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Overview

This course introduces the main principles of classical geophysical fluid dynamics, including surface waves and tides. The topics covered include: Equations of motion and continuity, streamfunction, vorticity, rotational and irrotational flow. Linear surface gravity waves in deep' andshallow' water and their properties Standing waves. Internal waves. Governing principles and equations of motion with rotation.
Turbulent mixing, eddy viscosity, diffusivity, Reynolds stress.
Ekman theory of wind-driven flow. Inertial oscillations. Ocean circulation theory.
Basic theory of tidal forces and the equilibrium tidal model.
Effects of rotation and friction on tidal flow.
The advection-diffusion equation. Onset and maintenance of turbulence in terms of Richardson number.

The course is taught through lectures, computer practicals, a laboratory practical and exercises

This course introduces the main principles of classical geophysical fluid dynamics, including surface waves and tides.

The topics covered include:

Equations of motion and continuity, streamfunction, vorticity, rotational and irrotational flow. Linear surface gravity waves in deep' andshallow' water and their properties

Standing waves. Internal waves.

Governing principles and equations of motion with rotation.
Turbulent mixing, eddy viscosity, diffusivity, Reynolds stress.

Ekman theory of wind-driven flow. Inertial oscillations. Ocean circulation theory.

Basic theory of tidal forces and the equilibrium tidal model.

Effects of rotation and friction on tidal flow.

The advection-diffusion equation. Onset and maintenance of turbulence in terms of Richardson number.

The course is taught through lectures, computer practicals, a laboratory practical and exercises

Assessment Strategy

Threshold - (D- grade) basic understanding of knowledge (subject-specific theories, concepts and principles) of the processes of wave mechanics, dynamics and tides based on the directly taught programme.- basic ability to define and solve numerical problems using appropriate techniques, and to interpret the results.

Good - (B grade) good understanding of knowledge (subject-specific theories, concepts and principles) of the processes of wave mechanics, dynamics and tides based on the directly taught programme.- good ability to define and solve numerical problems using appropriate techniques, and to interpret the results.

Excellent - (A grade) thorough understanding of knowledge (subject-specific theories, concepts and principles) of the processes of wave mechanics, dynamics and tides based on the directly taught programme together with some evidence of further reading.- thorough ability to define and solve numerical problems using appropriate techniques, and to interpret the results.

Learning Outcomes

• Display understanding of the theoretical principles of geophysical fluid dynamcis and turbulence, including large scale ocean circulation processes.

• display understanding of fundamental tidal dynamics and its consequences for the ocean

• display understanding of wave dynamics in theory and practice