Multiscale Hydrodynamic Phenomena:
Method of matched asymptotic expansions,
Multiple scale analysis, Boundary Layers.

up to date 04/11/11
http://www.lmm.jussieu.fr/~lagree/COURS/M2MHP/index.html


http://www.master.sdi.upmc.fr/modules/resources/download/gestionsdi/Mecanique/M2/M2-Mecanique_fluides/planningM2.MF2A.html

NSF01-Multiscale hydrodynamic phenomena-salle 632 Bâtiment F



C01 30 septembre  08h30 SZ   10h45 PYL1
C02 07 octobre  08h30 SZ   10h45 PYL2
C03 14 octobre  08h30 SZ   10h45 PYL3
C04 21 octobre  08h30 SZ   10h45 PYL4 
C05 28 octobre  08h30 SZ   10h45 PYL5
C06 04 novembre 08h30 "partiel"
C00 11 novembre
C07 18 novembre 08h30 SZ   10h45 PYL6
C09 25 novembre 08h30 PYL?  10h45 PYL7

Examination 2 december

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Lecture  1 and 2: 30sept 11 and 7 oct 11
- definition of asymptotic developments  
- simple example of singular problem
- Friedrich problem
- Friedrich 2nd order 
- another simple example the pipe with suction
not done:
- a non linear example: shocks and boundary layers
- the Logarithm case

download the file of lecture 1 and 2.


Books for these chapters:
Méthodes AsymptotiquesMauss and Cousteix  
Asymptotic analysis and boundary layers Mauss and Cousteix  
Perturbation methods in fluid mechanicsM. Van Dyke
J. Perturbation methods Hinch
Advanced Mathematical Methods for Scientists and Engineers: Carl M. Bender,Steven A. Orszag,

Web:
scholarpedia
Hunter course

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Lecture 3 and 4 :
Multiple scale analysis

download the first part file of lecture (I am sorry as this text is in french, but equations are in english).

Books for this chapter:
Advanced Mathematical Methods for Scientists and Engineers: Carl M. Bender,Steven A. Orszag, chapter 11.
J. Hinch Perturbation methods Cambridge University Press, (1991)
Mauss and Cousteix  Méthodes Asymptotiques
Mauss and Cousteix  Asymptotic analysis and boundary layers

Web:
scholarpedia

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Lecture  5:
Self similar solutions
download the file (caution, explicit sexual content.)

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Lecture 6 :
- Boundary layer

download the file of lecture 6

Books for these chapters:
J. Kevorkian, jd Cole, Perturbation methods in applied mathematics. Applied Mathematical Sciences, vol. 34, Springer-Verlag, Berlin and New York, 1981
but google book has new editions....
Landau Lifshitz, Fluid mechanics 
Germain Mécanique Tome II
Cousteix Books; Mauss Cousteix Books
Schlichting Gersten and Schlichting Boundary Layer Theory

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Lecture 7
Boundary Layer separation, Triple Deck, Interactive Boundary Layer

download the file and the file  of lecture 7

Books for this chapters:
Schlichting Gersten and Schlichting Boundary Layer Theory on the same page click on
Modeling and computation of boundary-layer flows by Tuncer Cebeci, Jean Cousteix
and
Introduction to interactive boundary layer theory by Ian John Sobey
there click on
Asymptotic theory of separated flows by V. V.Sychev et al.

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Exam :
Exam
download the file of exam 09.
download the file of exam 10.
download the file of exam 11.