Numerical Simulations of a Two-Layer Quasi-Geostrophic Equation of the Ocean

DOI10.1137/S0036142998349096zbMath0977.76064OpenAlexW2010229575MaRDI QIDQ4509666

Theodore Tachim-Medjo

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142998349096

zbMATH Keywords

unconditional stabilitytime integrationfinite difference schemeslarge-scale oceanwind forcetwo-layer quasi-geostrophic modelstreamfunction-potential vorticity formulation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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A \(C^1\) virtual element method for the stationary quasi-geostrophic equations of the ocean ⋮ Numerical study of a regularized barotropic vorticity model of geophysical flow ⋮ A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes ⋮ Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow ⋮ A novel dynamic framework for subgrid scale parametrization of mesoscale eddies in quasigeostrophic turbulent flows ⋮ A priori and a posteriori error analysis for a large-scale ocean circulation finite element model. ⋮ A finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the Ocean ⋮ Numerical solutions of a robust control problem associated with the quasi-geostrophic equation of the ocean ⋮ \(C^0\)-discontinuous Galerkin methods for a wind-driven ocean circulation model: two-grid algorithm

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