Advanced fluid mechanics

Course Director(s): Olivier Bonnefoy et Sylvain MARTIN

General Description

Fluid mechanics are dealt with in this Toolbox from a mechanical statistics angle (Boltzmann equation) with a “Physics” type approach rather than that of an “Engineer”.
On completion of the Toolbox the student will be capable of:

  1. Understanding the strong link between fluid mechanics and mechanical statistics
  2. Enriching the physical terms of Navier-Stokes equations
  3. Predicting the behaviour of a dynamic system, its stability and the transition mechanism towards chaos
  4. Applying these concepts to describe complex systems (small Knudsen number flows, compressible fluids, granular flows)

The theoretical tools presented in the course will be applied in supervised study sessions in the computer room. The student will write a software programme with Matlab based on the LBMethod for modelling fluid flows in a pipe, around an obstacle or in a porous medium.

Links between course units

The Toolbox is structured around three unit sessions of equal importance.
Unit : Instabilities and transitions (15 hours)

Unit 2: From the Boltzmann equation to the Navier-Stokes equation

Unit 3: Lattice Boltzmann method (LBM)

Orientations / Associations with other courses

Teaching extensions of the core curriculum course in Physics

Strong link with the “Multi-phase flow” unit of the Process engineering major

Key words

Mechanical statistics, fluid mechanics, dynamic systems, stability and transition towards chaos, Lattice Boltzmann Method, creation of a CFD software programme.