Dynamics II course 2014
Lecture: Monday, 14-16, room S3121
Prof. Dr. Gerrit Lohmann
Tutorial: Monday, 16-17, room S3121
Tutor: Paul Gierz
starting May 5, 2014
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 2014
-----
4 CP, Mandantory course in pep
-----
Preliminary time table:
Preparation of the students before May 5
Repeat the material of Dynamics I
Read part of the script Dynamics II Chapter 1 of the script
Prepare your own laptop (instal R) Chapter 3.2 of the script
May 5: Overview of Dynamics II
14-16: Lecture
Fluid Dynamics, Non-dimensional parameters: The Reynolds number
Elimination of the pressure term and vorticity Chapter 2 of the script
Rayleigh-Bénard convection and the Lorenz system
Simplifying the system: Galerkin approximation Chapter 3 of the script
16-17: Tutorial: Intro into R, instaling on the local PCs Chapter 3.2 of the script
Exercise 1 distributed: Some properties of the Lorenz equations
May 12:
14-16 Practice and Tutorial:
Install R and Examples
Logistic equation
Lorenz equation
Exercise 1 collected
Exercise 2 distributed
May 19:
14-16: Lecture
Rayleigh-Bénard convection and the Lorenz system (continued)
Bifurcations Chapter 3.3 of the script
Climate dynamics and circulation (Arctic Oscillation, ENSO), correlation and composite maps, significance
16-17: Tutorial
Exercise 1 discussed
Exercise 2 collected
Exercise 3 distributed
May 26:
Practice: PaLib, correlation maps
14-17
Exercise 2 discussed
Exercise 3 collected
Exercise 4 distributed
June 2:
14-16: Lecture Chapter 4.1-4.5 of the script
Ocean Dynamics
Coriolis effect
Scaling of the dynamical equations
Geostrophy
Vorticity Chapter 4.1-4.5 of the script
16-17: Tutorial
Exercise 3 discussed
Exercise 4 collected
Exercise 5 distributed
June 9: Pentecost: Holiday in Germany, no lecture
June 16:
14-16: Lecture
Atlantic deep ocean circulation
Simple model of meridional overturning Chapter 4.9-4.10 of the script
Application: Climate-Box-Model Chapter 5 of the script
16-17: Tutorial
Run the model Chapter 5 of the script
Model scenarios
Exercise 4 discussed
Exercise 5 collected
Exercise 6 distributed
June 23:
14-16: Practice
Application 1: PaLib
Application 2: Climate-Box-Model Chapter 5 of the script
Application 3: waves Chapter 4.6 of the script
16-17: Tutorial
Exercise 5 discussed
Exercise 6 collected
Exercise 7 distributed about shallow water equations, Rossby and Kelvin waves
June 30:
14-16: Lecture
Shallow water equations and waves
Equatorial waves: Theory of Matsuno
Plain waves Chapter 4.6-4.8 of the script
Brownian motion and stochastic climate model Chapter 6 of the script
Stochastic resonance
16-17: Tutorial
Exercise 6 discussed
Exercise 7 collected
Exercise 8 distributed: several aspects of the stochastic climate model
July 7:
14-16: Lecture
Stochastic climate model (continued) Chapter 6.2 of the script
The Boltzmann Equation and Navier Stokes Equation
Application: Lattice Boltzmann Dynamics Chapter 7 of the script
Simulation set-up of the Rayleigh-Bénard convection
System preparations and running a simulation Chapter 7.3 of the script
16-17: Tutorial
Exercise 7 discussed
Exercise 8 collected
Exercise 9 distributed: Applications of the Rayleigh-Bénard convection, Simple 2D ocean model
July 14:
14-16: Lecture
Climate variability and dynamics
Holocene dynamics
Dynamics of ice ages, Orbital parameters (small R Program)
Tides
Astronomical theory, Rectification of forcing, Spectra (small R Program)
Evaluate the radiation at 65N, 30N, 30S, 60S for June and December
--> will be done in Climate II
16-17: Tutorial
Exercise 8 discussed
Exercise 9 collected
July 21:
14-16: Lecture
"Summary" and preparation for the exam
16-17: Tutorial
Exercise 9 discussed
Re-Questions to all exercises
Aug 18 (Monday): Exam (written, 10-12)
The exam is based on the Exercises 1-9, and the general content of the lecture.
Following the rules of pep.
