syllabus

SEMESTRE 1 Semester 1 - Common part IN401 - ISAE Digital Infrastructure and Services for Education OBJECTIVES To reach the Information system of the ISAE. : Organization 2 Cours (2.5 h) 1 TD (1.25 h) Total: 3.75 h Hours: 3.75 h : : CONTENTS This course aims at giving to the students necessary competences to use a heterogeneous computing system organized in network. It will have to present the whole of the tools present, the methods and the techniques available to use the computer tools in teaching at ISAE. Course director: Laurent DAIRAINE ISAE contact: Laurent DAIRAINE Bibliography: BIBLIOGRAPHIE : - http://intranet.isae.fr/SI 8/47 DN401 - Mathematics 1 OBJECTIVES This course is an introduction to the mathematics modelisation of engineering problems. Pre-requisites: Modest background in mathematics (and physics). - Matrix algebra, ordinary differential equations. - Vector calculus Organization 12 Cours (15 h) 1 Test écrit (1.25 h)

Total: 16.25 h Hours: 16.25 h : : CONTENTS Introduction of Partial Differential Equations(classification : Elliptic, Parabolic, Hyperbolic). Different tools are presented to characterize the solutions in some simple model problems. 1-For the heat equation which is the propotype of parabolic equation, 1.1) We introduce the methods of the separation of variables in 1D with a bounded domain. 1.2) Using Fourier transform, we express the solution in 2D and 3D for unbounded domain. 1.3) We introduce the notion of the fundamental solution. In all cases, the nature of the solution is studied (qualitative properties) in relation with the physics modelised by the equation. 2-For the transport equation and the waves equation which are the propotypes of hyperbolic equation, 2.1) We introduce the notion of the characteristics to give interpretations. 2.2) The method of the separation of variables and the Fourier transform is recall in this situation. 3- Complements : Maxwell's equations. Course director: Michel FOURNIE ISAE contact: Michel SALAUN Bibliography: - Applied Partial Differential Equations,John David Logan. Springer, 2004. - Partial Differential Equations for Scientists and Engineers, Tyn Myint U., Lokenath Debnath. North Holland, 1987. - Partial Differential Equations: An Introduction,Walter A. Strauss. Wiley, 1992. DN402 - Mathematics 2 :

Hours: 23.75 h : : Course director: Michel FOURNIE ISAE contact: Didier DELORME : 10/47 1FR - French as a foreign language OBJECTIVES Completing the non-French speaking students' academic background in order to enable them to : - Understand their counterparts in different situations. - Be able to communicate in everyday French language - Get a better approach into French culture and help them carve out a place into French society during their studies. : Hours: 50.5 h Personal work estimation: 30 h ECTS: 3 CONTENTS METHOD: Listening comprehension, speaking, reading comprehension and writing through videos and recordings. Studying French culture and today's French Society . Course director: Anne REYNAUD ISAE contact: Jean-Claude JACQUES : 1LAN - Foreign language OBJECTIVES Completing the students' academic background in the chosen foreign language in order to enable them to : - Understand people in different situations. - Be able to communicate in everyday language - Get a better approach into the culture of the country

: Hours: 50.5 h Personal work estimation: 30 h ECTS: 3 CONTENTS METHOD: Listening comprehension, speaking, reading comprehension and writing through videos and recordings. Studying the culture of the country and today's Society . Course director: Jean-Claude JACQUES ISAE contact: Jean-Claude JACQUES : 12/47 HA402 - Shells standardisation Pre-requisites: Bonnes connaissances en élasticité et mécanique des milieux continus. La théorie des poutres, des plaques et des coques est également requise. Organization 6 PC (7.5 h) Total: 7.5 h Hours: 7.5 h Personal work estimation: 30 h : Course director: Serge CREZE ISAE contact: Yves GOURINAT Bibliography: BIBLIOGRAPHIE : Fournie par le responsable du module HA404 - MATLAB Standardisation OBJECTIVES L'objectif général du cours est d'apprendre à utiliser les principales fonctions du logiciel MATLAB, outil de base en calcul scientifique. Cette harmonisation permet de bien débuter les cours de

