Aeronautic and space Master's program / Turbulence Track

Course label :	Experimental practice
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_EPR - Experimental practice

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

The lab sessions provide students with a practical insight into the modern experimental techniques used routinely for the study of turbulence. Different experiments are set up depending on the ongoing research in research groups. The measurement techniques are mainly the Hot Wire Anemometry and Particle Image Velocimetry used worldwide for the study of turbulence. Students are to participate to the set-up of the experiment, take measurements, process them and then post-process the data to verify the theories taught in the turbulence lectures.

Educational goals

The objectives of these lab sessions are to provide students with a practical insight into the modern experimental techniques used routinely for the study of turbulence.

Sustainable development goals

Knowledge control procedures

Continuous Assessment
Comments: A report for each different practice

Online resources

Several experimental benches

Pedagogy

Practice per group of 2 or 3 students. The bench is explained by a teacher and the students have to defne their scientific question and study them.

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	24
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Fluid dynamics, experimental techniques, turbulence

Maximum number of registrants

Remarks

Course label :	Optical field measurement
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_OFM - Optical field measurement

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

The course objectives are to make students familiar with modern measurement techniques in fluid mechanics. Emphasis will be set on the advantages and drawbacks of each technique and on the accuracy of measurements. The course is shared into two sections : 1. Theory, force and point measurement ￜ Introduction, what should we measure and why ? ￜ Components of a measurement chain ￜ Measurement uncertainties and errors ￜ Mathematical tools ￜ Fluid Mechanics facilities ￜ Force measurement ￜ Pressure measurements ￜ Hot wire anemometry 2. Optical field measurement ￜ The LASER ￜ Flow visualisation ￜ Laser Doppler Velocimetry (LDV) ￜ Particle Image Velocimetry (PIV) ￜ Optical density & spectroscopic measurements This lecture concerns the first part Optical field measurement Lectures will be complemented by practical work sessions on Hot Wire Anemometry and Particle Image Velocimetry, the two techniques in use to study turbulent flows. The links are evidenced for Turbulence essentials, Dynamics of viscous flow, Dynamics of compressible flowￜ

Educational goals

At the end of the course, the student will be able to: - To have a good background in experimental fluid dynamics. - To select the best method for an experimental fluid mechanics problem. - Analyze, define precisely the setup and compute the uncertainties. The competences introduces in this lecture are : - Conduct research and studies by implementing a multidisciplinary approach to solve complex scientific and technical problems of all or part of aeronautical or space systems. - Mobilize highly specialized knowledge, some of which is at the forefront of knowledge in a field of work or study, as a basis for original thinking - Solve problems to develop new knowledge and procedures and integrate knowledge from different fields

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal exam.

Online resources

Experimental technics course material Exercises

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching and powerpoint presentations. Each session will be followed by one or more exercises to be done independently and prepared at home. At the next tutorial session, these exercises will be corrected.

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good level in math, theory and point measurement and fluid dynamics

Maximum number of registrants

Remarks

Course label :	Theory, force and point measurement
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_TFP - Theory, force and point measur

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

The course objectives are to make students familiar with modern measurement techniques in fluid mechanics. Emphasis will be set on the advantages and drawbacks of each technique and on the accuracy of measurements. The course is shared into two sections : 1. Theory, force and point measurement ￜ Introduction, what should we measure and why ? ￜ Components of a measurement chain ￜ Measurement uncertainties and errors ￜ Mathematical tools ￜ Fluid Mechanics facilities ￜ Force measurement ￜ Pressure measurements ￜ Hot wire anemometry 2. Optical field measurement ￜ The LASER ￜ Flow visualisation ￜ Laser Doppler Velocimetry (LDV) ￜ Particle Image Velocimetry (PIV) ￜ Optical density & spectroscopic measurements This lecture concerns the first part Theory, force and point measurement Lectures will be complemented by practical work sessions on Hot Wire Anemometry and Particle Image Velocimetry, the two techniques in use to study turbulent flows. The links are evidenced for Turbulence essentials, Dynamics of viscous flow, Dynamics of compressible flowￜ

Educational goals

At the end of the course, the student will be able to: - To have a good background in experimental fluid dynamics. - To select the best method for an experimental fluid mechanics problem. - Analyze, define precisely the setup and compute the uncertainties. The competences introduces in this lecture are : - Conduct research and studies by implementing a multidisciplinary approach to solve complex scientific and technical problems of all or part of aeronautical or space systems. - Mobilize highly specialized knowledge, some of which is at the forefront of knowledge in a field of work or study, as a basis for original thinking - Solve problems to develop new knowledge and procedures and integrate knowledge from different fields

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal exam.