Lecture: Monday, 14-16, room S3121
Prof. Dr. Gerrit Lohmann
Tutorial: Monday, 16-17, room S3121
Tutor: Paul Gierz
starting May 5, 2014
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
- R. Müller, 2009: Klassische Mechanik -- vom Weitsprung zum Marsflug (de Gruyter)
- J. Marchal, R. A. Plumb, 2008. Atmosphere, Ocean and Climate Dynamics: An Introductory Text. Academic Press, 344 pp; videos
- R. H. Stewart, 2008: Introduction To Physical Oceanography, online Version: http://oceanworld.tamu.edu/home/course_book.htm
- T. F. Stocker, 2002. Einführung in die Klimamodellierung, Skript Universität Bern
- 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.
A script will be provided:
Gerrit Lohmann: Ocean Fluid Dynamics: Concepts, Scaling and Multiple Equilibria.
132 pp. Lecture Notes 2014
-----
4 CP, Mandantory course in pep
-----
Preliminary time table:
Preparation of the students before May 5
Repeat the material of Dynamics I
Read part of the script Dynamics II Chapter 1 of the script
Prepare your own laptop (instal R) Chapter 3.2 of the script
May 5: Overview of Dynamics II
14-16: Lecture
Fluid Dynamics, Non-dimensional parameters: The Reynolds number
Elimination of the pressure term and vorticity Chapter 2 of the script
Rayleigh-Bénard convection and the Lorenz system
Simplifying the system: Galerkin approximation Chapter 3 of the script
16-17: Tutorial: Intro into R, instaling on the local PCs Chapter 3.2 of the script
Exercise 1 distributed: Some properties of the Lorenz equations
May 12:
14-16 Practice and Tutorial:
Install R and Examples
Logistic equation
Lorenz equation
Exercise 1 collected
Exercise 2 distributed
May 19:
14-16: Lecture
Rayleigh-Bénard convection and the Lorenz system (continued)
Bifurcations Chapter 3.3 of the script
Climate dynamics and circulation (Arctic Oscillation, ENSO), correlation and composite maps, significance
16-17: Tutorial
Exercise 1 discussed
Exercise 2 collected
Exercise 3 distributed
May 26:
Practice: PaLib, correlation maps
14-17
Exercise 2 discussed
Exercise 3 collected
Exercise 4 distributed
June 2:
14-16: Lecture Chapter 4.1-4.5 of the script
Ocean Dynamics
Coriolis effect
Scaling of the dynamical equations
Geostrophy
Vorticity Chapter 4.1-4.5 of the script
16-17: Tutorial
Exercise 3 discussed
Exercise 4 collected
Exercise 5 distributed
June 9: Pentecost: Holiday in Germany, no lecture
June 16:
14-16: Lecture
Atlantic deep ocean circulation
Simple model of meridional overturning Chapter 4.9-4.10 of the script
Application: Climate-Box-Model Chapter 5 of the script
16-17: Tutorial
Run the model Chapter 5 of the script
Model scenarios
Exercise 4 discussed
Exercise 5 collected
Exercise 6 distributed
June 23:
14-16: Practice
Application 1: PaLib
Application 2: Climate-Box-Model Chapter 5 of the script
Application 3: waves Chapter 4.6 of the script
16-17: Tutorial
Exercise 5 discussed
Exercise 6 collected
Exercise 7 distributed about shallow water equations, Rossby and Kelvin waves
June 30:
14-16: Lecture
Shallow water equations and waves
Equatorial waves: Theory of Matsuno
Plain waves Chapter 4.6-4.8 of the script
Brownian motion and stochastic climate model Chapter 6 of the script
Stochastic resonance
16-17: Tutorial
Exercise 6 discussed
Exercise 7 collected
Exercise 8 distributed: several aspects of the stochastic climate model
July 7:
14-16: Lecture
Stochastic climate model (continued) Chapter 6.2 of the script
The Boltzmann Equation and Navier Stokes Equation
Application: Lattice Boltzmann Dynamics Chapter 7 of the script
Simulation set-up of the Rayleigh-Bénard convection
System preparations and running a simulation Chapter 7.3 of the script
16-17: Tutorial
Exercise 7 discussed
Exercise 8 collected
Exercise 9 distributed: Applications of the Rayleigh-Bénard convection, Simple 2D ocean model
July 14:
14-16: Lecture
Climate variability and dynamics
Holocene dynamics
Dynamics of ice ages, Orbital parameters (small R Program)
Tides
Astronomical theory, Rectification of forcing, Spectra (small R Program)
Evaluate the radiation at 65N, 30N, 30S, 60S for June and December
--> will be done in Climate II
16-17: Tutorial
Exercise 8 discussed
Exercise 9 collected
July 21:
14-16: Lecture
"Summary" and preparation for the exam
16-17: Tutorial
Exercise 9 discussed
Re-Questions to all exercises
Aug 18 (Monday): Exam (written, 10-12)
The exam is based on the Exercises 1-9, and the general content of the lecture.
Following the rules of pep.
