Dynamics II course 2018
Lecture: Monday, 14-16, room S3121
Prof. Dr. Gerrit Lohmann
Tutorial: Monday, 16-17, room S3121
Tutors: Saeid Bagheri, Anna Pagnone
starting April 16, 2018 with the lecture
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. Exercises complement the lessons.
Specific aspects:
Literature:
A script will be provided:
Gerrit Lohmann: Ocean Fluid Dynamics: Concepts, Scaling and Multiple Equilibria.
132 pp. Lecture Notes 2018
with Examples
exercises on paleo server
pdf
studIP
weathertank
-----
4 CP, Mandantory course in pep
-----
Lecture: Monday, 14-16, room S3121
Prof. Dr. Gerrit Lohmann
Tutorial: Monday, 16-17, room S3121
Tutors: Saeid Bagheri, Anna Pagnone
starting April 16, 2018 with the lecture
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. Exercises complement the lessons.
Specific aspects:
- Dynamical concepts for climate dynamics: Bifurcations, Feedback analysis
- Instabilities in the atmosphere-ocean system and the dynamics of waves
- Statistical approach of fluid dynamics
- Ocean circulation and atmospheric dynamics
- Climate variability patterns
- Reconstruction of climate, instrumental and proxy data
- Fundamental models: Stochastic climate model, Stommel's box model etc.
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, Springer
- Cushman-Roisin, B., ENVIRONMENTAL FLUID MECHANICS
- Cushman-Roisin, B. & Beckers, J.-M., Introduction to Geophysical Fluid Dynamics: Physical and Numerical Aspects
- J. Marchal, R. A. Plumb, 2008. Atmosphere, Ocean and Climate Dynamics: An Introductory Text. Academic Press, 344 pp; videos pdf
- R. H. Stewart, 2008: Introduction To Physical Oceanography, online Version: http://oceanworld.tamu.edu/home/course_book.htm
- T. F. Stocker, 2011. Introduction to Climate Modelling. Springer. SBN 978-3-642-00773-6
- B. Saltzman, Dynamical Paleoclimatology - A generalized theory of global climate change, Academic Press, San Diego, 2002, 354 pp.
- N. Gershenfeld, The nature of mathematical modeling, Cambridge University Press, Cambridge, 2003, 344 pp.
- H. Goose, Climate system dynamics and modelling, Cambridge University Press, Cambridge, 2015, 358 pp.
- The Princeton companion to mathematics / Timothy Gowers, editor ; June Barrow-Green, Imre Leader, associate editors. p. cm. Includes bibliographical references and index. ISBN 978-0-691-11880-2
- Statistical Analysis of Climate Series Analyzing, Plotting, Modeling, and Predicting with R Pruscha, Helmut 2013, VIII, 176 p. (link)
- Kämpf, J., 2009: Ocean Modelling for Beginners Using Open-Source Software. Springer. (link)
- Kaper, H.G., Engler, H., 2013: Mathematics and Climate. SIAM. Includes bibliographical references and index. ISBN 978-1-611972-60-3
A script will be provided:
Gerrit Lohmann: Ocean Fluid Dynamics: Concepts, Scaling and Multiple Equilibria.
132 pp. Lecture Notes 2018
with Examples
exercises on paleo server
studIP
weathertank
-----
4 CP, Mandantory course in pep
-----
Preliminary time table:
April 9:
no lecture (Chapter 1)
Repeat the material of Dynamics I
Prepare your own laptop (instal R) For programming issues, we will start to work with examples. Please download the open source software R (http://cran.r-project.org/),
for nice features, you may also download Rstudio: http://www.rstudio.com/ (there is also a nice tutorial, and hands-on courses for beginners and even R experts).
