| Course label : | Turbulence essentials |
|---|---|
| Teaching departement : | CMA / |
| Teaching manager : | Mister JEAN-MARC FOUCAUT |
| Education language : | |
| Potential ects : | 2 |
| Results grid : | |
| Code and label (hp) : | MR_TUR_CMA_TES - Turbulence essentials |
Education team
Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers
Summary
This course is taught by Prof. JC VASSILICOS Description: This course starts with describing what turbulence is for Newtonian fluids (Navier-Stokes equation, high Reynolds number, unsteadiness and randomness, turbulent kinetic energy dissipation, vorticity, in general three-dimensional) and limits itself to constant-density turbulent flows of Newtonian fluids. It then introduces the need for statistical methods, the ergodic theorem, the Reynolds decomposition and Reynolds stresses, the Boussinesq eddy viscosity hypothesis, and the relation of Reynolds stresses to vorticity. Then the course proceeds with the study of some basic wall flows: turbulent channel flow and turbulent boundary layers with and without zero mean pressure gradient. Much of their study is done with one-point statistics as a lot can be derived for these flows from the one-point momentum balance but the energy balance is also introduced as it is evidently equally important both for these particular wall flows but also in general, and in particular for turbulence modeling. A crucial aspect of the energy balance is the turbulence energy dissipation rate which is independent of viscosity at high enough Reynolds number. The course closes with a brief introduction to one-point turbulence modeling.
Educational goals
At the end of the course, the student will be able to: - use statistical methods in relation to the Navier-Stokes equation - understand the basic physics of wall turbulence and apply them to turbulence modeling - understant some basics of turbulence modeling
Sustainable development goals
Knowledge control procedures
Final Exam
Comments: The evaluation will be done by a terminal oral exam.
Online resources
Written turbulence course notes Exercises
Pedagogy
Class sessions with active student participation will be set up with classical blackboard teaching. Sessions will be followed by tutorial sessions with exercises to be done independently during class and/or prepared at home. At the next tutorial session, these exercises will be corrected.
Sequencing / learning methods
| Number of hours - Lectures : | 20 |
|---|---|
| Number of hours - Tutorial : | 0 |
| Number of hours - Practical work : | 0 |
| Number of hours - Seminar : | 0 |
| Number of hours - Half-group seminar : | 0 |
| Number of student hours in TEA (Autonomous learning) : | 0 |
| Number of student hours in TNE (Non-supervised activities) : | 0 |
| Number of hours in CB (Fixed exams) : | 0 |
| Number of student hours in PER (Personal work) : | 0 |
| Number of hours - Projects : | 0 |
Prerequisites
Good level in vector calculus and mathematics in general, and a prior introduction to fluid dynamics