Dynamics II course 2014
Lecture: Monday, 14-16, room S3121
Prof. Dr. Gerrit Lohmann
Tutorial: Monday, 16-17, room S3121
Tutor: Paul Gierz
starting May 5, 2014
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 2014
-----
4 CP, Mandantory course in pep
-----
Preliminary time table:
Preparation of the students before May 5
Repeat the material of Dynamics I
Read part of the script Dynamics II Chapter 1 of the script
Prepare your own laptop (instal R) Chapter 3.2 of the script
May 5: Overview of Dynamics II
14-16: Lecture
Fluid Dynamics, Non-dimensional parameters: The Reynolds number
Elimination of the pressure term and vorticity Chapter 2 of the script
Rayleigh-Bénard convection and the Lorenz system
Simplifying the system: Galerkin approximation Chapter 3 of the script
16-17: Tutorial: Intro into R, instaling on the local PCs Chapter 3.2 of the script
Exercise 1 distributed: Some properties of the Lorenz equations
May 12:
14-16 Practice and Tutorial:
Install R and Examples
Logistic equation
Lorenz equation
Exercise 1 collected
Exercise 2 distributed
May 19:
14-16: Lecture
Rayleigh-Bénard convection and the Lorenz system (continued)
Bifurcations Chapter 3.3 of the script
Climate dynamics and circulation (Arctic Oscillation, ENSO), correlation and composite maps, significance
16-17: Tutorial
Exercise 1 discussed
Exercise 2 collected
Exercise 3 distributed
May 26:
Practice: PaLib, correlation maps
14-17
Exercise 2 discussed
Exercise 3 collected
Exercise 4 distributed
June 2:
14-16: Lecture Chapter 4.1-4.5 of the script
Ocean Dynamics
Coriolis effect
Scaling of the dynamical equations
Geostrophy
Vorticity Chapter 4.1-4.5 of the script
16-17: Tutorial
Exercise 3 discussed
Exercise 4 collected
Exercise 5 distributed
June 9: Pentecost: Holiday in Germany, no lecture
June 16:
14-16: Lecture
Atlantic deep ocean circulation
Simple model of meridional overturning Chapter 4.9-4.10 of the script
Application: Climate-Box-Model Chapter 5 of the script
16-17: Tutorial
Run the model Chapter 5 of the script
Model scenarios
Exercise 4 discussed
Exercise 5 collected
Exercise 6 distributed
June 23:
14-16: Practice
Application 1: PaLib
Application 2: Climate-Box-Model Chapter 5 of the script
Application 3: waves Chapter 4.6 of the script
16-17: Tutorial
Exercise 5 discussed
Exercise 6 collected
Exercise 7 distributed about shallow water equations, Rossby and Kelvin waves
June 30:
14-16: Lecture
Shallow water equations and waves
Equatorial waves: Theory of Matsuno
Plain waves Chapter 4.6-4.8 of the script
Brownian motion and stochastic climate model Chapter 6 of the script
Stochastic resonance
16-17: Tutorial
Exercise 6 discussed
Exercise 7 collected
Exercise 8 distributed: several aspects of the stochastic climate model
July 7:
14-16: Lecture
Stochastic climate model (continued) Chapter 6.2 of the script
The Boltzmann Equation and Navier Stokes Equation
Application: Lattice Boltzmann Dynamics Chapter 7 of the script
Simulation set-up of the Rayleigh-Bénard convection
System preparations and running a simulation Chapter 7.3 of the script
16-17: Tutorial
Exercise 7 discussed
Exercise 8 collected
Exercise 9 distributed: Applications of the Rayleigh-Bénard convection, Simple 2D ocean model
July 14:
14-16: Lecture
Climate variability and dynamics
Holocene dynamics
Dynamics of ice ages, Orbital parameters (small R Program)
Tides
Astronomical theory, Rectification of forcing, Spectra (small R Program)
Evaluate the radiation at 65N, 30N, 30S, 60S for June and December
--> will be done in Climate II
16-17: Tutorial
Exercise 8 discussed
Exercise 9 collected
July 21:
14-16: Lecture
"Summary" and preparation for the exam
16-17: Tutorial
Exercise 9 discussed
Re-Questions to all exercises
Aug 18 (Monday): Exam (written, 10-12)
The exam is based on the Exercises 1-9, and the general content of the lecture.
Following the rules of pep.
