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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: A-level further mathematics or equivalent in modules in mathematics at undergraduate level.
Co-requisites:
Modules excluded:
Current from: 2023/4
Module Convenor: Dr Hilary Weller
Email: h.weller@reading.ac.uk
Type of module:
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, analyse the results and write reports.
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.Ìý This will include mathematical analysis, modelling and some good programming practices.
Assessable learning outcomes:
By the end of this module students should be able to:
- Derive finite difference approximations using Taylor series;
- Explain the concept of stability and perform a basic stability analysis;
- Implement and test the behaviour of numerical schemes using Python;
- Recognise sourcesof numerical error and derive and measure order of accuracy;
- Use Fourier series for analysing both numerical methods and climate data;
- Use functions and loops in Python and avoid code duplication;
- Describe various properties of numerical methods such as conservation and boundedness;
- Collaborate on writing code in groups;
- Design experiments to test the properties of numerical methods.
Additional outcomes:
Students will develop skills of working to deadlines 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 and the advection equation;
- Use of Fourier series:
- Python including use of functions and testing.
Brief description of teaching and learning methods:
Lectures, computing practical classes and written reports on practicals. Ìý
Ìý | Autumn | Spring | Summer |
Lectures | 14 | ||
Practicals classes and workshops | 18 | ||
Guided independent study: | 68 | ||
Ìý | Ìý | Ìý | Ìý |
Total hours by term | 100 | 0 | 0 |
Ìý | Ìý | Ìý | Ìý |
Total hours for module | 100 |
Method | Percentage |
Written assignment including essay | 60 |
Class test administered by School | 40 |
Summative assessment- Examinations:
Summative assessment- Coursework and in-class tests:
1 hour 50 minute class test at the end of the module during the Autumn term. Answer all Ìýquestions.
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 and staged submission.Ìý Students receive 5% of the final module total for participating in a peer assessed assignment.
Formative assessment methods:
Penalties for late submission:
The below information applies to students on taught programmes except those on Postgraduate Flexible programmes. Penalties for late submission, and the associated procedures, which apply to Postgraduate Flexible programmes are specified in the policy 'Penalties for late submission for Postgraduate Flexible programmes', which can be found here: /cqsd/-/media/project/functions/cqsd/documents/cqsd-old-site-documents/penaltiesforlatesubmissionpgflexible.pdf
The Support Centres will apply the following penalties for work submitted late:
- where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
- where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.
Assessment 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:Ìý
2) Specialist equipment or materials:Ìý
3) Specialist clothing, footwear or headgear:Ìý
4) Printing and binding:Ìý
5) Computers and devices with a particular specification:Ìý
6) Travel, accommodation and subsistence:Ìý
Last updated: 30 March 2023
THE INFORMATION CONTAINED IN THIS MODULE DESCRIPTION DOES NOT FORM ANY PART OF A STUDENT'S CONTRACT.