MTMW12-Introduction to Numerical Modelling

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

Module Convenor: Dr Hilary Weller

Email: h.weller@reading.ac.uk

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.

Aims:
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: http://www.reading.ac.uk/internal/exams/student/exa-guidePG.aspx

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
https://reading.rl.talis.com/departments/mps_met.htmlhttps://reading.rl.talis.com/departments/mps_met.html

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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