Digital Teaching
For the course "Introduction to Turbulence" the regular face-to-face classes will be offered in the summer semester. As an additional service, we will offer electronic material for self-study. The lecture notes and exercises will be available in the Moodle course.
Please be sure to register for the corresponding Moodle course as well. All current information and learning materials will be posted in Moodle.
Course Contents
Origin of turbulence and introduction of stability theory;
introduction to turbulence and its statistical description;
Reynolds decomposition, filtering and averaging the basic equations;
correlation equations (one- and multi point);
isotropic turbulence and the Karman-Howarth equation;
turbulent decay; turbulent length-scales;
Kolmogorov theory; energy spectrum;
deeper investigations of isotropic turbulence (Intermittency);
turbulent wall bounded flows;
boundary and turbulent scaling laws;
free shear flows;
detached turbulent flows.
Literature
Lecture notes (on moodle)
Pope: Turbulent Flows, Cambridge Universtity press 2000
Preconditions
Lectures Technical Mechanics IV or Basic Fluid Mechanics.
Knowledge of ordinary and partial differential equations.
Expected Number of Participants
50
Official Course Description
Learning Outcomes
On successful completion of this module, students should be able to:
1. know the the regularities for the statistic description of turbulence, based on the Navier-Stokes equations.
2. express basic definitions for turbulent parameters such as length and time scales.
3. explain the deduction of the Kolmogorov theory and turbulent energy spectra as well as extensions for higher correlations
4. explain the deduction of the two- and multi-point correlation ecquations
5. distinguish a multiplicity of classical flow forms e.g. near-wall or free turbulent flows and to outline these flows under specification of the respective scale laws
6. know the modelling concepts of the different RANS concepts, to distinguish them on the basis of their dis- and advantages and to outline and clarify the main modelling concepts.
7. describe the substantial ideas of the Large Eddy Simulation on the basis of equations, to show advantages as well as carry out a delimitation of the RANS models.
8. delimit the possibilities and limitations of all calculation methods.
Online Offerings
moodle
For the course "Introduction to Turbulence" the regular face-to-face classes will be offered in the summer semester. As an additional service, we will offer electronic material for self-study. The lecture notes and exercises will be available in the Moodle course.
Please be sure to register for the corresponding Moodle course as well. All current information and learning materials will be posted in Moodle.
Course Contents
Origin of turbulence and introduction of stability theory;
introduction to turbulence and its statistical description;
Reynolds decomposition, filtering and averaging the basic equations;
correlation equations (one- and multi point);
isotropic turbulence and the Karman-Howarth equation;
turbulent decay; turbulent length-scales;
Kolmogorov theory; energy spectrum;
deeper investigations of isotropic turbulence (Intermittency);
turbulent wall bounded flows;
boundary and turbulent scaling laws;
free shear flows;
detached turbulent flows.
Literature
Lecture notes (on moodle)
Pope: Turbulent Flows, Cambridge Universtity press 2000
Preconditions
Lectures Technical Mechanics IV or Basic Fluid Mechanics.
Knowledge of ordinary and partial differential equations.
Expected Number of Participants
50
Official Course Description
Learning Outcomes
On successful completion of this module, students should be able to:
1. know the the regularities for the statistic description of turbulence, based on the Navier-Stokes equations.
2. express basic definitions for turbulent parameters such as length and time scales.
3. explain the deduction of the Kolmogorov theory and turbulent energy spectra as well as extensions for higher correlations
4. explain the deduction of the two- and multi-point correlation ecquations
5. distinguish a multiplicity of classical flow forms e.g. near-wall or free turbulent flows and to outline these flows under specification of the respective scale laws
6. know the modelling concepts of the different RANS concepts, to distinguish them on the basis of their dis- and advantages and to outline and clarify the main modelling concepts.
7. describe the substantial ideas of the Large Eddy Simulation on the basis of equations, to show advantages as well as carry out a delimitation of the RANS models.
8. delimit the possibilities and limitations of all calculation methods.
Online Offerings
moodle
- Lecturer: OberlackMartin
- Lecturer: WangYongqi
Semester: ST 2025