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## ECMM719 - Fluid Dynamics of Atmospheres and Oceans (2018)

MODULE TITLE | Fluid Dynamics of Atmospheres and Oceans | CREDIT VALUE | 15 |
---|---|---|---|

MODULE CODE | ECMM719 | MODULE CONVENER | Prof Geoffrey Vallis (Coordinator) |

DURATION: TERM | 1 | 2 | 3 |
---|---|---|---|

DURATION: WEEKS | 12 | 0 | 0 |

Number of Students Taking Module (anticipated) | 32 |
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This module lays the foundations for an understanding of large scale weather patterns and ocean circulation. It will introduce you to the kinds of dynamics that can occur in stratified and rotating fluids, and introduce key concepts, such as conservation and balance, that are used to understand and analyse such flows.

You will learn to explain, manipulate and analyse mathematical descriptions of different kinds of wave and vortical motion that can occur in stratified and rotating fluids. Furthermore, you will be able to explain the relevance of the mathematical descriptions to large scale motion of the atmosphere and oceans. In addition, you will study the application of a range of mathematical methods, including differential equations, fluid dynamics, Fourier analysis, and the use of small parameters to approximate and simplify problems. The material should develop your ability to relate physical problems to their mathematical formulation.

Prerequisite module: ECM3707 or equivalent

This is an introductory module on the dynamics of stratified and rotating fluids, with application to atmosphere and ocean dynamics. It will introduce you to the kinds of dynamics that can occur in stratified and rotating fluids, and introduce key concepts, such as conservation and balance, that are used to understand and analyse such flows.

On successful completion of this module, **you should be able to**:

**Module Specific Skills and Knowledge:**

1 explain, manipulate, and analyse mathematical descriptions of different kinds of wave and vortical motion that can occur in stratified and rotating fluids; explain the relevance of the mathematical descriptions to large scale motion of the atmosphere and oceans.

**Discipline Specific Skills and Knowledge:**

2 demonstrate the application of a range of mathematical methods, including differential equations, fluid dynamics, Fourier analysis, and the use of small parameters to approximate and simplify problems;

3 relate weather and ocean circulations to the underpinning of mathematical formulation.

**Personal and Key Transferable/ Employment Skills and Knowledge:**

4 monitor their own progress;

5 manage time;

6 formulate and solve complex problems.

- equations of motion; hydrostatic balance; equations of motion in a rotating coordinate frame;

- shallow water gravity waves, phase and group velocity, internal gravity waves, mountain waves and mountain wave drag;

- Rossby number; geostrophic balance; potential vorticity, invertibility; circulation and Kelvin's theorem;

- Rossby waves; Poincare waves, the Rossby adjustment problem, Rossby radius; Kelvin waves;

- quasi-geostrophic theory; vertical propagation of planetary waves; Eady model of baroclinic instability;

- Ekman layer, Ekman pumping, Sverdrup balance.

Scheduled Learning & Teaching Activities | 33.00 | Guided Independent Study | 117.00 | Placement / Study Abroad |
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Category | Hours of study time | Description |

Scheduled learning and teaching activities | 33 | Lectures/example classes |

Guided independent study | 117 | Book work from lectures, study using reading list, past exam papers. |

Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method | |
---|---|---|---|---|

Written exercise to derive key results | 20 minutes | All | Lecturer presents to class | |

Coursework | 20 | Written Exams | 80 | Practical Exams |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|---|

Written exam – closed book | 80 | 2 hours - Summer Exam Period | 1,2,5 | Meeting with lecturer |

Coursework – example sheet 1 | 10 | 4-6 questions, 1-2 pages | 1-5 | Problems class and meeting with lecturer |

Coursework – example sheet 2 | 10 | 4-6 questions, 1-2 pages | 1-5 | Problems class and meeting with lecturer |

Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-reassessment |
---|---|---|---|

All above | Written exam (100%) | All | August Ref/Def period |

If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.

If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 50% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.

information that you are expected to consult. Further guidance will be provided by the Module Convener

ELE – http://vle.exeter.ac.uk

Reading list for this module:

Type | Author | Title | Edition | Publisher | Year | ISBN | Search |
---|---|---|---|---|---|---|---|

Set | Vallis, G.K. | Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large Scale Circulation | Cambridge University Press | 2006 | 978-0521849692 | [Library] | |

Set | Cushman-Roisin B and Beckers JM | Introduction fo Geophysical Fluid Dynamics | 2nd | Academic Press | 2010 | 978-0120887590 | [Library] |

Set | Holton, J. R | An introduction to Dynamic Meteorology | 4th | Academic Press | 2012 | 978-0123848666 | [Library] |

Set | Pedlosky J. | Geophysical Fluid Dynamics | 2nd | Springer | 1992 | 978-0387963877 | [Library] |

Set | Gill A. | Atmosphere-Ocean dynamics | Academic Press | 1982 | 978-1483239439 | [Library] |

CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
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PRE-REQUISITE MODULES | ECM3707 |
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CO-REQUISITE MODULES |

NQF LEVEL (FHEQ) | 7 | AVAILABLE AS DISTANCE LEARNING | No |
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ORIGIN DATE | Thursday 06 July 2017 | LAST REVISION DATE | Wednesday 27 February 2019 |

KEY WORDS SEARCH | Fluid dynamics; meteorology; atmosphere; ocean. |
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