Online resources

Experimental technics course material Exercises

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching and powerpoint presentations. Each session will be followed by one or more exercises to be done independently and prepared at home. At the next tutorial session, these exercises will be corrected.

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good level in math and fluid dynamics

Maximum number of registrants

Remarks

Course label :	Dynamics of compressible flows and similarity
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	3
Results grid :
Code and label (hp) :	MR_TUR_CMA_DCF - Dynamics of compressible flows

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

This course is the continuation of dynamics of viscous flow. The case of the inviscid compressible flow is treated according to the acoustic hypothesis (small perturbations), then isentropic assumption and finally for normal shock waves. The theory of similarity is discussed with emphasis on the Reynolds number. The analysis of the Navier-Stokes equations by orders of magnitude and normalization is detailed; to finish with the boundary layer equations and an introduction to linear stability. There are plenty of relations with the other courses of the master program which need the knowledge of the present lecture. The links are evidenced for Turbulence, Dynamics of viscous flow, Experimental techniquesￜ

Educational goals

At the end of the course, the student will be able to: - To address a fluid mechanics problem of fluid movement. - Analyze, understand and model a problem. - To have a good background in fluid dynamics. The competences introduces in this lecture are : - Conduct research and studies by implementing a multidisciplinary approach to solve complex scientific and technical problems of all or part of aeronautical or space systems. - Mobilize highly specialized knowledge, some of which is at the forefront of knowledge in a field of work or study, as a basis for original thinking - Solve problems to develop new knowledge and procedures and integrate knowledge from different fields

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal exam.

Online resources

Fluid mechanics course material Exercises

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching. Each session will be followed by one or more exercises to be done independently and prepared at home. At the next tutorial session, these exercises will be corrected.

Sequencing / learning methods

Number of hours - Lectures :	15
Number of hours - Tutorial :	10
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good level in math and fluid dynamics

Maximum number of registrants

Remarks

Course label :	Dynamics of viscous incomplessible flows
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_DVI - Dynamics of viscous flows

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

The aim of the course is to create a deeper and a wider knowledge of fundamental fluid mechanics. Emphasis is put on the governing equations. A red line through the course is the interpretations of flow phenomena in context based on the governing equations. Introduction on Continuous medium, Stress tensor, characteristics of fluid at rest and in motion are first given. Then, statics, kinematics and dynamics of inviscid are looked at. The momentum theorem and the Bernoulli principle are explained. The dynamics of viscous flow is then studied. The Navier-Stokes equations are derived and solved for some simple classical cases (Channel, pipe, Taylor-Couette flow). There are plenty of relations with the other courses of the master program which need the knowledge of the present lecture. The links are evidenced for Turbulence, Dynamics of compressible flows and similarity, Experimental techniquesￜ

Educational goals

At the end of the course, the student will be able to: - To address a fluid mechanics problem of fluid movement. - Analyze, understand and model a problem. - To have a good background in fluid dynamics. The competences introduces in this lecture are : - Conduct research and studies by implementing a multidisciplinary approach to solve complex scientific and technical problems of all or part of aeronautical or space systems. - Design, develop and evaluate innovative solutions, products, processes or services using engineering methods and tools (requirements engineering, risk engineering, design, modeling and simulation software, etc.) to meet specifications.

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal exam.

Online resources

Fluid mechanics course material Exercises

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching. Each session will be followed by one or more exercises to be done independently and prepared at home. At the next tutorial session, these exercises will be corrected.

Sequencing / learning methods

Number of hours - Lectures :	15
Number of hours - Tutorial :	10
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good level in math

Maximum number of registrants

Remarks

Course label :	Mathematics for fluid dynamics
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_MFD - Mathematics for fluid dynamics

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers

Summary

The aim of this course is to ensure that students master the fundamental mathematical notions used in fluid mechanics and expend as much as possible their knowledge in mathematics. Ideally, they should also acquire notions that will be used in numerical analysis, signal processing and machine learning. The topics covered are as followed: - Analysis (Integration, derivation, Fourier transform and series, in link with linear algebra) - Linear algebra (vector space and Euclidean vector space), linear mapping (matrices, inversion and diagonalization) - Complex number analysis -Differential equations (ordinary and elliptic problems) - Vector calculus and tensorial notations

Educational goals

At the end of the course, the student will be able to -perform the classical calculations appearing in fluid mechanics with an emphasis on understanding rather than application of recipes. -Understand the notions behind numerical analysis.

