Educational guide 2023_24 Facultade de Ciencias do Mar

Contents

Topic	Sub-topic
Development of the ocean equations.	1.1 f plane approximation. 1.2 Beta plane approximation. Problems. 1.3 Continuity equation, deduction and interpretation. 1.4 Gauss theorem. 1.5 Momentum equation. Pressure forces. Viscous forces. Coriolis acceleration. Application and simplifications. 1.6 Energy conservation equation and salt conservation equation. 1.7 Equation of state. Approximations. 1.8 Recapitulation. 1.9 Problems.
Wavelike solutions of the equations	Wave kinematics. Dispersion relation. 2.1 Wavelike solutions I: Wave's dynamics. Short waves (deep water waves) and long waves (shallow water waves) approximations. Pressure and particles movement. Stokes drift. Problems. 2.2 Inertial movement and forced inertial movement. 2.3 Wavelike solutions II: Planetary waves. Kelvin waves. Rossby waves. Poincaré Waves. 2.4 Wavelike solutions III. Internal waves. Dynamics of internal waves with and without rotation. Stratified Internal waves.
Non wavelike solutions of the equations.	3.1 Geostrophic currents. Thermal wind equations. Sverdrup relation. 3.2 Barotropic currents. Problems 3.3 Ekman's surface and bottom layer and Ekman theory. Ekman's transport. Problems 3.4 Barotropic wind forced oceanic circulation. Ekman's pumping. Vertically integrated equations. Sverdrup and Stommel model's. Vertical structure. Problems 3.5 Baroclinic currents. Theory and applications. Problems. 3.6 Stratification in the ocean. Static stability and friction. Problems. 3.7 Eighth equation: Vorticity conservation. Applications.