ME-474 / 5 crédits

Enseignant: Boujo Edouard

Langue: Anglais

Withdrawal: It is not allowed to withdraw from this subject after the registration deadline.

## Summary

This course provides practical experience in the numerical simulation of fluid flows. Numerical methods are presented in the framework of the finite volume method. A simple solver is developed with Matlab, and a commercial software is used for more complex problems.

## Keywords

Numerical simulation, Fluid mechanics

## Required courses

• Fluid mechanics (ME-280)
• Numerical analysis (MATH-251)

## Recommended courses

• Discretization methods in fluids (ME-371)

## Important concepts to start the course

• Explain and apply the concepts of mass, energy, and momentum balance, E1
• Define, describe and apply the basic flow equations, such as the Navier-Stokes equations, AH14
• Understand the basics of computer programming; develop a (simple) structured software using a programming language / environment such as C, Fortran or Matlab, AH25

## Learning Outcomes

By the end of the course, the student must be able to:

• Describe the physical behaviour of a flow in scientific terms, AH1
• Link flow behaviour with non-dimensional parameters (e.g. Reynolds numbers), AH2
• Describe flow in simple geometries, such as over a flat plate, in a tube, or around a sphere or airfoil, AH9
• State the conserved quantities in a given flow and link them to a physical-mathematical description, AH13
• Identify and apply the different steps in a numerical simulation (e.g. geometry and mesh generation, computation, post-processing) and integrate all the essential basic concepts in a numerical flow simulation, AH18
• Assess / Evaluate numerical accuracy as a function of the choice of simulation parameters, AH20
• Analyze numerical solutions and identify any inconsistencies with respect to physical reality; understand and apply the concepts of verification and validation, AH21
• Perform a numerical simulation with appropriate software; understand the limits of each software in terms of its application domain and accuracy of the results obtained, AH26
• Choose the appropriate turbulence model for a given turbulent flow, AH27
• Describe the physical behaviour of a flow in scientific terms, AH1
• Identify and apply the different steps in a numerical simulation (e.g. geometry and mesh generation, computation, post-processing) and integrate all the essential basic concepts in a numerical flow simulation, AH18
• Assess / Evaluate numerical accuracy as a function of the choice of simulation parameters, AH20
• Analyze umerical solutions and identify any inconsistencies with respect to physical reality; understand and apply the concepts of verification and validation, AH21
• Perform a numerical simulation with appropriate software; understand the limits of each software in terms of its application domain and accuracy of the results obtained, AH26
• Choose the appropriate turbulence model for a given turbulent flow, AH27

## Transversal skills

• Use both general and domain specific IT resources and tools
• Plan and carry out activities in a way which makes optimal use of available time and other resources.
• Continue to work through difficulties or initial failure to find optimal solutions.
• Write a scientific or technical report.

## Teaching methods

Lectures, practical computer exercises, and homeworks / mini-project.

## Expected student activities

• Attend class hours (theoretical lectures + practical exercises to learn the methods and the software).
• Finish exercises at home.
• Carry out the homeworks / mini-project and write reports.

## Assessment methods

Written report (homeworks and mini-project).

## Supervision

 Office hours No Assistants Yes Forum No

Yes

## Bibliography

Course material available on Moodle website.

## Dans les plans d'études

• Semestre: Automne
• Forme de l'examen: Pendant le semestre (session d'hiver)
• Matière examinée: Numerical flow simulation
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Automne
• Forme de l'examen: Pendant le semestre (session d'hiver)
• Matière examinée: Numerical flow simulation
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Automne
• Forme de l'examen: Pendant le semestre (session d'hiver)
• Matière examinée: Numerical flow simulation
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Automne
• Forme de l'examen: Pendant le semestre (session d'hiver)
• Matière examinée: Numerical flow simulation
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Semestre: Automne
• Forme de l'examen: Pendant le semestre (session d'hiver)
• Matière examinée: Numerical flow simulation
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22

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