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal exam.

Online resources

Lecture notes, lecture slides, textbooks available in the master library

Pedagogy

Flipped classroom, lectures and tutorials.

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	10
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Undergraduate mathematics and mechanics

Maximum number of registrants

Remarks

Course label :	Practice
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	3
Results grid :
Code and label (hp) :	MR_TUR_CMA_PRA - Practice

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers

Summary

The students will receive a dataset of turbulent velocity field and work on it using a compiled or interpreted programming language to extract the main properties of turbulence out of it.

Educational goals

At the end of the course, the students should be able to perform some standard operations of turbulence data processing, coming either from experiments or numerical simulations.

Sustainable development goals

Knowledge control procedures

Continuous Assessment
Comments: The student will write a report on the case they studied

Online resources

Experimental datasets, documentation.

Pedagogy

Work in group and autonomy, practical sessions.

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	10
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	20
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Fluid mechanics course, turbulence course, mathematics course, numerical analysis and programming courses.

Maximum number of registrants

Remarks

Course label :	Turbulence essentials
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_TES - Turbulence essentials

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

This course is taught by Prof. JC VASSILICOS Description: This course starts with describing what turbulence is for Newtonian fluids (Navier-Stokes equation, high Reynolds number, unsteadiness and randomness, turbulent kinetic energy dissipation, vorticity, in general three-dimensional) and limits itself to constant-density turbulent flows of Newtonian fluids. It then introduces the need for statistical methods, the ergodic theorem, the Reynolds decomposition and Reynolds stresses, the Boussinesq eddy viscosity hypothesis, and the relation of Reynolds stresses to vorticity. Then the course proceeds with the study of some basic wall flows: turbulent channel flow and turbulent boundary layers with and without zero mean pressure gradient. Much of their study is done with one-point statistics as a lot can be derived for these flows from the one-point momentum balance but the energy balance is also introduced as it is evidently equally important both for these particular wall flows but also in general, and in particular for turbulence modeling. A crucial aspect of the energy balance is the turbulence energy dissipation rate which is independent of viscosity at high enough Reynolds number. The course closes with a brief introduction to one-point turbulence modeling.

Educational goals

At the end of the course, the student will be able to: - use statistical methods in relation to the Navier-Stokes equation - understand the basic physics of wall turbulence and apply them to turbulence modeling - understant some basics of turbulence modeling

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal oral exam.

Online resources

Written turbulence course notes Exercises

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching. Sessions will be followed by tutorial sessions with exercises to be done independently during class and/or prepared at home. At the next tutorial session, these exercises will be corrected.

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good level in vector calculus and mathematics in general, and a prior introduction to fluid dynamics

Maximum number of registrants

Remarks

Course label :	Culture
Teaching departement :	CMA /
Teaching manager :	Madam VERONIQUE DZIWNIEL / Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_FRC - Culture

Education team

Teachers : Madam VERONIQUE DZIWNIEL / Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

Educational goals

Sustainable development goals

Knowledge control procedures

Continuous Assessment
Comments:

Online resources

Pedagogy

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	20
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Maximum number of registrants

Remarks

Course label :	Language
Teaching departement :	CMA /
Teaching manager :	Madam VERONIQUE DZIWNIEL / Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	3
Results grid :
Code and label (hp) :	MR_TUR_CMA_LAN - Language

Education team

Teachers : Madam VERONIQUE DZIWNIEL / Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

Educational goals

Sustainable development goals

Knowledge control procedures

Continuous Assessment
Comments:

Online resources

Pedagogy

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	30
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Maximum number of registrants

Remarks

Course label :	Computer practices
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_SDM_CRP - Num met - Computer practices

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers

Summary

The aim of this course is to practice the numerical methods presented in the numerical analysis course and write FORTRAN programs that can solve differential equations. The students will also practice the writing of short reports on their programs.

Educational goals

At the end of the course, the student will be able to: Write a standard programs that: - solve ordinary differential equations - Inverse linear problems - Solve elliptic differential equations - Approximate and interpolate functions - Display the numerical results using an interpreted scientific computing software such as python, octave or matlab.

Sustainable development goals

Knowledge control procedures

Continuous Assessment / Final Exam
Comments: The evaluation will be done by writing a program in limited time, along with a documentation explaining how the program is structured and presenting test cases.

Online resources

Exercise sheets

Pedagogy

Practice sessions where the student receive an exercise sheet, design, write, test and use a program and write a short report about it.

