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Laboratoire de Mécanique des Fluides et d'Acoustique, UMR 5509 Centre Acoustique Laboratoire de Mécanique des Fluides et d'Acoustique
Center for Acoustics - LMFA
   ECL   LMFA 

Initial training at ECL

Ecole Centrale de Lyon



Continuing Education

Master of Sciences in Acoustics of Lyon

  Ercoftac SIG 39 Aeroacoustics
Ecole Polytechnique Executive Education


logo CAA Fluid dynamics and Energy - UE FLE 1A, S5 (corrected and updated version - 18 oct. 2018)
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logo CAA Linear and nonlinear wave propagation in fluids waves in fluids


Slides 2017-2018


Classrooms & homeworks

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logo CAA Physics of turbulent flow


The course covers various aspects of the physics of turbulent flows, with the aim to illustrate some recent results in a practical ways from experimental and numerical studies. The main objectives are the mastering of basic concepts (turbulence production, turbulence boundary layer, role of vorticity, Kolmogorov's theory), the development of skill in turbulence modelling and in the analysis of results, and the acquisition of a comprehensive view of experimental and numerical approaches. Homeworks are regularly proposed (4 exercices in a list of most than 10, freely selection, may involve signal processing and the development of simple models using Matlab), 2 practical works are also proposed (numerical simulation of the mean flow in a channel, and hot wire anemometer measurements in a turbulent round jet) as well as a final small class. The final mark is obtained through continuous assessment (exercices 70% and practical works 30%).


Bailly, C. & Comte-Bellot, G., 2003, Turbulence, CNRS éditions, Paris. (out of print, can be borrowed from the ECL library)
Bailly, C. & Comte-Bellot, G., 2015, Turbulence (in english), Springer, ISBN 978-3-319-16159-4
(360 pages, 147 illustrations).
Davidson, P. A., 2004, Turbulence. An introduction for scientists and engineers,
Oxford University Press, Oxford.
Pope, S.B., 2000, Turbulent flows, Cambridge University Press, Cambridge.
Turbulence book Turbulence book


Slides (progressively available)


Homework 2018-2019


Master exam, xx January 2019, 3 hours, room 12.
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logo CAA Propagation en écoulement et aéroacoustique (ENSTA, 2ème année, MSE12)


ENSTA ParisTech Saclay
  • Introduction, enjeux et motivations
  • Propagation acoustique en milieu non homogène (océan, atmosphère), linéarisation des équations d'Euler, acoustique géométrique et théorie des rayons
  • Description de sources acoustiques élémentaires, couplages aéroacoustiques
  • Théorie de Lighthill. Application au bruit des jets
  • Quelques exemples de calcul direct du bruit d'origine aérodynamique


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