110 http://isa.epfl.ch/imoniteur_ISAP/ itffichecours.txt?path=EPFL.Etu.FicheCours.HeaderFR itffichecours.txt?path=EPFL.Etu.FicheCours.GlobalNav_js fr 2026 944263 6683147 944263 2305107546 2305107546 0 0 Genie mecanique GM STI Faculté des sciences et techniques de l'ingénieur School of Engineering !itffichecours.htm?ww_i_matiere=1887888435&ww_x_anneeAcad=2305107546&ww_i_section=944263&ww_i_niveau=6683147 1696552884 1696552963 2024-2025 COURSE BOOKLET ME-467 Turbulence Turbulence Lecturers Schneider Tobias Language of teaching English Cursus Computational science and Engineering(2024-2025, MA-CO - Master 2023)
Computational science and Engineering(2024-2025, MA-CO - Master 2024)
Computational science and engineering minor(2024-2025, Mineur : Science et ingénierie computationnelles 2024-25)
Mechanical Engineering(2024-2025, GM - Master 2023)
Mechanical Engineering(2024-2025, GM - Master 2024)
Mechanical engineering minor(2024-2025, Mineur : Génie mécanique 2024-25)
Mechanics (edoc)(2024-2025, EDME 2024-25)
SemesterMand.OptionFilières
x
Ex
MA2, MA4xA
 Credits 5 Withdrawal Unauthorized It is not allowed to withdraw from this subject after the registration deadline. Session Summer Workload 150h Exam During the semester Number of positions Il n'est pas autorisé de se retirer de cette matière après le délai d'inscription. Semester Spring Weeks 14 Hours 5 weekly
Courses 3 weekly
Exercises 2 weekly
Study planSemesterMand.OptionFilières
EDME - Mechanics 2024-25x
Génie mécanique 2024-25MA2xA
Génie mécanique 2024-25MA4xA
Mineur : Génie mécanique 2024-25Ex
Mineur : Science et ing. computationnelles 2024-25Ex
Science et ingénierie computationelles 2024-25MA2xA
Science et ingénierie computationelles 2024-25MA4xA
Cursus Sem. Type
Computational science and Engineering MA2, MA4 Opt.
Computational science and engineering minor E Opt.
Mechanical engineering minor E Opt.
Mechanical engineering MA2, MA4 Opt.
Mechanics Opt.
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

Basic BA-level Fluid Mechanic course (e.g. ME-280, ME-344 or equivalent)

 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 the physical differences between laminar and turbulent flows, AH4
  • Estimate relevant length- and timescales of turbulent flows based on Kolmogorov theory, AH28
  • Link flow behaviour with non-dimensional parameters (e.g. Reynolds and Mach numbers), AH2
  • Describe the physical behavior of a flow in scientific terms, AH1
  • Integrate deterministic chaotic flow dynamics with a probabilistic description of turbulence, AH29
  • Assess / Evaluate turbulence simulation concepts including DNS, RANS and LES. Describe their advantages and limitations, AH30
 Transversal skills
  • Use a work methodology appropriate to the task.
  • Use both general and domain specific IT resources and tools
  • Write a scientific or technical report.
 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
  • Turbulent flows / S. B. Popehttp://library.epfl.ch/en/beast?isbn=9780521591256
  • Turbulence: the legacy of A. N. Kolmogorov / U. Frischhttp://library.epfl.ch/en/beast?isbn=0521457130
 Moodle Link Génie mécanique, 2024-2025, Master semestre 2 Mechanical Engineering, 2024-2025, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Master semestre 2 MA2 ETE Master semester 2 MA2 Génie mécanique GM Mechanical Engineering GM
Génie mécanique GM Mechanical Engineering GM
A optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
Génie mécanique, 2024-2025, Master semestre 4 Mechanical Engineering, 2024-2025, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Master semestre 4 MA4 ETE Master semester 4 MA4 Génie mécanique GM Mechanical Engineering GM
Génie mécanique GM Mechanical Engineering GM
A optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
Science et ingénierie computationnelles, 2024-2025, Master semestre 2 Computational science and Engineering, 2024-2025, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Master semestre 2 MA2 ETE Master semester 2 MA2 Science et ingénierie computationnelles MA_CO Computational science and Engineering MA_CO
Mathématiques MA Mathematics MA
A optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
Science et ingénierie computationnelles, 2024-2025, Master semestre 4 Computational science and Engineering, 2024-2025, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Master semestre 4 MA4 ETE Master semester 4 MA4 Science et ingénierie computationnelles MA_CO Computational science and Engineering MA_CO
Mathématiques MA Mathematics MA
A optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
Mineur en Génie mécanique, 2024-2025, Semestre printemps Mechanical engineering minor, 2024-2025, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Semestre printemps E ETE Spring semester E Mineur en Génie mécanique MIN_GM Mechanical engineering minor MIN_GM
optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
Mineur en Science et ingénierie computationnelles, 2024-2025, Semestre printemps Computational science and engineering minor, 2024-2025, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Semestre printemps E ETE Spring semester E Mineur en Science et ingénierie computationnelles MIN_MA_CO Computational science and engineering minor MIN_MA_CO
optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
Mécanique (edoc), 2024-2025 Mechanics (edoc), 2024-2025 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2024-2025 Mécanique (edoc) EDME Mechanics (edoc) EDME
optionnel optional
3 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Schneider Tobias 231182
Génie mécanique GM Mechanical Engineering GM
1887888435 Turbulence Turbulence 5
Pendant le semestre During the semester Crédit Credits 5 Session été Session summer ETE ETE
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HTML_fin JS_debut \x26#961; JS_fin CODE140504636 BOOLEAN_Symbol 1 BaliseJS_debut \x5bRHO\x5d BaliseJS_fin Balise_debut [RHO] Balise_fin FO_debut [inline]=&#929; FO_fin HTML_debut &#929; HTML_fin JS_debut \x26#929; JS_fin CODE148292791 BOOLEAN_Symbol BaliseJS_debut \x5bepsilon\x5d BaliseJS_fin Balise_debut [epsilon] Balise_fin FO_debut [inline]=&#949; FO_fin HTML_debut &#949; HTML_fin JS_debut \x26#949; JS_fin CODE169976220 BOOLEAN_Symbol BaliseJS_debut \x5blig\x5d BaliseJS_fin Balise_debut [lig] Balise_fin FO_debut [inline]=&#x203A;&#160;&#160; FO_fin HTML_debut &#x203A;&#160;&#160; HTML_fin JS_debut \x26#x203A;\x26#160;\x26#160; JS_fin CODE148292899 BOOLEAN_Symbol BaliseJS_debut \x5bEPSILON\x5d BaliseJS_fin Balise_debut [EPSILON] Balise_fin FO_debut [inline]=&#917; FO_fin HTML_debut &#917; HTML_fin JS_debut \x26#917; JS_fin BALISETXT_SAUT BOOLEAN_Symbol BaliseJS_debut \x5bbr\x2f\x5d BaliseJS_fin Balise_debut [br/] Balise_fin FO_debut FO_fin HTML_debut <br/> HTML_fin JS_debut \x3cbr\x2f\x3e JS_fin 1887888435 Turbulence Turbulence anglais Schneider Tobias 231182 944263