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	20
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Numerical analysis course, programming language course.

Maximum number of registrants

Remarks

Course label :	Numerical analysis
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	3
Results grid :
Code and label (hp) :	MR_TUR_CMA_NAN - Numerical analysis

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers

Summary

The aim of this course is to introduce the fundamental notions of numerical analysis, which are necessary to implement a numerical resolution in fluid mechanics or use a preexisting Computational Fluid Dynamics (CFD) software. The topics presented in the lecture are as follow: -Necessity of numerical analysis, classification of differential equations and notion of convergence -Ordinary differential equations (time evolution problems) and convergence -Discretisation in space and convergence -Resolution of linear problem (in line with differential equations) -Methods of interpolation and approximation -Discretisation of partial differential equations (in time and space).

Educational goals

At the end of the course, the student will be able to: -Address the numerical solution of a differential equation -Recognize and understand the main numerical analysis methods - Propose and evaluate a method to solve differential equations of moderate complexity - Assess the methods used in a complex CFD codes (commercial or academic) The competences introduced in this lecture are : - Design of simple CFD software - Choice of option in a complex CFD software - Evaluation of numerical convergence

Sustainable development goals

Knowledge control procedures

Final Exam
Comments:

Online resources

Numerical Analysis lecture notes, lecture slides Exercises sheets Textbooks: Analyse Numï¿œrique , M. Schatzman, Dunod

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching. The last three sessions will be dedicated to exercises. The exercises sheets are given in advance prepared independently at home, and discussed during the sessions.

Sequencing / learning methods

Number of hours - Lectures :	30
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Mathematics course, Programming Language course

Maximum number of registrants

Remarks

Course label :	Programing Language
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_PLA - Practical Language

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers

Summary

The aim of this course is to train the students on a programming language: FORTRAN, through presentations, practices and examples. The topics presented in the lecture are as follow: -Working with linux and the shell -Structure of FORTRAN programs, functions, subroutines and modules -TYPES and array, dynamic memory allocation -Loop and conditions structures ("for" , while and if ) -Using inputs and outputs (in consoles and in files, in ascii and binary) -Generating publishing-grade Portable Document Files (.pdf) using LaTeX, for report writing

Educational goals

At the end of the course, the student will be able to -Use a computer with a linux type operating system -Write standard programs with FORTRAN, compile them, debug them, validate them and use them -Produce .pdf documents with LaTeX. The competence introduced in this lecture are: -Programming -Use of an OS in command line

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by writing a program in limited time, along with a short documentation explaining how the program is structured and what is the validation testcase.

Online resources

Lecture slides

Pedagogy

Lectures (30%) practice and exercises on a computer (70%)

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	20
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Standard computer literacy

Maximum number of registrants

Remarks

Course label :	Artificial intelligence
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_AIN - Artificial intelligence

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
External contributors (business, research, secondary education): various temporary teachers

Summary

Machine Learning and artificial intelligence are being more and more used in many areas of science and technology and have of course received some attention from the fluid mechanics and turbulence community. A fluid dynamicist should therefore have a clear idea of what these tools are, whether they should be used for his/her purpose and how can they be used. He should of course also know that machine learning does not necessarily equates to neural networks. This course will therefore be a short introduction to machine learning and its use in turbulence. The central principles of machine learning will be reminded and the main methods will be introduced. Recent applications to turbulence will be presented. Finally, some practices using pythons will be proposed

Educational goals

At the end of the course the student should be able to - Know the main principles of machine learning and data based methods. - Know the main types of machine learning (supervised/unsupervised/reinforcement learning etc.) and the main types of algorithms (nearest neighbours, parametric models, neural networks etc.) - Know some of the recent applications of machine learning in turbulence - Use a machine learning library on python to perform fundamental tasks

Sustainable development goals

Knowledge control procedures

Final Exam
Comments:

Online resources

Lecture notes and transparencies Text of practices

Pedagogy

Lectures, computer practices

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Numerical analysis course, mathematics course, programming course, fluid mechanics course, turbulence course

Maximum number of registrants

Remarks

Course label :	CFD practices
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_CFD - CFD practices

Education team

Teachers : Mister JEAN-MARC FOUCAUT / Mister JORAN ROLLAND / Mister SARP ER
External contributors (business, research, secondary education): various temporary teachers

Summary

The aim of this course is to familiarise the student with the use of Computational Fluid Dynamics (CFD) softwares such as StarCCM or openfoam to solve numerically the evolution equations of a flow with given control parameters. Following some instructions, the students will run simulations on canonical test cases (channel flow, backward facing step, flow around a cylinder and an airfoil) at lower and higher Reynolds number and assess the quality of the results.

