Dynamique des fluides numériques : écoulements incomprssibles et compressibles

Description

In this course the student should aquire the basic knowledge in Fluid mechanics for incompressible flows:

• Variational formulation of the Stokes problem;
• Well posed boundary conditions;
• Principles of pressure gradient and divergence discretization;
• Overview of implementation within standard method of spatial discretization;
• Classical methods of solution for the pressure-velocity coupling;
• Uzawa and projection method;
• Treatment of non-linear terms.

Compétences visées

• Assimilate the most common numerical methods to solve incompressible Navier-Stokes equations.

Bibliographie

• Mécanique des fluides, Eléments d'un premier parcours ; Patrick Chassaing, Ed. Cépaduès ;
• Computational Methods for Fluid Dynamics ; Joel H. Ferziger and Milovan Peric ; Ed. Springer.

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