# Advanced computational mechanics for solids and fluids

## Presentation

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.

## Objectives

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...