Skip to Main content Skip to Navigation
New interface
Journal articles

About Interface Conditions for Coupling Hydrostatic and Nonhydrostatic Navier-Stokes Flows

Eric Blayo 1 Antoine Rousseau 2, 3 
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
Inria Grenoble - Rhône-Alpes, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, UGA [2016-2019] - Université Grenoble Alpes [2016-2019], LJK - Laboratoire Jean Kuntzmann
2 LEMON - Littoral, Environment: MOdels and Numerics
CRISAM - Inria Sophia Antipolis - Méditerranée , IMAG - Institut Montpelliérain Alexander Grothendieck, HSM - Hydrosciences Montpellier
Abstract : In this work we are interested in the search of interface conditions to couple hydrostatic and nonhydrostatic ocean models. To this aim, we consider simplified systems and use a time discretization to handle linear equations. We recall the links between the two models (with the particular role of the aspect ratio δ = H/L 1) and introduce an iterative method based on the Schwarz algorithm (widely used in domain decomposition methods). The convergence of this method depends strongly on the choice of interface conditions: this is why we look for exact absorbing conditions and their approximations in order to provide tractable and efficient coupling algorithms.
Document type :
Journal articles
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download
Contributor : Antoine Rousseau Connect in order to contact the contributor
Submitted on : Wednesday, August 19, 2015 - 4:04:47 PM
Last modification on : Friday, August 5, 2022 - 10:51:41 AM
Long-term archiving on: : Friday, November 20, 2015 - 10:51:31 AM


Files produced by the author(s)



Eric Blayo, Antoine Rousseau. About Interface Conditions for Coupling Hydrostatic and Nonhydrostatic Navier-Stokes Flows. Discrete and Continuous Dynamical Systems - Series S, 2016, 9 (5), pp.1565-1574. ⟨10.3934/dcdss.2016063⟩. ⟨hal-01185255⟩



Record views


Files downloads