MT5809: Advanced Fluid Dynamicsjean/MT5809/intro.pdf · MT5809: Advanced Fluid Dynamics J.N....
Transcript of MT5809: Advanced Fluid Dynamicsjean/MT5809/intro.pdf · MT5809: Advanced Fluid Dynamics J.N....
MT5809: Advanced Fluid Dynamics
J.N. Reinaud
School of Mathematics and StatisticsUniversity of St Andrews
MT5809 2/10
Essential facts
• Lectures: 11am, room 3B — Mondays (odd), Wednesdays & Fridays.
• Tutorials: Once a week, starting week 2.
• Assessment: 2.5h examination (100% of the course assessment).
• Material:
⊲ Essential material: Hand-outs & http://www-vortex.mcs.st-and.ac.uk/∼jean/MT5809.html
⊲ Further reading: on short loan at the Maths/Phys library
∗ Vallis, G.K. Atmospheric and ocean fluid dynamics: fundamentals and large-scale circula-tion.
∗ Gill, A.E. Atmosphere-ocean dynamics.∗ Pedlosky, J. Geophysical fluid dynamics.
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MT5809 3/10
Module objectives : Geophysical Fluid Dynamics
Vortices (atmospheric cyclone) Waves (in the atmosphere)
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MT5809 4/10
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MT5809 5/10
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MT5809 6/10
Module objectives : Geophysical Fluid Dynamics
Jets &Vortices (Gulf stream) Waves (inside the ocean)
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MT5809 7/10
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MT5809 8/10
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MT5809 9/10
“Geo”physical Fluid Dynamics... not only from this Earth
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MT5809 10/10
Syllabus
• Overall Aim: Examine how the two basic effects of rotation and density stratification con-trol large-scale fluid flows in Nature (e.g. the Earth’s atmosphere and oceans, and otherplanetary atmospheres).
• This builds on basic fluid dynamics — in particular inviscid (inertia-dominated) and incom-pressible (quiet!) fluid dynamics.
• We’ll start simple and then consider the effects of
⊲ rotation,
⊲ density stratification,
⊲ rotation AND density stratification combined.
• We’ll learn about inertial waves, internal waves, inertia-gravity waves, Rossby waves, balance,potential vorticity, coherent structures, jets.
• This course offers an opportunity to apply a variety of mathematical skills acquired overthe past three years to an important, topical and interesting research area.
• This will help you to appreciate the complexity of geophysical fluid dynamics and the greatchallenge in predicting weather, ocean currents and climate change.
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