The University of Southampton
Courses

# SOES1012 Physics and Dynamics for Oceanography

## Module Overview

This module provides the fundamental physics needed for marine science, and enables students to apply fundamental statistics methods in an oceanographic context.

### Aims and Objectives

#### Learning Outcomes

##### Learning Outcomes

Having successfully completed this module you will be able to:

• Describe, and write down equations for: - Newton's laws of motion - Circular motion and conservation of angular momentum - Conservation of energy
• Write down and explain the Navier-Stokes equations, identifying contexts in which the following terms are important: - Net acceleration - Acceleration due to gravity - Acceleration due to the pressure-gradient force - Acceleration due to the shear stress (frictional) force - Acceleration due to the Coriolis force
• Qualitatively predict the motion of seawater and particles, under scenarios comparable to those encountered in the ocean, based on the above physical principles
• Identify instances when turbulence may arise in oceanographic settings.
• Explain the concept of dynamical diffusivity and apply this to solve problems in an oceanographic setting.
• Solve quantitative problems in marine science based on physical and statistical principles.

### Syllabus

Lecture topics: - Dimensions and units - Newton's laws of motion - The gravitational force and the concept of geopotential height - The pressure gradient force I: buoyancy and hydrostatic balance - The pressure gradient force II: horizontal pressure gradients - The frictional force I: application to a fluid - The frictional force II: application to a solid within a fluid - Circular motion - The rotating Earth, the centrifugal force, and geopotentials revisited - The Coriolis force I: principles - The Coriolis force II: applications - Summary of forces in oceanography (The Navier-Stokes Equations) - Angular momentum and potential vorticity - Conservation of energy - Fundamental statistical properties - Error and error propagation - Frequency distributions, probability distributions, and outliers - The concept of statistical significance - Least-squares fitting and linear regression - Statistical tests - The impact of friction in a fluid - Turbulence in seawater - Diffusive properties of seawater - Wind driven ocean circulation

### Learning and Teaching

#### Teaching and learning methods

Content will be taught by a combination of formal lectures and paper exercises, delivered in the same session as appropriate.

TypeHours
Independent Study106
Teaching44
Total study time150

R statistical software. Software

Sadler, A. J. & Thorning, D. W. S (1996). Understanding Mechanics.

Lambourne, R. & Tinker, M. (2000). Basic Mathematics for the Physical Sciences.

Course manual (provided by coordinator).

### Assessment

#### Summative

MethodPercentage contribution
Examination 70%
In-class Test 30%

#### Referral

MethodPercentage contribution
Examination