Finite element modelling for mechanical and thermal systems

  • Cours (CM) 14h
  • Cours intégrés (CI) -
  • Travaux dirigés (TD) 10h
  • Travaux pratiques (TP) -
  • Travail étudiant (TE) -

Langue de l'enseignement : Anglais

Niveau de l'enseignement : C1-Autonome - Utilisateur expérimenté

Description du contenu de l'enseignement

  1. The theoretical part of this course involves:
    • A brief introduction of heat transfer in porous media: This covers the physical processes (conduction, convection and radiation) and a brief presentation of some environmental and engineering applications.
    • Derivation of the mathematical equations governing heat transfer in porous media
    • Introduction of the finite element method: Solving the 1D heat transfer equation (steady state and transient)
    • 2D finite element method
  1. Computer lab work :
    • Development of Python finite element code for 1D heat transfer under steady-state conditions
    • Development of Python finite element for 1D heat transfer under transient regime
    • Using the finite element framework COMSOL Multi-physics for solving 2D and 3D heat transfer problems (benchmarks of CO2 sequestration or geothermal reservoirs)

Compétences à acquérir

  • Understanding physical processes of heat transfer in porous media and related environmental and industrial applications
  • Deriving the partial differential equation describing heat transfer in porous media
  • Learning the numerical modeling procedure
  • Getting theoretical background on the finite element method
  • Implementing a finite element code

MASTER - Sciences de la Terre et des planètes, environnement