UE8 - Energy Modelling

Training on COMSOL multiphysics FE software and FLUENT FE software (laminar and turbulent MoF). Definition of the geometry studied and definition of the study parameters (thermophysical parameters and boundary conditions). Meshing and optimisation. Resolution and optimisation. Exploitation of results. Study of specific cases in steady state and transient conditions. Special cases of coupled problem studies (e.g. thermofluidic, thermoelectric....)

Voir la page complète

Introduction to the classification of partial differential equations used in thermal and fluid mechanics: method of characteristics.
Parameters required to solve the equation: domain, boundary conditions, etc.
Finite difference methods: choice of a method suited to the physical problem to be solved: Crank-Nicolson method, method of alternating directions.

Finite volume method: field of application, description of the method for fluid dynamics equations. Choice of options in CFD tools for optimising simulations

1/ Introduction to optimisation
        Formulation of an optimisation problem
        Example of linear programming
        Local and global minima

2/ Optimisation methods
      1D: Interval elimination, Powell method, Newton-Raphson method
      ND: Simplex method, Newton-Raphson method, conjugate gradient method, Davidon-Fletcher-Powell algorithm (DFP), Broyden-Fletcher-Goldfarb-Shanno algorithm (BFGS)

3/ Solving PDEs - matrix approach
   Discretisation of space and time
        Vector relationship, Matrix representation formulation
        Explicit formulation, Implicit formulation, Stability analysis

Voir la page complète