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Computational Fluid mechanics


Part 1(17,5h): Complement of Fluid Mechanics

-  Fundamentals of turbulent flows, qualtitative properties, length and time scales

-  RANS and LES models

-  Turbulent boundary layer

-  Compressible flow

-  Shock waves and rarefaction waves

-  Shock tube problem


Part 2 (15h): Finite volume method applied to fluid mechanics problems

-  Principles and general form of a finite volume scheme for 1rst and 2nd order systems of conservation laws.

-  Linear stability, positivity, entropic schemes

-  Godunov scheme and usual numerical fluxes (centered scheme, Roe scheme, HLL scheme, ….)

-  Second order schemes, MUSCL method

-  Labwork devoted to the numerical resolution of Saint Venant equations.



Partie 3 (7,5h) : Initiation au logiciel FLUENT.

-  LW 1 : Discovery of Fluent solver using the entrained cavity problem 

-  LW 2 : Computation of the aerodynamic flow around a 2D profile. Influence of the Mach number.



Lectures : 22 slots of 1h15

Tutorials :  2 slots of 1h15

Labworks:  4 slot of 2h30



At the end of this module, the student should know how to model compressible flows (with shock waves) and turbulent flows. He should as well know the principles of the finite volume method for fluid mechanics.


The student will be able to:

-       model turbulent flows (DNS, LES, RANS).

-       model supersonic flows with shock waves

-       analyse and use a finite volume scheme to solve fluid mechanics problems.

-       use a commercial Computational Fluid Dynamics software, based on the finite volume method.

Needed prerequisite

Basis of Fluid Mechanics and Numerical methods

Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...