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An implicit finite-element model for 3D non-hydrostatic mesoscale ocean flows
Maidana, Manuel Augusto; Blasco Lorente, Jorge; Espino Infantes, Manuel
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
We present in this paper a pressure stabilized, finite element method for the numerical approximation of three-dimensional, non-hydrostatic mesoscale ocean flows. The model considered here incorporates surface wind stress, bottom friction and Coriolis acceleration, and it is applicable to irregular bottom topographies. An implicit unconditionally stable scheme is employed for the time advancement and an anisotropic stabilization technique is used for the spatial finite element discretization. The numerical results obtained on test cases demonstrate the robustness and accuracy of the method proposed here.
Fluid mechanics
Partial differential equations
implicit finite-element model
Vorticitat -- Teoria
Equacions en derivades parcials
Problemes de contorn
Classificació AMS::65 Numerical analysis::65N Partial differential equations, boundary value problems
Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
Attribution-NonCommercial-NoDerivs 2.5 Spain

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