Laboratoire de Mécanique des Fluides et d'Acoustique, UMR 5509 Centre Acoustique Laboratoire de Mécanique des Fluides et d'Acoustique
Center for Acoustic Research - 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 - ECL - 16 Oct. 2019)
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logo CAA Turbulence & stability waves in fluids


Slides 2018-2019


Classrooms & homeworks

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logo CAA Order, chaos and fractals


Transparents (au fur et à mesure ...)


Exercices 2019


Bibliographie 2019
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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%). There is an additional final exam (closed book and open notes) for Master students. The final mark will be the max between – the final exam mark – and (0.4 final exam + 0.4 exercices + 0.2 lab work).


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 2019-2020


Master exam
Wednesday xx December 2019, at 2pm, 3 hours, room yy (closed book but open notes)
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logo CAA Propagation en écoulement et aéroacoustique (ENSTA, 2ème année, MF208)


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



Bibliographie 2019 (commentaire d'article associé au projet numérique)
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