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Fiches de cours 2017-2018
Turbulence
ME-467
Enseignant(s) :
Schneider TobiasLangue:
English
Summary
This course provides an introduction to the physical phenomenon of turbulence, its probabilistic description and modeling approaches including RANS and LES. Students are equipped with the basic knowledge to tackle complex flow problems in science and engineering practice.Content
Turbulence is a ubiquitous physical phenomenon observed when fluids - liquids or gases - flow at high speeds. The fluctuating chaotic non-equilibrium phenomenon modifies the lift and drag of airfoils and affects the efficiency of mixing and combustion. It also is the driving force creating our weather and influences timescales on which stars and galaxies form in the universe.
This course provides an introduction to the physical phenomenon of turbulence, its probabilistic description and modeling approaches. Thereby students will be equipped with the fundamental understanding of turbulence that allows to tackle specific flow problems in science and engineering practice.
Specific topics covered include
- Based on the Navier-Stokes equations together with symmetry assumptions, a probabilistic description of turbulence will be developed.
- The results of classical Kolmogorov theory for turbulence in an incompressible Newtonian flow will be interpreted in terms of a phenomenological description of physical processes in turbulence. Specific concepts include energy cascades and the quantitative estimation of relevant length- and timescales of the turbulent dynamics.
- The need for modeling turbulent flows will be motivated and common turbulence models as well as associated simulation strategies will be discussed.
- Finally, current research topics including intermittency corrections of the classical Kolmogorov results, transition to fully developed turbulence and turbulence decay will be covered.
Keywords
turbulence, non-equilibrium statistical physics
Learning Prerequisites
Required courses
Incompressible fluid mechanics
Important concepts to start the course
basics of statistics
variance and mean
Fourier analysis
Navier-Stokes equations
Learning Outcomes
By the end of the course, the student must be able to:- Describe a flow in scientific terms, AH1
- Describe the physical differences between laminar and turbulent flows, AH4
- Explain the connection between deterministic chaotic flow dynamics and a probabilistic description of turbulence.
- Estimate relevant length- and timescale of turbulent flows.
- Describe standard turbulence modeling concepts, their advantages and limitations.
- Choose appropriate turbulence models for engineering applications, AH26
- Differentiate between transitional and fully developed turbulence.
- Link flow behaviour with non-dimensional parameters (e.g. Reynolds and Mach numbers), AH2
Transversal skills
- Use a work methodology appropriate to the task.
- Use both general and domain specific IT resources and tools
- Make an oral presentation.
Teaching methods
Lectures and homework
Assessment methods
- Graded project exercise
Resources
Bibliography
- U. Frisch, Turbulence: the legacy of A. N. Kolmogorov
- S. B. Pope, Turbulent flows
Ressources en bibliothèque
Moodle Link
Dans les plans d'études
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
- Gestion de l'énergie et durabilité, 2017-2018, Master semestre 1
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
- Gestion de l'énergie et durabilité, 2017-2018, Master semestre 3
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
- SemestreAutomne
- Forme de l'examenPendant le semestre
- Crédits
3 - Matière examinée
Turbulence - Cours
2 Heure(s) hebdo x 14 semaines - Exercices
1 Heure(s) hebdo x 14 semaines
- Semestre
Semaine de référence
Lu | Ma | Me | Je | Ve | |
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8-9 | |||||
9-10 | |||||
10-11 | |||||
11-12 | |||||
12-13 | |||||
13-14 | |||||
14-15 | |||||
15-16 | |||||
16-17 | |||||
17-18 | |||||
18-19 | |||||
19-20 | |||||
20-21 | |||||
21-22 |
légende
- Semestre d'automne
- Session d'hiver
- Semestre de printemps
- Session d'été
- Cours en français
- Cours en anglais
- Cours en allemand