Dynamics I
(WS 2006/07)
Prof. Dr. Gerrit Lohmann
Gerrit.Lohmann(at)awi.de
Tel: 0471-4831-1758 / 1760
The focus of the course is to identify the underlying dynamics for the atmosphere-ocean system. This is done through theory, numerical models, and statistical data analysis. It has been recognized that the atmospheric and oceanic flow binds together the interactions between the biosphere, hydrosphere, lithosphere and atmosphere that control the planetary environment. The fundamental concepts of atmosphere-ocean flow, energetics, vorticity, wave motion are described. This includes atmospheric wave motion, extratropical synoptic scale systems, the oceanic wind driven and thermohaline circulation. These phenomena are described using the dynamical equations, observational and proxy data, as well basic physical and mathematical concepts. Practicals complement the lessons. Specific aspects:
- Approximate equations of motion for various scales of flow
- Dynamical concepts for climate dynamics: Bifurcations, Feedback analysis
- Instabilities in the atmosphere-ocean system and the dynamics of waves
- Linear and non-linear time series analysis and empirical modeling
- Atmospheric dynamics and related teleconnection patterns like ENSO, PNA, and NAO
- Fundamental models: Charney-DeVore model of the atmosphere, Milankovitch theory of the ice ages, Stommel’s box model of the ocean circulation, etc.
Lesson 1, 26. October 2006: Introduction, Overview, Continuity equation
Lesson 2, 2. Nov: Advection, Material derivative, pressure, gravity, friction
- VL2.ppt
- VL2Minutes.pdf
- ex2Nov2006. pdf
- especially consider chapters 2 and 3 of Cushman-Roisin, B. & Beckers, J.-M., Introduction to Geophysical Fluid Dynamics: Physical and Numerical Aspects
Lesson 3, 9. Nov: Coriolis force, dynamical equations
Lesson 4, 16. Nov: Applications of the basic equations, thermal wind
Lesson 5, 23. Nov: Geostrophy, vorticity
- VL5.ppt
- see also material as pdf
- ex23Nov2006.pdf
Lesson 6, 30. Nov.: Vorticity, Shallow water equations
- VL6.ppt (1,3 MB)
- VL6Uebung.pdf (60 KB)
- EqWavesVL.pdf (92 KB)
- Minutes 6 (3,8 MB)
Lesson 7, 7. Dec.: Some numerics
- VL7.ppt (4,9 MB)
- ex7Dec2006.pdf (52 KB)
Lesson 8, 14. Dec. 2006: Computer applications in room N3130
- Worksheet_Dec15.doc (32 KB)
- VL8Num.ppt (764 KB)
- shallow2D_rossby.doc (4KB)
- shallow2D.doc (4 KB)
- shallow1D.doc (4 KB)
- ODE1.doc (4 KB)
- Diffusion_EulerForward.doc (4 KB)
Lesson 9, 21. Dec. 2006: Rossby, Kelvin, Yanai waves & Ekman transport
Happy Xmas
Lesson 10, 11. Jan 2007: Ocean circulation
Lesson 11, 18. Jan 2007: Students' day at AWI
Lesson 12, 25. Jan 2007: Multiple equilibria in the ocean circulation
- Uebung_2007_THC_Bif.pdf (46 KB)
- Grinsted%20THC.pdf (1,4 MB)
Please fill the anonymous feedback document and give it directly to Lars Jeschke in S3170 or Ms. Gatzka (S3034) or Mr. Poornendu.
Lesson 13, 1. Feb 2007: Multiple equilibria in the atmosperic circulation
- ex1feb.pdf (4 KB)
- lecture1feb.pdf (4 KB)
Lesson 14, 8. Feb 2007: Wind-driven ocean circulation
- VL Wind Ocean.ppt (512 KB)
- Übungen.pdf (81 KB)
Blockseminar AWI/IUP: 16. Feb 2007
Written exam: 26 February 2007; 10-12; Room S3032
WrittenExam.pdf (84 KB)
Schedule:
Lessons: Thursday 13:15-14:45
Practical: Thursday 15:00-15:45
Starting 26. October 2006.
For the formalities of PEP
Literature:
- Holton, J.R., Introduction to Dynamical Meteorology, Academic Press
- Gill, A., Atmosphere-Ocean Dynamics, Academic Press
- Dutton, J.A., The Ceaseless Wind, Dover
- Olbers, D.J., Ocean Dynamics, Script, University of Bremen
- Cushman-Roisin, B., ENVIRONMENTAL FLUID MECHANICS
- Lohmann, G., Mathematical modeling (SS 2006, University of Bremen)
- Cushman-Roisin, B. & Beckers, J.-M., Introduction to Geophysical Fluid Dynamics: Physical and Numerical Aspects
How to get the Credit Points / Schein?
Practical work (>50%)
Help of Monica Ionita, Norel Rimbu, Thomas Laepple
Written exam: repeat lessons and exercises
Day: 26 February 2007; 10-12; Room S3032