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A Non-Hydrostatic Non-Dispersive Shallow Water Model

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Advances in Hydroinformatics

Part of the book series: Springer Hydrogeology ((SPRINGERHYDRO))

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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.

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Author information

Authors and Affiliations

  1. Laboratoire J.-A. Dieudonné Parc Valrose, Université de Nice – Sophia Antipolis, Nice, 06108 Nice Cedex 2, France

    Didier Clamond

  2. Université de Savoie, Laboratoire de Mathématiques Appliquées Campus Scientifique, LeBourget-du-Lac Cedex, 73376, France

    Denys Dutykh

Authors
  1. Didier Clamond
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  2. Denys Dutykh
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Corresponding author

Correspondence to Didier Clamond .

Editor information

Editors and Affiliations

  1. University of Nice-Sophia Antipolis, Sophia Antipolis, France

    Philippe Gourbesville

  2. La Tronche, France

    Jean Cunge

  3. Society Hydrotechnique of France, Paris, France

    Guy Caignaert

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Clamond , D., Dutykh, D. (2014). A Non-Hydrostatic Non-Dispersive Shallow Water Model. In: Gourbesville, P., Cunge, J., Caignaert, G. (eds) Advances in Hydroinformatics. Springer Hydrogeology. Springer, Singapore. https://doi.org/10.1007/978-981-4451-42-0_16

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