## 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

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.

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.