Hydrodynamic Stability (Theoretical investigation of instabilities in fluid dynamical systems and other relevant fields)
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.
MW2478 is a semester module in English language at Master’s level which is offered in summer semester.
This Module is included in the following catalogues within the study programs in physics.
- Catalogue of non-physics elective courses
|Total workload||Contact hours||Credits (ECTS)|
|90 h||30 h||3 CP|
Content, Learning Outcome and Preconditions
- Modal Analysis
- Linear Stability Analysis
- Primary Instabilities in shear flows
- Secondary Instabilities
- Absolute and convective instabilities
- Nonlinear instability
- Non-modal growth (transient growth)
- transition to turbulence
- thermo-acoustic instability
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||2||Hydrodynamic Stability(MW2478)||Karimi, M.||
Learning and Teaching Methods
To exercise and show proficiency in applying the different approaches and theories to the mathematical description of modal and non-modal instabilities, as well as ability to apply them to non-linear scenarios like explaining the process leading to laminar-turbulent transition, the students will have to hand in homework problem sets and deliver a project report through hands-on learning by both individual- and team-based activities and implementing numerical schemes and programming.
- Hydrodynamic and Hydromagnetic Stability, Chandrasekhar S., Dover (1990).
- Theory and Computation of Hydrodynamic Stability, Criminale, W.O., Jackson, T.L., and, Joslin, R. D., Cambridge University Press (2010).
- Stability and Transition in Shear Flows, Schmid and Henningson, Springer-Verlag (2001).
- Instabilities of Flows and Transition to Turbulence, Sengupta, T.K., CRC Press (2012). DOI: 10.1201/b11900
- Advances in Transitional Flow Modeling: Applications to Helicopter Rotors Sheng, C., Springer International Publishing (2017). DOI: 10.1007/978-3-319-32576-7
Description of exams and course work
The students have to show proficiency in applying different approaches and theories to the mathematical description of modal and non-modal instabilities. The presented concepts need to be applied to non-linear scenarios as well like explaining the process leading to laminar-turbulent transition.
There is a possibility to take the exam in the following semester.