The students are familiar with the physical basics and the mathematical description possibilities of turbulent flows and can deal with the basic concepts of turbulent flows such as rotation and circulation. They are able to describe planar and spatial turbulent flows in a stationary and time-dependent form with regard to structure and time behavior. The students can implement the common vortex identification criteria, apply them to sample flows and interpret the characteristic properties of the flows under investigation.

Content of lecture:

• Definition of a vortex
• Theoretical description of vortex flow
• Steady and time-dependent solutions of vortex flows
• Helmholtz's vortex theorems
• Vorticity equation
• Properties of various vortical structures
• Introduction of various vortec identification approaches

A practice:

Implementation of selected identification criteria in Matlab Matlab-based evaluation of selected flows

Literaturhinweise:
Spurk, J.H.: Strömungslehre, Springer, 1996
Green, S.I.: Fluid Vortices, Kluwer Academic Publishers, 1995
Wu, J.-Z. et al.: Vorticity and Vortex Dynamics, Springer, 2006
Saffman, P.G.: Vortex Dynamics, Cambrigde University Press, 1992