April 16:
14-16: Lecture 1 (GL)
Overview of Dynamics II (Chapter 4)
Fluid Dynamics, Non-dimensional parameters, dynamical similarity
Elimination of the pressure term and vorticity
16-17 Practice and Tutorial: (GL)
Exercise 1 distributed
April 23:
14-16: Lecture 2 (Christian Stepanek)
Lecture about programming: bash, csh, cdo (Chapter 2.2)
programming_course_intro_netcdf_cdo_shell 2018
cdo_examples 2018
16-17: Tutorial (CS): Exercise 1 collected,
Exercise 2 distributed
April 30:
Lecture 3 (Martin Wegmann)
14-16: Intro into R for Dynamics, Rmarkdown
(Chapter 2.1)
R in 2018
16-17: Tutorial (MW)
Exercises in R
Exercise 2 collected
Exercise 3 distributed
May 7:
14-16: Lecture 4 (GL)
Rayleigh-Bénard convection and the Lorenz system
Bifurcations
(Chapter 5.3; Chapter 2.3)
16-17: Tutorial (SB)
Exercise 1 discussed, Exercise 3 collected, Exercise 4 distributed
May 14:
14-16: Lecture 5 about Ocean Dynamics (GL)
Coriolis effect
Scaling of the dynamical equations
Geostrophy
Vorticity
Wind-driven ocean circulation
(Chapter 6.1-6.6)
16-17: Tutorial (SB)
Exercise 3 discussed, Exercise 4 collected, Exercise 5 distributed
May 21: Pentecost: Holiday in Germany, no lecture
May 28:
14-16: Lecture 6 about Atlantic deep ocean circulation (GL)
Vorticity dynamics
Simple model of meridional overturning
(Chapter 6.7, 7.1, 7.2) Application: Climate-Box-Model
Model scenarios
Possible Projects in Dynamics II (please ask)
16-17: Tutorial (SB)
Exercise 4 discussed, Exercise 5 collected, Exercise 6 distributed
June 4:
14-16: Lecture 7 about Shallow water equations and waves (GL)
Rossby, Gravity, Kelvin waves
Equatorial waves: Theory of Matsuno
Plain waves
Scaling
(Chapter 8)
16-17: Tutorial (SB)
Exercise 5 discussed, Exercise 6 collected, Exercise 7 distributed
June 11:
14-16: Lecture 8 about Stochastic climate model (GL)
Coarse-graining and filtering, kinetoc models, entropy production (Chapter 3.5)
Scaling: Brownian motion and stochastic climate model (Chapter 7.3)
The Boltzmann Equation and Navier Stokes Equation
Simulation set-up of the Rayleigh-Bénard convection
Application: Lattice Boltzmann Dynamics
(Chapter 3, Chapter 7.3)
16-17: Tutorial (AP)
Exercise 6 discussed, Exercise 7 collected, Exercise 8 distributed
June 18:
14-16: Lecture 9 about Climate variability and dynamics (MW)
pdf of the Lecture
Climate dynamics and circulation (Arctic Oscillation, ENSO, blocking )
15-17 Tutorial (AP):
Exercise 7 discussed, Exercise 8 collected
June 25:
14-16: Lecture 10 about Teleconnections (GL)
Practice: PaLib, correlation and composite maps, significance
(Chapter 10)
16-17 Tutorial (AP):
Exercise 8 discussed
Homework: Test exam
July 2:
11:30-12:45: Lecture 11 (GL) at AWI
Summary of Dynamics
14:00 - 15:00: AWI Ice core Lab
15:20-16:00 Tutorial (CS): Exercise 2 discussed
July 9:
14-16 Tutorial (AP): Re-Questions to exercises and test exam
July 30: Exam (written, 10-12), room
The exam is based on the exercises and the general content of the lecture.
Following the rules of pep.
April 9:
no lecture (Chapter 1)
Repeat the material of Dynamics I
Prepare your own laptop (instal R) For programming issues, we will start to work with examples. Please download the open source software R (http://cran.r-project.org/),
for nice features, you may also download Rstudio: http://www.rstudio.com/ (there is also a nice tutorial, and hands-on courses for beginners and even R experts).
