Please contact us if you are interested in a turbulent Bachelor or Master project! Possible topics include, but are not limited to:
- statistical mechanics of turbulence
- simulation of turbulent flows
- turbulent convection
- turbulence in active matter
- magnetohydrodynamic turbulence & dynamo problem
- analytical models of turbulence
Winter Semester 2017/18: Turbulence Meets Active Matter
Winter Semester 2016/17: Introduction to Turbulence
In this course, the students will be introduced to the phenomenon of turbulence as a complex system that can be treated with methods from non-equilibrium statistical mechanics. The necessary statistical tools will be introduced and applied to obtain classical and recent results from turbulence theory. Furthermore, current numerical and experimental techniques will be discussed.
- S.B. Pope, Turbulent Flows, Cambridge University Press (2000)
- P.A. Davidson, Turbulence: An Introduction for Scientists and Engineers, Oxford University Press (2004)
- U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov, Cambridge University Press (1995)
The course notes will be continuously extended and updated over the semester. Note that this is the first iteration of the course, so please do not hesitate to contact me if you spot any errors, typos, rough edges etc.
- introductory presentation (without the movies)
- equations of motion & the Reynolds number
- energy budget, decaying turbulence and the dissipation anomaly
- Burgers equation
- aspects of probabilty theory
- von-Karman-Howarth equation
- Kolmogorov's phenomenology
- Lagrangian aspects
The solutions to the homeworks are intermittently updated.