| Libellé du cours : | Turbulence essentials |
|---|---|
| Département d'enseignement : | CMA / Chimie et Matière |
| Responsable d'enseignement : | Monsieur JEAN-MARC FOUCAUT |
| Langue d'enseignement : | |
| Ects potentiels : | 2 |
| Grille des résultats : | Grade de A+ à R |
| Code et libellé (hp) : | MR_TUR_CMA_TES - Turbulence essentials |
Equipe pédagogique
Enseignants : Monsieur JEAN-MARC FOUCAUT
Intervenants extérieurs (entreprise, recherche, enseignement secondaire) : divers enseignants vacataires
Résumé
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.
Objectifs pédagogiques
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
Objectifs de développement durable
Modalités de contrôle de connaissance
Contrôle Terminal
Commentaires: The evaluation will be done by a terminal oral exam.
Ressources en ligne
Written turbulence course notes Exercises
Pédagogie
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.
Séquencement / modalités d'apprentissage
| Nombre d'heures en CM (Cours Magistraux) : | 20 |
|---|---|
| Nombre d'heures en TD (Travaux Dirigés) : | 0 |
| Nombre d'heures en TP (Travaux Pratiques) : | 0 |
| Nombre d'heures en Séminaire : | 0 |
| Nombre d'heures en Demi-séminaire : | 0 |
| Nombre d'heures élèves en TEA (Travail En Autonomie) : | 0 |
| Nombre d'heures élèves en TNE (Travail Non Encadré) : | 0 |
| Nombre d'heures en CB (Contrôle Bloqué) : | 0 |
| Nombre d'heures élèves en PER (Travail PERsonnel) : | 0 |
| Nombre d'heures en Heures Projets : | 0 |
Pré-requis
Good level in vector calculus and mathematics in general, and a prior introduction to fluid dynamics