197–206

Publisher: Springer, Singapore

DOI: 10.1007/978-981-4451-42-0_16

ISBN (print): 978-981-4451-41-3

ISBN (online): 978-981-4451-42-0

Full text: hal.archives-ouvertes.fr/hal-00907110

BibTeX Citation

@incollection{Clamond_2014_a_nonhydrostatic_nondispersive,
  title = {A Non-Hydrostatic Non-Dispersive Shallow Water Model},
  author = {Clamond, D. and Dutykh, D.},
  booktitle = {Advances in Hydroinformatics: SIMHYDRO 2012 — New Frontiers of Simulation},
  editor = {Goubersville, Ph. and Cunge, J. and Caignaert, G.},
  publisher = {Springer},
  year = {2014},
  pages = {197--206},
  doi = {10.1007/978-981-4451-42-0_16},
  url = {https://hal.archives-ouvertes.fr/hal-00907110/},
  series = {Springer Hydrogeology},
  isbn = {978-981-4451-41-3},
  keywords = {Varying bathymetry, Steep bottom, Modified Saint-Venant equations.}
}