 # Computational fluid mechanics and structures 2 - Part2

## Presentation

Computational Fluid Mechanics:

Part 1: Complement of Fluid Mechanics

• Compressible flow
• Reactive flows
• Two-phase flows
• FLUENT Labwork

Part 2: 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.
• Usual Finite volume schemes (centered schemes, Roe scheme, HLL scheme, ….)
• Second order schemes, MUSCL method
• Labwork with MATLAB or PYTHON.

Nonlinear computational structural mechanics:

Part 1 :

Mathematical modeling and numerical algorithms to handle:

• Material non-linearity: plasticity
• Boundary non-linearity: unilateral contact

Part 2 : A commercial software in computational mechanics NASTRAN ou ABAQUS (nonlinear problems)

## Objectives

Computational Fluid Mechanics:

At the end of this module, the student should know how to model complex flows (with shock waves, two-phase flows, reactive flows). He should as well know the principles of the finite volume method for fluid mechanics.

The student will know the fundamentals of complex flow modelling (compressible flow, two-phase flows, reactive flows)

He will know as well how to choose and use a finite volume scheme to solve fluid mechanics problems.

Nonlinear computational structural mechanics:

At the end of this module, the student will have understood and be able to explain (main concepts):

•  The typical models for nonlinear structural mechanics and their scope of application.
• The computation of these models using the finite element method.

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 complex nonlinearities in solid mechanics.
• Master a software used in industry to perform complex/non-linear computational simulations in structural mechanics (NASTRAN or ABAQUS).

## Needed prerequisite

- Mécanique des Milieux continus
- Méthode des éléments finis
- Théorème de Lax-Milgram
- Analyse variationnelle

## 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...