Educational goals

-Learning how to install and set up a new CFD software -Designing a flow domain and a mesh for a numerical simulation -Choosing an adapted model given control parameters of a flow and assessing the quality of the numerical result (convergence, choice of model etc.) -Running the simulations, analyzing the result and writing a comprehensive report about them

Sustainable development goals

Knowledge control procedures

Continuous Assessment
Comments: The evaluation will be done by a writing a report on all studied testcases.

Online resources

Exercise sheets, scientific literature (selected articles, NACA reports), data base of experimental results

Pedagogy

Practice sessions where the student receive the exercise sheet sets up and run the numerical simulation of a flow, after generating the flow domain and the mesh.

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	20
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Numerical analysis course, fluid dynamics course, turbulence course, programming course, computer practice course

Maximum number of registrants

Remarks

Course label :	High Performance Computing & High fidelity simulation
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	3
Results grid :
Code and label (hp) :	MR_TUR_CMA_HPC - High. Perfor. Computing & HFS

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

This course is taught by Dr. LP LAVAL The course will provide the state of the art on high fidelity simulations (direct numerical simulations and large eddy simulations) of turbulent flows in academic and industrial configurations (isotropic turbulence, wall bounded flows, ￜ). Then, the basis of high performance programming (MPI and OpenMP programming) are introduced. In a second part, the different families of subgrid scale models are presented and compared. The course will end with a personal practice in which the students perform and analyze a DNS and a LES of Homogeneous Isotropic Turbulence.

Educational goals

The first objective is to provide students with an overview of the possibilities with Direct Numerical Simulation (DNS) in several flow configurations. As DNS are usually associated to very large simulations and high performance computing . An introduction to parallelisation technics and languages such as MPI and OpenMP will also be offered. In a second part the aim is to provide a thorough knowledge about the theory of Large Eddy Simulation (LES). The different families of subgrid scale models (turbulent viscosity, scale similarity, ...) will be also presented and compared. The aim is to give to the students the ability to lead a project in HPC, design an algorithm for parallel codes and chose the parameters to generate a large numerical database of turbulent flows.

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: A report on the personnal practice describing the DNS and LES results obtained with a pseudo-spectral code

Online resources

Pedagogy

Class sessions will be set up with blackboard and presentation teaching. In a second part, a numerical code for direct numerical simulation is provided for a personal practice for which the students must modify the code to implement a new subgrid scale model.

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	10
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good skills in Fortran of C programming language and numerical methods and good knowledge on turbulence.

Maximum number of registrants

Remarks

Course label :	Turbulent flows and small-scale turbulence
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_TFS - Turbulent flows and small-scal

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

This course is taught by Prof. JC VASSILICOS Energy considerations motivate the need of two-point statistics for the understanding of the turbulence energy dissipation's independence on viscosity at high enough Reynolds number. The theory of two-point turbulence statistics is presented in a fully generalised Karman-Howarth framework which is then applied to locally homogeneous and locally stationary turbulence (equilibrium) to derive the main results of Kolmogorov 1941. The Taylor-Kolmogorov equilibrium relation for turbulence energy dissipation follows and its pivotal importance for turbulence phenomenology, theory and modeling is explained. This relation is then used to close the mass-momentum-energy equations for planar jets and planar wakes and it is shown how, on the basis of this relation, one can obtain the most basic and important properties of such boundary-free shear flows in cases where they are self-preserving: the jet/wake width growth with streamwise distance and the jet/width mean velocity/velocity deficit decay with streamwise distance. The course goes on to introduce the Turbulent/Non-Turbulent Interface (TNTI) and external intermittency, which is a remarkable phenomenon present very widely in turbulent shear flows. The TNTI is related to entrainment and jet/wake width growth and its mean speed relative to the flow is derived in terms of the Kolmogorov velocity. Finally, this second turbulence course also closes by demonstrating how some of this knowledge has been used in turbulence modelling, one-point turbulence model and the k-epsilon model in particular. Turbulence modelling requires some discussion of decaying homogeneous turbulence and homogeneous turbulence with uniform mean shear. This course's physical basis for two-point turbulence modelling such as Large Eddy Simulation is exploited in the turbulence simulation course.

