ECOLE POLYTECHNIQUE - DEPARTMENT OF MECHANICS
http://www.polytechnique.edu

Master of Mechanics

Specialty: Fluid Mechanics, Fundamentals & Applications - Year M2

in partnership with Université Pierre et Marie Curie

Academic year 2014-2015

Time schedule Year M2 2014-2015

Program directors:
David Quéré, Ecole Polytechnique
E-mail: david.quere@espci.fr Tél : +33 (0)1 40 79 58 58


Stéphane Zaleski, Université Pierre et Marie Curie
E-mail: zaleski@lmm.jussieu.fr  Tel: +33 (0)1 44 27 25 58

 

ladhyx
 

Opinion of former students regarding the program

Presentation

The objective of this second-year M2 specialty program (60 ECTS) of the Master of Mechanics is to give students an advanced knowledge of fluid mechanics to prepare them for a successful career in academia or industry. All courses are taught in English by prominent scholars who are internationally recognized in their field. Eligible students should have successfully completed an undergraduate degree in science or engineering. They may apply directly to the program from another academic institution or they may enroll after having completed year M1 at Ecole Polytechnique. A basic knowledge of fluid mechanics is expected in order to fully benefit from the program.

An academic advisor is assigned to each student in order to help him/her select a coherent set of courses which is most appropriate to his/her inclination and career goals. Courses take place during semester S3 (September - February). During the last semester S4 (March – August), students have to complete a six-month internship in France or abroad, which concludes with the defense of a Master’s thesis (Past examples of Master's thesis topics).

The program is jointly organised with Université Pierre et Marie Curie (UPMC). At Ecole Polytechnique, the program is widely based on the research and tutorial resources of the Hydrodynamics laboratory (LadHyX).

A poster of the program and a flyer may be downloaded

Modern Fluid Mechanics

Fluid Mechanics seeks to describe the macroscopic motion of fluids according to the fundamental laws of classical physics and thermodynamics. Modern fluid mechanics is a very active and vibrant research area. For curiosity-minded students, it offers an example of a system displaying complex behaviour, although the basic Navier-Stokes equations governing fluid flows have been known for more than a century. Yet, the very proof of the existence of solutions to these equations has so far eluded researchers. Not surprisingly, this question appears as a famous unsolved problem in the list established for the Clay Prize.

For the more application-oriented student, fluid mechanics is rightfully viewed as essential to aircraft designers, to “rocket scientists” or to automobile engineers alike. Recent advances in computer power and algorithmic ingenuity have opened the field to many unforeseen applications. Fluid phenomena are everywhere: meteorology and climatology rest on the ability to provide reliable predictions while the petroleum industry has an ever growing need for numerical computations and for talented engineers to interpret the results of the simulations. The past ten years have seen the emergence of the whole new domain of chemical engineering, etc.

Expected benefits to the students

It is expected that graduates of the program will have acquired the capacity to design effective, physically-based models for a great variety of fluid flows. They will have learnt to critically assess the relevance and validity of different approximation schemes. They will be able to develop efficient numerical algorithms that are well-suited to specific situations of fundamental or engineering interest. Even more importantly, they will have acquired a sound physical understanding of flow physics. Finally, they will be able to work and communicate effectively in an english-speaking environment.

Program of courses (60 ECTS)

ECTS Title Lecturer(s) Affiliation
3
MEC653 Multiscale hydrodynamic phenomena (UPMC) Pierre-Yves Lagrée Université Pierre et Marie Curie
3
MEC654 Turbulence Laurent Jacquin

ONERA
Polytechnique

3
MEC655 Numerical methods for fluid mechanics (UPMC) Frédéric Hecht and Stephane Zaleski Université Pierre et Marie Curie
3
MEC652 Drops, bubbles and co. Charles Baroud and David Quéré Ecole Polytechnique
3
MEC656 Diffusion, advection and the dynamo effect (ENS) François Pétrélis Ecole Normale Supérieure
3
MEC631 Introduction to hydrodynamic instabilities Lutz Lesshafft Ecole Polytechnique
3
MEC651 Instabilities and control of shear flows

Denis Sipp

ONERA
3
MEC657 Current topics in fluid mechanics (in 2014-2015 : separated flows, animal propulsion) Sébastien Michelin et Olivier Cadot Polytechnique
1.5
MEC663 Introduction to environmental fluid dynamics Colm Caulfield BP Institute & University of
Cambridge
1.5
MEC664 Low Reynolds-number flows Neil Ribe Fast, U. Paris Sud
3
Elective science course in French, or in English, from Ecole Polytechnique or Université Pierre et Marie Curie (see table of electives below)    
30
Six-month internship in a French or foreign laboratory    

Electives

The elective science course in French or in English may be selected from the following list of M1 and M2 courses:

First period

September - December

Second period

December - February

MEC554 Compressible aerodynamics MEC560 Propulsion
MEC559 Laboratory research project MEC561 Fluid-structure interactions
MEC572 Acoustics and sound environment (EA) MEC564 Micro-scale viscous flows and complex fluids
MEC574 Inverse problems (EA) PHY565 Physics of Biological Polymers and Membranes
MEC577 Complex materials (EA) MEC567 Physical hydrodynamics for the environment
MEC578 Aerodynamics (EA) MEC569 Laboratory research project
MEC672 Numerical methods for incompressible flows (CNRS)

