Parcours Computational Mechanics
Starting in September 2017, Sorbonne Université offers a two-year Master program in Computational Mechanics focused on modelling and numerical simulation of fluids and solids.
Computational Mechanics (CompMech) program covers fundamental and advanced topics on solid and structural mechanics, fluid mechanics, and their interactions. CompMech provides a balanced and deep coverage of theoretical aspects and modern computational methods for the macroscopic modelling, analysis, and design of complex systems including fluids, solids, and soft matter. Applications will range from biological and medical engineering, to civil and mechanical engineering, passing through nuclear and new energies engineering.
Organization
CompMech is developed in a close collaboration with the Italian University La Sapienza (Rome, Italy) (http://dima.uniroma1.it/dima/en) and the MOX department of Politecnico di Milano (Milano, Italy) (mox.polimi.it) and has the ambition to attract highly motivated students and to provide high-level training on continuum and computational mechanics in an international environment.
The Master in Computational Mechanics include three possible versions with or without double degree agreement with Italian Universities.
- Local version (without double-degree)
- Double degree with La Sapienza - Ingegneria Meccanica (max 6 places available)
- Double degree with PoliMi - Ingegneria Mathematica (max 2 places available)
Overview of the mobility program for the students enrolled in Sorbonne
Course list for the second year (non-exhaustive)
The program CompMech at Sorbonne Université mainly consists on fundamental courses from Fluids and Solids Sciences pour l'Ingénieur Masters. After the first year, students can choose to continue in the Computational Mechanics Master or to integrate either the fluids (MF2A) or solids (MSGC) mechanics programs. The credits in the first year will be selected to secure all the prerequisites for both MF2A and MSGC programs.
This version of the Computational Mechanics program does not include a double-degree agreement. However, we highly encourage motivated students to participate to Erasmus exchange program with other universities during the second semester of first year of the master.
Starting in September 2017 all 1st year courses will be in French with specific learning helps for english-speaking students. During the first year there will be possible to attend an English version of the tutorial classes for each of the fundamental courses and some optional courses or projects will be taught in English.
From September 2018 all the 2nd year courses will be taught in English.
The proposed courses and credits are :
|
|
ECTS |
Title |
|
Semester 1 (sept-jan) |
6 |
Continuum mechanics |
|
6 |
Mechanical vibrations and waves |
|
|
6 |
Numerical methods and signal processing |
|
|
6 |
Finite element structural analysis: statics and dynamics |
|
|
6 |
Aerodynamics and aeronautics |
|
|
|
|
|
|
Semester 2 (jan-may) |
6 |
Numerical methods and simulation in fluid mechanics |
|
3 |
Introduction to hydrodynamic instabilities |
|
|
6 |
Slender structures |
|
|
3 |
Composite Structures |
|
|
9 |
Internships |
|
|
3 |
English/French Language |
|
|
|
|
|
|
|
|
|
|
Semester 3 (sept-feb) |
6 |
Plasticity, viscoelasticity, and thermodynamics of solids |
|
6 |
Nonlinear finite element methods in solid mechanics |
|
|
3 |
Dynamics and turbulence |
|
|
3 |
Aeroelasticity |
|
|
3 |
Numerical methods for fluid mechanics |
|
|
3 |
Uncertainty quantification |
|
|
6 |
Project in Fluid Structure Interaction |
|
|
|
|
|
|
Semester 4 |
27 |
Internship |
|
3 |
English/French Language |
This double degree program is in partenship with the Department of Mechanical Engineering at La Sapienza (Rome, Italy). It will include each year a maximum of six (6) students from Sorbonne and six (6) students from La Sapienza. Upon successful completion of the Double Degree requirements (120 ECTS), two separate diplomas are conferred to the student according to the local regulations:
- The degree from the Sorbonne Université: “Master Des Sciences Et Technologies, mention Sciences Pour L’ingénieur, Spécialité Computational Mechanics”.
- The diploma from the Sapienza - University of Rome: “Laurea Magistrale” in Ingegneria Meccanica.
The program is organised as follow:
- First semester (first year) in Paris
- Second semester (first year) in Rome, with La Sapienza students
- Third semester (second year) in Paris with incoming La Sapienza students
- Fourth semester (second year) internship.
A detailed list of courses and credits is provided below :
|
1st Year |
|
|
|
1st Semester |
|
|
|
|
ECTS |
Location |
|
Continuum Mechanics |
6 |
Sorbonne |
|
Mechanical Vibrations & Waves |
6 |
Sorbonne |
|
Numerical Methods and Signal Processing |
6 |
Sorbonne |
|
Finite element structural analysis: statics and dynamics |
6 |
Sorbonne |
|
Aerodynamics |
6 |
Sorbonne |
|
2nd Semester |
|
|
|
Fluid-structure Interaction |
9 |
Sapienza |
|
Advanced Methods in Mechanical Design |
6 |
Sapienza |
|
Measurements for mechanical systems and industry |
9 |
Sapienza |
|
Smart Structures |
6 |
Sapienza |
|
|
|
|
|
2nd Year |
|
|
|
1st Semester |
|
|
|
Plasticity, Viscoelasticity, and Thermodynamics of Solids |
6 |
Sorbonne |
|
Nonlinear Finite Element Methods in Solid Mechanics |
6 |
Sorbonne |
|
Uncertainty Quantification |
3 |
Sorbonne |
|
Dynamics and Turbulence |
3 |
Sorbonne |
|
Numerical Methods for Fluid Mechanics |
3 |
Sorbonne |
|
Free Choice |
3 |
Sorbonne |
|
Project |
6 |
Sorbonne |
|
2nd Semester |
|
|
|
Free Choice (Language suggested) |
3 |
|
|
Internship |
27 |
|
This double degree program is in partnership with the MOX department of Politecnico di Milano (Milano, Italy) (https://mox.polimi.it). It will include each year a maximum of two (2) students from Sorbonne and two (2) students from Milano. It is reserved for students with high skills in mathematics, numerics and solid and fluid media.
Upon successful completion of the Double Degree requirements (150 ECTS), two separate diplomas are conferred to the student according to the local regulations:
- The degree from the Sorbonne Université: “Master Des Sciences Et Technologies, mention Sciences Pour L’ingénieur, Spécialité Computational Mechanics”.
- The diploma from the Politecnico di Milano -“Laurea Magistrale” in Ingegneria Matematica.
Master outcomes
The students will evolve in a stimulating international environment. At the end of the Master, graduates will be able to evolve in English-speaking research and engineering teams of international level. They will be able to analyse scientific papers in the general area of continuous mechanics, to evaluate the relevance of the various approximations needed to solve a problem, to implement efficient numerical discretisation and solution techniques using modern open-source software for High Performance Computing, and to use them to solve complex problems in fluid and solid mechanics.
Contacts
Responsable du parcours (M2)
Corrado MAURINI
Responsable du parcours (M1)
José-Maria FULLANA
Secrétariat pédagogique
Vanessa Texeira
4 place Jussieu - Case courrier 164 - Bâtiment l'Esclangon 2ème étage Bureau 233
75005
Paris