# 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