April 16:
14-16: Lecture 1 (GL)
Overview of Dynamics II (Chapter 4)
Fluid Dynamics, Non-dimensional parameters, dynamical similarity
Elimination of the pressure term and vorticity
16-17 Practice and Tutorial: (GL)
Exercise 1 distributed
April 23:
14-16: Lecture 2 (Christian Stepanek)
Lecture about programming: bash, csh, cdo (Chapter 2.2)
programming_course_intro_netcdf_cdo_shell 2018
cdo_examples 2018
16-17: Tutorial (CS): Exercise 1 collected,
Exercise 2 distributed
April 30:
Lecture 3 (Martin Wegmann)
14-16: Intro into R for Dynamics, Rmarkdown
(Chapter 2.1)
R in 2018
16-17: Tutorial (MW)
Exercises in R
Exercise 2 collected
Exercise 3 distributed
May 7:
14-16: Lecture 4 (GL)
Rayleigh-Bénard convection and the Lorenz system
Bifurcations
(Chapter 5.3; Chapter 2.3)
16-17: Tutorial (SB)
Exercise 1 discussed, Exercise 3 collected, Exercise 4 distributed
May 14:
14-16: Lecture 5 about Ocean Dynamics (GL)
Coriolis effect
Scaling of the dynamical equations
Geostrophy
Vorticity
Wind-driven ocean circulation
(Chapter 6.1-6.6)
16-17: Tutorial (SB)
Exercise 3 discussed, Exercise 4 collected, Exercise 5 distributed
May 21: Pentecost: Holiday in Germany, no lecture
May 28:
14-16: Lecture 6 about Atlantic deep ocean circulation (GL)
Vorticity dynamics
Simple model of meridional overturning
(Chapter 6.7, 7.1, 7.2) Application: Climate-Box-Model
Model scenarios
Possible Projects in Dynamics II (please ask)
16-17: Tutorial (SB)
Exercise 4 discussed, Exercise 5 collected, Exercise 6 distributed
June 4:
14-16: Lecture 7 about Shallow water equations and waves (GL)
Rossby, Gravity, Kelvin waves
Equatorial waves: Theory of Matsuno
Plain waves
Scaling
(Chapter 8)
16-17: Tutorial (SB)
Exercise 5 discussed, Exercise 6 collected, Exercise 7 distributed
June 11:
14-16: Lecture 8 about Stochastic climate model (GL)
Coarse-graining and filtering, kinetoc models, entropy production (Chapter 3.5)
Scaling: Brownian motion and stochastic climate model (Chapter 7.3)
The Boltzmann Equation and Navier Stokes Equation
Simulation set-up of the Rayleigh-Bénard convection
Application: Lattice Boltzmann Dynamics
(Chapter 3, Chapter 7.3)
16-17: Tutorial (AP)
Exercise 6 discussed, Exercise 7 collected, Exercise 8 distributed
June 18:
14-16: Lecture 9 about Climate variability and dynamics (MW)
pdf of the Lecture
Climate dynamics and circulation (Arctic Oscillation, ENSO, blocking )
15-17 Tutorial (AP):
Exercise 7 discussed, Exercise 8 collected
June 25:
14-16: Lecture 10 about Teleconnections (GL)
Practice: PaLib, correlation and composite maps, significance
(Chapter 10)
16-17 Tutorial (AP):
Exercise 8 discussed
Homework: Test exam
July 2:
11:30-12:45: Lecture 11 (GL) at AWI
Summary of Dynamics
14:00 - 15:00: AWI Ice core Lab
15:20-16:00 Tutorial (CS): Exercise 2 discussed
July 9:
14-16 Tutorial (AP): Re-Questions to exercises and test exam
July 30: Exam (written, 10-12), room
The exam is based on the exercises and the general content of the lecture.
Following the rules of pep.