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The Equations of Oceanic Motions has two primarily pedagogical aims: to establish rigorously the equations of oceanic motions, including the equilibrium thermodynamics of seawater and the molecular tr...
Some Eulerian-Scale Analysis Results：Eddy Terms in the Mean Heat, Momentum and Vorticity Equations
Eulerian-Scale Analysis Results Eddy Terms Mean Heat Vorticity Equations
2009/2/18
The question of the importance of mesoscale motions in the long time averaged ocean circulation is examined from the viewpoint offered by Eulerian scale estimates of the magnitudes of the explicit edd...
A multiple-scale approach is used to develop the quasi-geostrophic dynamics for synoptic oceanic scales This new approach allows the buoyancy frequency N and the Coriolis parameter f to be slowly vary...
Eastern Boundary Conditions and Weak Solutions of the Ideal Thermocline Equations
Boundary Conditions Weak Solutions Ideal Thermocline Equations
2009/1/13
It is argued that the ideal fluid thermocline equations have “weak” (i.e., nondifferentiable) solutions that satisfy no mass-flux boundary conditions at the East. This conclusion is based on a local a...
An Optimal-Control/Adjoint-Equations Approach to Studying the Oceanic General Circulation
Optimal-Control/Adjoint-Equations oceanographic observations Oceanic General Circulation
2009/1/4
An efficient procedure is presented for analyzing oceanographic observations with the aid of a general circulation model. Poorly known model parameters, such as eddy-mixing coefficients, surface forci...
Balance Equations Based on Momentum Equations with Global Invariants of Potential Enstrophy and Energy
balance equations Momentum Equations Potential Enstrophy
2008/12/23
An approximate model for small Rossby number that is close to the balance equations (BE) but that is based on approximate momentum equations is formulated for a rotating, continuously stratified flui...
Inverse Modeling of the Action-Balance Equation. Part I：Source Expansion and Adjoint-Model Equations
Inverse Modeling Action-Balance Equation Source Expansion Adjoint-Model Equations
2008/12/23
In this paper a series of numerical experiments is defined to explore the inverse modeling of the action-balance equation governing the evolution of the surface gravity wave field, using the adjoint d...
Quasi-linear Eddy-Viscosity Model for the Flux of Energy and Momentum to Wind Waves Using Conservation-Law Equations in a Curvilinear Coordinate System
Curvilinear Coordinate System Quasi-linear Eddy-Viscosity Model
2008/12/22
The airflow above ocean waves is calculated using a quasi-linear model—one in which the effect of the waves on the mean flow is taken into account. The model uses curvilinear coordinates, in which one...
Two-Layer Geostrophic Dynamics. Part I：Governing Equations
Governing Equations Two-Layer Geostrophic Dynamics
2008/12/22
Although the quasigeostrophic formalism has been a cornerstone in oceanographic modeling for over four decades, studies have shown time and time again that other geostrophic, but non-quasigeostrophic,...
Diapycnal Mixing in the Ocean：Equations for Large-Scale Budgets
Diapycnal Mixing Large-Scale Budgets Osborn–Cox model
2008/12/15
The Osborn–Cox model is the basis for the most direct estimates of the diapycnal diffusivity Kv for tracers. When used to interpret temperature variance dissipation measurements, it leads to Kv of O (...
Seasonal Heat Transport in a Primitive Equations Model of the Tropical Indian Ocean
Seasonal Heat Transport Tropical Indian Ocean Primitive Equations Model
2008/12/11
This work analyses seasonal heat transport in an ocean-only numerical simulation of the Indian Ocean forced by realistic seasonal winds and surface heat fluxes north of 15°S, assuming no Indonesian Th...
The Temporal-Residual-Mean Velocity. Part I：Derivation and the Scalar Conservation Equations
temporal-residual-mean Scalar Conservation Equations eddy fluxes
2008/12/11
The time-averaged density conservation equation in z coordinates contains a forcing term that is the divergence of the transient eddy fluxes. These fluxes are due to the temporal correlation between t...
Diagnosing Ocean Unstable Baroclinic Waves and Meanders Using the Quasigeostrophic Equations and Q-Vector Method
baroclinic waves wave growth rate
2008/11/18
A three-dimensional, primitive equation model is applied to the ocean mesoscale eddies and unstable baroclinic waves across a density front in a channel under a very low viscosity environment. Current...
Analytical Solutions for Circular Eddies of the Reduced-Gravity, Shallow-Water Equations
Circular Eddies Shallow-Water Equations Reduced-Gravity
2008/10/29
New analytical, circular eddy solutions of the nonlinear, reduced-gravity, shallow-water equations in a rotating system are presented. While previous analytical solutions were limited to the descripti...
The Primitive Equations in the Stochastic Theory of Adiabatic Stratified Turbulence
Primitive Equations Stochastic Theory Adiabatic Stratified Turbulence
2008/7/21
The stochastic theory of compressible turbulent fluid transport recently developed by Dukowicz and Smith is applied to the ensemble-mean primitive equations (PEs) for adiabatic stratified flow. The th...