Lecture: Monday, 14-16, room S3121
Prof. Dr. Gerrit Lohmann
Tutorial: Monday, 16-17, room S3121
Tutor: Paul Gierz
starting May 5, 2014
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
- R. Müller, 2009: Klassische Mechanik -- vom Weitsprung zum Marsflug (de Gruyter)
- J. Marchal, R. A. Plumb, 2008. Atmosphere, Ocean and Climate Dynamics: An Introductory Text. Academic Press, 344 pp; videos
- R. H. Stewart, 2008: Introduction To Physical Oceanography, online Version: http://oceanworld.tamu.edu/home/course_book.htm
- T. F. Stocker, 2002. Einführung in die Klimamodellierung, Skript Universität Bern
- 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.
A script will be provided:
Gerrit Lohmann: Ocean Fluid Dynamics: Concepts, Scaling and Multiple Equilibria.
132 pp. Lecture Notes 2014
-----
4 CP, Mandantory course in pep
-----
Preliminary time table:
Preparation of the students before May 5
Repeat the material of Dynamics I
Read part of the script Dynamics II Chapter 1 of the script
Prepare your own laptop (instal R) Chapter 3.2 of the script
May 5: Overview of Dynamics II
14-16: Lecture
Fluid Dynamics, Non-dimensional parameters: The Reynolds number
Elimination of the pressure term and vorticity Chapter 2 of the script
Rayleigh-Bénard convection and the Lorenz system
Simplifying the system: Galerkin approximation Chapter 3 of the script
16-17: Tutorial: Intro into R, instaling on the local PCs Chapter 3.2 of the script
Exercise 1 distributed: Some properties of the Lorenz equations
May 12:
14-16 Practice and Tutorial:
Install R and Examples
Logistic equation
Lorenz equation
Exercise 1 collected
Exercise 2 distributed
May 19:
14-16: Lecture
Rayleigh-Bénard convection and the Lorenz system (continued)
Bifurcations Chapter 3.3 of the script
Climate dynamics and circulation (Arctic Oscillation, ENSO), correlation and composite maps, significance
16-17: Tutorial
Exercise 1 discussed
Exercise 2 collected
Exercise 3 distributed
May 26:
Practice: PaLib, correlation maps
14-17
Exercise 2 discussed
Exercise 3 collected
Exercise 4 distributed
June 2:
14-16: Lecture Chapter 4.1-4.5 of the script
Ocean Dynamics
Coriolis effect
Scaling of the dynamical equations
Geostrophy
Vorticity Chapter 4.1-4.5 of the script
16-17: Tutorial
Exercise 3 discussed
Exercise 4 collected
Exercise 5 distributed
June 9: Pentecost: Holiday in Germany, no lecture
June 16:
14-16: Lecture
Atlantic deep ocean circulation
Simple model of meridional overturning Chapter 4.9-4.10 of the script
Application: Climate-Box-Model Chapter 5 of the script
16-17: Tutorial
Run the model Chapter 5 of the script
Model scenarios
Exercise 4 discussed
Exercise 5 collected
Exercise 6 distributed
June 23:
14-16: Practice
Application 1: PaLib
Application 2: Climate-Box-Model Chapter 5 of the script
Application 3: waves Chapter 4.6 of the script
16-17: Tutorial
Exercise 5 discussed
Exercise 6 collected
Exercise 7 distributed about shallow water equations, Rossby and Kelvin waves
June 30:
14-16: Lecture
Shallow water equations and waves
Equatorial waves: Theory of Matsuno
Plain waves Chapter 4.6-4.8 of the script
Brownian motion and stochastic climate model Chapter 6 of the script
Stochastic resonance
16-17: Tutorial
Exercise 6 discussed
Exercise 7 collected
Exercise 8 distributed: several aspects of the stochastic climate model
July 7:
14-16: Lecture
Stochastic climate model (continued) Chapter 6.2 of the script
The Boltzmann Equation and Navier Stokes Equation
Application: Lattice Boltzmann Dynamics Chapter 7 of the script
Simulation set-up of the Rayleigh-Bénard convection
System preparations and running a simulation Chapter 7.3 of the script
16-17: Tutorial
Exercise 7 discussed
Exercise 8 collected
Exercise 9 distributed: Applications of the Rayleigh-Bénard convection, Simple 2D ocean model
July 14:
14-16: Lecture
Climate variability and dynamics
Holocene dynamics
Dynamics of ice ages, Orbital parameters (small R Program)
Tides
Astronomical theory, Rectification of forcing, Spectra (small R Program)
Evaluate the radiation at 65N, 30N, 30S, 60S for June and December
--> will be done in Climate II
16-17: Tutorial
Exercise 8 discussed
Exercise 9 collected
July 21:
14-16: Lecture
"Summary" and preparation for the exam
16-17: Tutorial
Exercise 9 discussed
Re-Questions to all exercises
Aug 18 (Monday): Exam (written, 10-12)
The exam is based on the Exercises 1-9, and the general content of the lecture.
Following the rules of pep.
Create a free web site with Weebly