Analysis of the hydrostatic approximation in oceanography with compression term

DOI10.1051/m2an:2000154zbMath0978.76101OpenAlexW2082931622MaRDI QIDQ4490021

Roger Lewandowski, Eliseo Chacón Vera, Tómas Chacón-Rebollo

Publication date: 20 September 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197586

zbMATH Keywords

Coriolis forceNavier-Stokes equationsuniquenessoceanographymixed variational formulationexistence theoremhydrostatic approximationfinite element spacesadditional pressure termevolutionary linear problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

On distributions independent of \(x_N\) in certain non-cylindrical domains and a de Rham lemma with a non-local constraint ⋮ A numerical solver for the primitive equations of the ocean using term-by-term stabilization ⋮ Numerical solution of the primitive equations of the ocean by the orthogonal sub-scales VMS method ⋮ Boussinesq equations in three dimensional thin domains and the corresponding two dimensional limit ⋮ Numerical approximation of the Smagorinsky turbulence model applied to the primitive equations of the ocean ⋮ REGULARIZATION BY MONOTONE PERTURBATIONS OF THE HYDROSTATIC APPROXIMATION OF NAVIER–STOKES EQUATIONS ⋮ A reduced discrete inf-sup condition inL^pfor incompressible flows and application ⋮ Bubble finite elements for the primitive equations of the ocean

Cites Work

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• Sur la stabilité et la convergence de la méthode des pas fractionnaires
• On the equations of the large-scale ocean
• Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
• Écoulement engendré par le vent et la force de Coriolis dans un domaine mince: II cas d'évolution
• Etude d'un système stationnaire linéarisé d'équations primitives avec des termes de pression additionnels
• Équations de Navier-Stokes en bassin peu profond: l'approximation hydrostatique

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