MEC581 Structural and Fluid mechanics project (EA)

  MEC584 Hydrodynamics and Elasticity (EA)
  MEC588 Porous media – Fluid flows and Mechanics
MEC666 Vortices in hydrodynamics (UPMC)
MEC668 Transfer and flows in fluid and porous media (CNRS)
  MEC669 Multiphase flows: Dynamics of bubbles and drops (UPMC)
  MEC670 Suspensions and two-phase flows (ESPCI)
  MEC674 Microsystems and microfluidics (ENS-Cachan)

 

Language proficiency

A compulsory week-long intensive “English for scientists” course is offered at the beginning of the year, so that students may fully benefit from the academic program. International students are strongly urged to enroll in a “French as a foreign language” course at Ecole Polytechnique.

Employment opportunities

The advanced training offered by the program makes students well prepared to begin a professional career in industry. Alternatively, graduates of the program may choose to study for a doctoral degree, which opens the way for a research career in the academic or industrial world.

Time schedule

Semester S3 (September – February) is split into two ten-week periods according to the following sequence:

First period

September - December

Second period

December - February

MEC653 Multiscale hydrodynamic phenomena (UPMC) MEC651 Instabilities and control of shear flows
MEC631 Introduction to hydrodynamic instabilities MEC652 Drops, bubbles and co.
MEC655 Numerical methods for fluid mechanics (UPMC) MEC654 Turbulence
MEC656 Diffusion, advection and the dynamo effect (ENS) MEC657 Current topics in fluid mechanics (in 2014-2015 Separated flows)
  MEC663 Introduction to environmental fluid dynamics
  MEC664 Low Reynolds-number flows
Elective science course in French, or in English, from Ecole Polytechnique  or Université Pierre et Marie Curie  (see table of electives above)

Time schedule Year M2 2014-2015      

Semester S4 (March – August): six-month internship (30 ECTS) in a French or foreign laboratory.

Past examples of Master's thesis topics

Location

Courses take place either on the Jussieu Campus of Université Pierre & Marie Curie or on the Palaiseau Campus of Ecole Polytechnique in Palaiseau, within half an hour from the center of Paris. The time schedule is organised so as to minimize commuting back and forth between each campus.

Class size

An enrollment of 10 to 25 students is expected.


Application procedure

Prospective candidates for the Master’s program of Ecole Polytechnique should submit their application online through the website:

http://www.universite-paris-saclay.fr/fr/formation/master/mecanique

Admission of the students is based on the evaluation of academic transcripts, statement of purpose and letters of recommendation.

There are two admission sessions per year, for students entering the program in the Fall semester:
1st session (application deadline: February 15, 2015)
2nd session (application deadline: May 1, 2015)

For information regarding all administrative matters such as the online application procedure, registration, certificate of admission, lodging, please contact Sylvie Cohu.

For information regarding all academic aspects such as prerequisites, program of courses, electives, etc., please contact David Quéré (david.quere@espci.fr)

Admission requirements

The program is open to highly qualified French and international students with a strong background in Mathematics and Mechanics. Year M2 is offered to students who have successfully completed 60 ECTS in year M1 of the Master of Mechanics. Direct admission into the second year M2 is also possible for students who already hold a minimum number of 60 ECTS in the field of interest, at graduate level.

Tuition fees and living expenses

Annual registration fee: €250
Year M2 tuition fees: €4400

Fee waivers are available under certain conditions.

Fellowships are also awarded to a few highly qualified students to partially cover living expenses.

 

Requests for fee waivers and fellowships are submitted online as part of the Master’s application procedure

Dual Master Ecole Polytechnique-Caltech

A very limited number of students from the Ecole Polytechnique “Ingénieur”’s program may enroll at the beginning of year M1, in a two-year dual degree program leading to the “Master of Fluid Mechanics” from Ecole Polytechnique and “Master of Science in Aeronautics or Aerospace Engineering” from the California Institute of Technology”. Only students in the “Ingénieur”’s program of Ecole Polytechnique are eligible for this dual degree. For additional information and details of the application procedure, please contact David Quéré .

In 2010, the Ecole Polytechnique-Caltech dual Master program received the Andrew Heiskell Award for Innovation in International Education from the Institute of International Education in New York.

Dual Master Ecole Polytechnique-Shanghai Jiao Tong University

A very limited number of students from the Ecole Polytechnique “Ingénieur”’s program may enroll at the beginning of year M2, in a two-year dual degree program leading to the “Master of Fluid Mechanics” from Ecole Polytechnique and “Master’s degree in Mechanics, Mechanical Engineering or Material Sciences from Shanghai Jiao Tong University. Only students in the “Ingénieur”’s program of Ecole Polytechnique are eligible for this dual degree. For additional information and details of the application procedure, please contact David Quéré .