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Advanced computational mechanics for solids and fluids


Program (detailed contents) :


Part 1 (15h) : Turbulent flow modelling and Finite Volume Methods for CFD

  • Fundamentals of turbulent flows, qualitative properties, length and time scales
  • RANS models
  • LES models
  • Turbulent boundary layer
  • Basis of the finite volume method for CFD


Part 2 (5h) : Initiation to FLUENTsoftware

  • LW 1 : Discovery of Fluent solver through the computation of  pressure losses in a pipe.
  • LW 2 : Computation of the aerodynamic flow around a 2D profile. Influence of the Mach number.


Part 3 (10h) :

Mathematical modeling and numerical algorithms to handle :

  • Geometric non-linearity: buckling, large deformation
  • Introduction to the Extended Finite Element Method (XFEM) for crack modeling.
  • Mechanical identification by image registration.


Part 4 (10h) :

Use of a commercial software in computational mechanics NASTRAN or ABAQUS.


Organisation :

Lectures : 18 slots of 1h15

Tutorials :  2 slots of 1h15

Labworks:  6 slot of 2h30


Document: book of tutorials and labworks + copy of the lecture slides.


The student will have understood and be able to explain (main concepts) :

  • The typical models for nonlinear structural mechanics and turbulent fluid flows and their scope of application.
  • The computation of these models using the finite element method (solids) or the finite volume method (fluids)


The student will be able to :

  • Apply the finite element method for the discretization of nonlinear problems in solid mechanics.
  • Implement suitable algorithms to handle basic nonlinearities in solid mechanics.
  • Master a software used in industry to perform basic computational simulations in structural mechanics (NASTRAN or ABAQUS).
  • Use a commercial Computational Fluid Dynamics software (FLUENT for example), based on the finite volume method.

Needed prerequisite

Computational Fluid Mechanics 1 (I4MMMNF81)

Computational Structural Mechanics 1 [I4MMNS81]

Finite volume method

Continuum mechanics

Elasticity modelling

Finite element method

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...