Skip to Main content Skip to Navigation
Reports

Variational approach for the multiscale modeling of an estuarian river. Part 1 : Derivation and numerical approximation of a 2D horizontal model

Mohamed Amara 1 Daniela Capatina 2, 1 David Trujillo 1, 2
2 CONCHA - Complex Flow Simulation Codes based on High-order and Adaptive methods
Inria Bordeaux - Sud-Ouest, UPPA - Université de Pau et des Pays de l'Adour, CNRS - Centre National de la Recherche Scientifique : UMR5142
Abstract : The paper is devoted to the 2D hydrodynamical modeling and numerical approximation of an estuarian river flow. A new 2D horizontal model is derived and analyzed as a conforming approximation of the 3D time-discretized problem. It provides the three-dimensional velocity field as well as the pressure, which remains an unknown of the problem. Thanks to the framework of weak formulations, we avoid any closure problem usually encountered in the shallow water system and we can next employ finite elements for the approximation of the 2D model. The discrete problem is shown to be well-posed and finally, numerical tests are presented. The developed code is validated by means of comparisons with the classical shallow water model as well as with measured data.
Document type :
Reports
Complete list of metadatas

Cited literature [10 references]  Display  Hide  Download

https://hal.inria.fr/inria-00342858
Contributor : David Trujillo <>
Submitted on : Friday, November 28, 2008 - 3:08:14 PM
Last modification on : Thursday, March 5, 2020 - 7:19:12 PM
Long-term archiving on: : Thursday, October 11, 2012 - 12:10:58 PM

File

RR-6742.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00342858, version 1

Collections

Citation

Mohamed Amara, Daniela Capatina, David Trujillo. Variational approach for the multiscale modeling of an estuarian river. Part 1 : Derivation and numerical approximation of a 2D horizontal model. [Research Report] RR-6742, INRIA. 2008, pp.30. ⟨inria-00342858⟩

Share

Metrics

Record views

718

Files downloads

525