Educational goals

At the end of the course, the student will be able to: - understand basic physics of interscale energy transfer, cascade and turbulence dissipation - understand the implications on these physics on turbulence dissipation scaling - derive from these physics and scalings theories of self-similar turbulent shear flows, use these theories broadly and apply their consequences to turbulence modeling - understand entrainment and the physics of the turbulent/non-turbulent interface and their consequences on turbulence prediction and modeling - know the caveats of current turbulence modeling and prediction methods

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation will be done by a terminal written exam.

Online resources

Written turbulence course notes Exercises

Pedagogy

Class sessions with active student participation will be set up with classical blackboard teaching. Sessions will be followed by tutorial sessions with exercises to be done independently during class and/or prepared at home. At the next tutorial session, these exercises will be corrected.

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Good level in vector calculus and mathematics in general, and a prior introduction to fluid dynamics

Maximum number of registrants

Remarks

Course label :	Turbulent transport of particles
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_TTP - Turb. transport of particles

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

Educational goals

Sustainable development goals

Knowledge control procedures

Final Exam
Comments:

Online resources

Pedagogy

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Maximum number of registrants

Remarks

Course label :	Aerodynamics
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_AER - Aerodynamics

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

Educational goals

Sustainable development goals

Knowledge control procedures

Final Exam
Comments:

Online resources

Pedagogy

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Maximum number of registrants

Remarks

Course label :	Turbulence & Turbomachinery
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	2
Results grid :
Code and label (hp) :	MR_TUR_CMA_TMA - Turbulence & Turbomachinery

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

This course is taught by Prof. A. Dazin and Dr. F. Romano The aim of the course is to give to the students: - A basic knowledge on the operation of turbomachinery - The link between the design of the machines and their performance - The numerical tools for the prediction of the machine performance and their internal flows with a particular emphasis on the effect of the turbulence model and the boundary conditions on the results reliability.

Educational goals

At the end of the course, the student will : - Know the different types of turbomachinery and their applications - Obtain a preliminary design of axial or radial pumps and compressors - Be able to carry out numerical simulations of turbomachinery and to analyze the effect of the boundary conditions and the turbulence model on the results quality

Sustainable development goals

Knowledge control procedures

Final Exam
Comments: The evaluation is based on two projects on: - On the Preliminary Design of a machine - The numerical simulation of a second machine

Online resources

Fluid mechanics course material Computers, CFD code

Pedagogy

Lectures and theoretical and numerical tutorials

Sequencing / learning methods

Number of hours - Lectures :	20
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Global equations of Fluid Mechanics First and Second Principle of Fluid Mechanics and their application Basic knowledge on turbulence

Maximum number of registrants

Remarks

Course label :	Research internship
Teaching departement :	/
Teaching manager :
Education language :	French
Potential ects :	15
Results grid :
Code and label (hp) :	-

Education team

Teachers :
External contributors (business, research, secondary education): various temporary teachers

Summary

The main purpose of the internship is the gradual acquisition of the autonomy necessary for work in the field of research. Apart from the scientific skills related to the subject itself, the targeted skills are adaptation to work in a research team, the ability to integrate into a group dynamic, the development of autonomy in the search for solutions and their elaboration, personal contribution to the creation of new knowledge.

Educational goals

Sustainable development goals

Knowledge control procedures

Continuous Assessment / Final Exam
Comments: The trainee must submit a report to the host organization and have it validated by it before submitting it to the educational institution.

Online resources

Pedagogy

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	0
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Maximum number of registrants

Remarks

Course label :	Industrial Seminar
Teaching departement :	CMA /
Teaching manager :	Mister JEAN-MARC FOUCAUT
Education language :
Potential ects :	0
Results grid :
Code and label (hp) :	MR_TUR_CMA_ISE - Industrial Seminar

Education team

Teachers : Mister JEAN-MARC FOUCAUT
External contributors (business, research, secondary education): various temporary teachers

Summary

Educational goals

Sustainable development goals

Knowledge control procedures

Comments:

Online resources

Pedagogy

Sequencing / learning methods

Number of hours - Lectures :	0
Number of hours - Tutorial :	0
Number of hours - Practical work :	0
Number of hours - Seminar :	12
Number of hours - Half-group seminar :	0
Number of student hours in TEA (Autonomous learning) :	0
Number of student hours in TNE (Non-supervised activities) :	0
Number of hours in CB (Fixed exams) :	0
Number of student hours in PER (Personal work) :	0
Number of hours - Projects :	0

Prerequisites

Maximum number of registrants

Remarks