WiSe 16/17: Mathematische Modellierung in der Klimaforschung
The Climate is defined by meteorologists essentially as the statics of weather over an extended time period, where this period is typically set to 30 years. This rough description gives us a hint at what is involved in studying Earth's climate from a scientific perspective:
We need to understand the essence of (daily) weather and how the cumulative effects of its fluctuations feed back on its long-time behavior. At the same time, we need to know how long-time trends in the driving forces of weather, such as ocean surface temperatures, sun's irradiation, or the land surface use and soil moisture influence affect the weather statistics. Last but not least we need to have a clear notion of what "statistics" means in the context of a dynamically evolving single trajectory of the single dynamical system "Earth".
This course focuses on techniques of mathematical modelling that assist scientists in exploring the listed issues systematically.
Depending on the participants' interests, we select from
1. Multiscale asymptotic analysis for atmospheric flows,
2. Numerical methods for geophysical flow simulation,
3. Data-based characterization of atmospheric "statistics"
Reading material will be provided depending on the choice of topics
for the semester.
Good starting points for items 1. through 3. are, respectively,
Scale-Dependent Asymptotic Models for Atmospheric Flows,
Ann. Rev. Fluid Mech., vol. 42, 249-274 (2010)
Numerical Methods for Fluid Dynamics with Applications to Geophysics,
Springer, Computational Science and Engineering Series, (2010)
Metzner Ph., Putzig L., Horenko I.,
Analysis of persistent nonstationary time series and applications
Comm. Appl. Math. & Comput. Sci., vol. 7, 175-229 (2012)
16 Class schedule