Open AccessAbout interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows
Author(s) -
Éric Blayo,
Antoine Rousseau
Publication year - 2016
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2016063
Subject(s) - discretization , coupling (piping) , interface (matter) , domain decomposition methods , convergence (economics) , hydrostatic equilibrium , mathematics , work (physics) , computer science , navier–stokes equations , mathematical optimization , finite element method , mechanics , physics , mathematical analysis , parallel computing , thermodynamics , compressibility , mechanical engineering , engineering , bubble , quantum mechanics , maximum bubble pressure method , economics , economic growth
International audienceIn 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