**Dynamical Oceanography I**

**Drs. Huijie Xue and Neal R.
Pettigrew**

**University of Maine**

**Phone: 581-4318**

This course covers physical principals fundamental to the study of the oceans; the equations of motion for rotating fluids; circulation theorem and conservation of potential vorticity; scale analysis; boundary conditions; surface gravity waves; rotation effects in homogeneous oceans. Prerequisites: OCE 541 or equivalent, fluid mechanics and partial differential equations. Cr. 3.

**Outline:**

- Governing equations (Dr. Pettigrew)
- equations of motion; rotational effects; mass conservation equation; density equation; circulation and vorticity; vorticity equation, potential vorticity; kinetic and potential energy; mechanical energy equations; turbulent mixing

- Scales of motion (Dr. Pettigrew)
- a coordinate system for planetary scale motions; f-plane and b-plane; importance of rotation and Rossby number; importance of stratification; Boussinesq approximation and hydrostatic approximation; importance of friction and Ekman number

- Adjustment under gravity (Dr. Xue)
- surface gravity waves; short-wave and long-wave approximations

- Linear barotropic waves (Dr. Xue)
- shallow water equation; tides and related; the Rossby adjustment problem; conservation of potential vorticity for a shallow homogeneous layer; Kelvin wave; Inertia-gravity waves; quasigeostrophic theory; planetary Rossby waves; topographic Rossby waves; waves in a shear flow; barotropic instability

- Wind forced motions (Dr. Pettigrew)
- Ekman layer; Ekman transport and Ekman pumping; bottom friction (velocity structure and bottom boundary layer); spin-down by bottom friction

- Large-scale ocean circulation (Dr. Xue)
- a simple model of mid-latitude circulation and Sverdrup relation; westward intensification and western boundary currents

**Text:**

Cushman-Roisin: Introduction to Geophysical Fluid Dynamics, Prentice HallGill: Atmosphere-Ocean Dynamics, Academic Press

Lecture Notes