{ListeTraductions,#GET{ListeTraductions},#ARRAY{#LANG,#URL_ARTICLE}} {ListeTraductions,#GET{ListeTraductions},#ARRAY{#LANG,#URL_ARTICLE}}
 

Turbulence

Quick links

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Enseignant : Sergio Chibarro
Chargé de TD :
Physique de la matière condensée : Option
Physique macroscopique et complexité (ex physique des liquides) : Option
Physique quantique : Option
Physique théorique : Option
ECTS : 3
Langue d’enseignement : Anglais
Site web :

Description

Objectives : the aim of the course is to provide a general presentation of turbulence theory from the point of view of statistical physics and notably in the framework of nonlinear physics.
Some examples will make clear the variety of phenomena which can be considered turbulent. The relation to dynamical systems and statistical mechanics concepts will be emphasised. The few exact results will be derived. The phenomenology will be presented in terms of scaling. In particular, the multifractal description of turbulence will be discussed. Some words will be spent, finally, about current subjects like wave and Lagrangian turbulence.
Basic notion of Fluid Mechanics and probability theory are required.

Contents

  • Introduction and examples
  • Turbulence and dynamical systems
  • Kolmogorov 1941 theory
  • Vorticity dynamics and 2D turbulence
  • Turbulence and statistical mechanics
  • Phenomenology of hydrodynamic turbulence
  • Intermittency and multifractal analysis
  • Few words about predictability in turbulence
  • Perspectives

Bibliography

Landau & Lifschitz, Fluid Mechanics, Pergamon Monin & Yaglom, Statistical Fluid Mechanics Dover Rose & Sulem, Le Journal de Physique 39(5) 1978 Frisch, Turbulence, Cambridge Bohr, Jensen, Paladin, Vulpiani, Dynamical Systems Approach to Turbulence, Cambridge

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :

All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr