Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 7 of 7 for “"Quasi-geostrophic equations"”.
-
Finite Elements for the Quasi-Geostrophic Equations of the Ocean
The quasi-geostrophic equations (QGE) are usually discretized in space by the finite difference method. The finite element (FE) method, however, offers several advantages over the finite difference method, such as the easy treatment of complex boundaries and a natural treatment of boundary …
-
Regularity of Solution Maps of the Generalized Surface Quasi-Geostrophic Equations
… In Chapter 2 we drive generalized SQG equations as Euler-Arnold equations. Chapter 3, we establish analyticity of the exponential map associated to the generalized SQG equations. In Chapter 4, we establish that the Eulerian data-to-solution map for the generalized SQG equations fails to …
-
A Two-Level Method For The Steady-State Quasigeostrophic Equation
The quasi-geostrophic equations (QGE) are a model of large-scale ocean flows. We consider a pure stream function formulation and cite results for optimal error estimates for finding approximate solutions with the finite element method. We examine both the time dependent and steady-state versions of …
-
Stochastic hypodissipative hydrodynamic equations: well-posedness, stationary solutions and ergodicity
… and long-time behaviours of stochastic equations from fluid dynamics. More precisely, we consider the following topics:<br /> 1. We study the well-posedness of both deterministic and anisotropic 2D Navier–Stokes equations. For the deterministic case, we prove the global well-posedness of …
-
Global omega equation: derivation and application to tropical cyclogenesis in the north Atlantic Ocean
The quasi-geostrophic omega equation has been used extensively to examine the large-scale vertical velocity patterns of atmospheric systems. It is derived from the quasi-geostrophic equations, a balanced set of equations based on the partitioning of the horizontal wind into a geostrophic and an …
-
Data-Driven Variational Multiscale Reduced Order Modeling of Turbulent Flows
… $Re=100$, $Re=500$, and $Re=1000$; (iii) the quasi-geostrophic equations at Reynolds number $Re=450$ and Rossby number $Ro=0.0036$; and (iv) a 2D flow over a backward facing step at Reynolds number $Re=1000$. The numerical results show that the data-driven VMS-ROM is significantly more …
-
Thermocline Circulation Driven at Surface Outcrops of Isopycnal Surfaces
… seasonal movement of the isopycnal outcrops and geostrophic turbulence.</p> <p>A constant layer depth model, forced by the above flux condition, is used to study its influence on the interior circulation. The impermeability theorem of Haynes and McIntyre (1987), justifies treatment of a single …