MTMW12-Introduction to Numerical Modelling

Module Provider: Meteorology
Number of credits: 10 [5 ECTS credits]
Terms in which taught: Autumn term module
Non-modular pre-requisites:
Modules excluded:
Module version for: 2016/7

Module Convenor: Dr Hilary Weller


Summary module description:
We will derive and analyse a number of numerical methods for solving the type of equations used in atmosphere and ocean modelling. Students will implement some of these methods using the Python programming language.

The aim of this module is to familiarise the students with a range of concepts and techniques used in the numerical modelling of atmospheric and oceanic fluid flows.

Assessable learning outcomes:
By the end of this module students should be able to

  • Derive numerical schemes using Taylor series
  • Explain the concept of stability and perform a basic stability analysis
  • Implement and test the behaviour of numerical schemes using Python
  • Recognize sources of numerical error and derive and measure order of accuracy
  • Use Fourier series for analysing both numerical methods and climate data.

Additional outcomes:
Students will develop skills of working to deadlines and in groups and preparing clear, concise written reports.

Outline content:
The lecture content covers

  • Derive finite difference approximations using Taylor series
  • Differential equations with time and space derivatives
  • Techniques for solving the diffusion equation,the advection equation and the wave equation
  • Use of Fourier series.

The practical classes cover
  • Introduction to Python
  • Implementation of numerical schemes and demonstration of their behaviour.

Brief description of teaching and learning methods:
Lectures, computing practical classes, written reports on practicals and peer instruction.

Contact hours:
  Autumn Spring Summer
Lectures 16
Practicals classes and workshops 16
Guided independent study 70
Total hours by term 102.00
Total hours for module 102.00

Summative Assessment Methods:
Method Percentage
Report 60
Class test administered by School 40

Other information on summative assessment:
Written exam worth 40%. 55% is made up of 2 assignments involving programming and report writing worth 20% and 35%. The 35% assignment will involve team work.

Formative assessment methods:
Students receive 5% of the final module total for participating in a peer assessed assignment.

Penalties for late submission:
Penalties for late submission on this module are in accordance with the University policy. Please refer to page 5 of the Postgraduate Guide to Assessment for further information:

Length of examination:
1 hour 50 minute class test at the end of the module during the Autumn term. Answer all 4 questions.

Requirements for a pass:
A mark of 50% overall

Reassessment arrangements:
For candidates who have failed, an opportunity to take a resit examination will be provided within the lifetime of the course.

Additional Costs (specified where applicable):
1) Required text books: Reading lists for meteorology modules are available here

2) Specialist equipment or materials:
3) Specialist clothing, footwear or headgear:
4) Printing and binding:
5) Computers and devices with a particular specification:
6) Travel, accommodation and subsistence:

Last updated: 21 December 2016

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