Turbulence in neutral Fluids und Plasmas

Module PH2175

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

PH2175 is a semester module in English or German language at Master’s level which is offered in winter semester.

This Module is included in the following catalogues within the study programs in physics.

  • General catalogue of special courses
  • Specific catalogue of special courses for Applied and Engineering Physics

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
150 h 75 h 5 CP

Responsible coordinator of the module PH2175 is Ulrich Stroth.

Content, Learning Outcome and Preconditions


This module gives an introduction into turbulence research. It encompasses experimental observations as well was as intuitive model-based and theoretical approaches to describe turbulent processes. Starting point is the physics of low-dimensional chaotic systems. After a brief introduction into the basics of neutral fluids and magnetized plasmas the most important linear instabilities will be discussed before the influence of different types of nonlinearities on the dynamics of the fluid is demonstrated. Next fully developed turbulence will be treated for three- and two-dimensional fluids with an emphasis on magnetized plasmas. The different concepts will be illustrated with examples from astrophysics, fusion research and engineering sciences.  The lectures will be accompanied by computer exercises using numerical techniques to analyze time traces from turbulence experiments. This includes Fourier and wavelet techniques as well as non-linear methods such as bicoherence analyses.

Learning Outcome

After successful completion of this module the student is able to

  1. explain the basic properties of turbulence
  2. name the characteristic differences between chaos and turbulence
  3. explain the important mechanisms leading to linear instabilities
  4. describe experimental techniques to investigate turbulence
  5. apply the basic numerical techniques to analyze turbulent time traces


Lectures up to the Bachelor level

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 4 Turbulenz in neutralen Fluiden und Plasmen Manz, P. Mittwoch, 14:00–16:00

Learning and Teaching Methods

Blackboard lecture, beamer presentations,  conventional and computer exercises


Exercises, internet pages, additional literature


  • Davidson, Turbulence, and Introduction for Scientists and Engineers, Oxford Univ. Press 2004
  • Frisch, Turbulence; the Legacy of A.N. Kolmogorov, Cambridge University Press. 1995
  • Pope, Turbulent Flows, Cambridge University Press, 2000
  • Stroth, Plasmaphysik, Phänomene, Grundlagen, Anwendungen, VIEWEG+TEUBNER Press, New York", Wiesbaden 2011

Module Exam

Description of exams and course work

In an oral exam the learning outcome is tested using comprehension questions and sample problems.

In accordance with §12 (8) APSO the exam can be done as a written test. In this case the time duration is 60 minutes.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

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