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Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2016

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

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.
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Dates and versions

hal-01185255 , version 1 (19-08-2015)

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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⟩
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