Computational Mechanics (M-ENG CM)

Master Supervisors: Christian Burtin (M1), Nicolas Chevaugeon (M2), Sébastien Comas

Programme Objectives

This Master develops skills in advanced techniques in scientific computing at the interface between scientific disciplines for the modelling of mechanical engineering problems.

The courses cover the modelling and numerical simulation of complex mechanical systems (both fluid and solid) involving a possible coupling of different physics at different scales. The training is based on a global approach towards the issues associated with numerical modelling, from the construction of models and their discretization to the numerical resolution of discrete models, and to the mathematical analysis of models and approximation methods.

The programme of study lasts two academic years - denoted by M1 and M2. Computational Mechanics is one of four specialisms available within the Mechanical Engineering stream.

The language of instruction is English across the two years.

Course Content - M1

30 ECTS Credits per semester.
Language of instruction: English

Autumn Semester Courses ECTS Spring Semester Courses ECTS
Continuum Mechanics 5 Probability and Statistics 5
Fluid Mechanics 5 Numerical Analysis 5
Programming and Algorithms 4 Structural Mechanics 5
Numerical Methods 4 Fluid Mechanics 2 5
Vibration and Differential Equations 4 Mechanical Design 4
Business Environment 4 Conferences and Initiation to Research 2
Modern Languages * 4 Modern Languages * 4

* 'French as Foreign Language' except for French native speakers who will study 'Cultural and Communicational English'

NB Course content may be subject to minor changes

Course Content - M2

30 ECTS Credits per semester.
Language of instruction: English

Autumn Semester Courses ECTS
Computational Configurational Mechanics 3
Computational methods for incompressible flows 3
Domain decomposition and iterative solvers 4
Extended Finite Element Method and level set techniques 3
Model Reduction 3
Numerical methods for simulation of coupled problems 3
Numerical methods for uncertainty quantification  3
Physical modelling of fluids 4
Modern Languages * 4

* 'French as Foreign Language' except for French native speakers who will study 'Cultural and Communicational English'

Spring Semester ECTS
Master thesis / internship                                    30

Examples of previous internships in industry:
  • Optimization of mechanical modelling tools (Areva)
  • Numerical modelling of smart composite structures (Ifstarr)
  • Improved workpiece design loop structures in thermoplastics for the automobile industry

Examples of previous internships in research labs:
  • Aerodynamic simulation of a wind turbine (LHEEA)
  • Development of optimization algorithms on tensor manifolds exploiting their fiber bundle structures (GeM Institute).
  • Numerical simulation of composite impregnation using reactive resine (Mines Albi)
NB Course content may be subject to minor changes

Skills developed

  • Model solids and fluid flow problems
  • Use advanced numerical and scientific techniques to discretize and solve mechanical problems
  • Master the mathematical analysis of models and approximation methods.
In addition to the above specialism-specific skills, students will also develop more general skills:
  • Identify models, perform simulation and analyse results
  • Communicate comprehensive results in a meaningful way
  • Undertake bibliographic surveys of international research and professional literature
  • Manage or be part of a project

Prospects for employment or further study


  • Sectors: Aeronautics, Automotive, Transportation, Wind and Marine Energy, Energy, Software, Consulting
  • Fields: Mechanical Engineering, Design, Research and Innovation
  • Positions: Computational Engineer, Mechanical Engineer, Research and Innovation Engineer (post PhD)
Published on March 25, 2017 Updated on September 20, 2019