du mastère SAS en dynamique des structures et aéroélasticité. Pre-requisites: Mathématiques/automatique de premier cycle, vibrations Organization 4 TP (5 h) Total: 5 h Hours: 5 h : : CONTENTS De nombreux domaines de l'ingénierie mécanique pour des problématiques aéronautiques mettent en oeuvre des outils numériques tels que Matlab. L'aéroélasticité et la dynamique des structures en sont de bons exemples : l'ingénieur en mécanique a besoin de notions « systèmes » en traitement du signal, calcul scientifique ou automatique. Exercices : système MCK en vibration (EDO), identification paramétrique Course director: Joseph MORLIER ISAE contact: Joseph MORLIER : 14/47 Semester 1 - Aeronautical Engineering Group 1 SM410 - Aircraft structures OBJECTIVES To address the load cases and load-calculation methods applied to aircraft structures under present-day requirements. To understand the applicable behaviour of structures and their sub-assemblies. To integrate fracture mechanics models and behaviour schemes. : Organization 28 Cours (35 h) 12 BE (15 h)

1 TP (1.25 h) Total: 51.25 h Hours: 51.25 h : ECTS: 4 CONTENTS * Flight loads * Calculation rules * Ground loads - landing gear * General airframe architecture * Buckling in aeronautical structures * Calculation of typical substructures: wings, fuselage, etc... * Fracture mechanics and fatigue analysis of airframes Course director: Jacques HUET ISAE contact: Jacques HUET Bibliography: handout 16/47 AE401 - Aerodynamics 1 OBJECTIVES To study the wide range of theories, methods and tools used in aeronautics, both for viscous flow and inviscid flow : Organization 11 Cours (13.75 h) 2 BE (2.5 h) 2 TP (2.5 h) 6 PC (7.5 h) Total: 26.25 h Hours: 26.25 h : ECTS: 2.5 CONTENTS . General equations * Compressible inviscid flows: isentropic relations, St. Venant, one-dimensional

* Flow, Hugoniot's theorem * Normal and oblique shock waves * Viscous flows: general properties of flow * Study of boundary layers: laminar flow * Study of turbulent boundary layers * Calculation of boundary layers, separation * Compressibility effect Course director: Jean COUSTEIX ISAE contact: Alain LACOMBE Bibliography: Handout PE401 - Propulsion 1 OBJECTIVES To provide students with a grounding in aeronautical propulsion methods (turbojet engine, gas turbine) used by designers and operators. : Organization 8 Cours (10 h) 12 BE (15 h) Total: 25 h Hours: 25 h : ECTS: 2.5 CONTENTS Aeronautical propulsion : thermodynamic studies of turbo-machinery cycles and optimisation of these cycles, aerothermodynamic dimensioning of components (compressor, turbine, combustion chamber) Course director: Alain CARRERE ISAE contact: Alain LACOMBE Bibliography: handout 18/47 CS411 - Flight control laws OBJECTIVES To learn the bases of automatic control theory and its application to the design of flight control law To address the various functions and avionics components of the aircraft system

Pre-requisites: AN401 Organization 12 Cours (15 h) 6 BE (7.5 h) 1 Test écrit (1.25 h) Total: 23.75 h Hours: 22.50 h : ECTS: 3 CONTENTS Automatic control theory : linear servo-loops, frequencydomain and time-domain approcaches, state-stape system analysis and control law design Matlab training session Application to flight and control design : open-loop and closed-loop modal analysis, inner and outer loop (automatic pilot) control design Introduction to modern aircraft flight control system : flight management, navigation, guidance, fly by wire, flight instrument Course director: Daniel ALAZARD ISAE contact: Daniel ALAZARD Bibliography: handout 20/47 Semester 1- Aeronautical Engineering - Group 2 SM400 - Computer Aided design (CATIA) OBJECTIVES To learn to use the main functions of CATIA, the CAD/CAM software tool, not only for design and drawing, but also for specific applications of digital, kinematic and robotic control. To understand the relevance of CAD in aircraft feasibility studies. : Organization

8 Cours (10 h) 6 BE (7.5 h) Total: 17.5 h Hours: 17.50 h : ECTS: 2 CONTENTS Lectures : The course is based on the design of the external structure of an Airbus-type passenger aircraft. Designing the shape of such structures involves analysing a number of technical constraints and obstacles. This course studies the nose section, the various bearing surfaces and the tail cone. * 3D design of lines and solids * Curves and surfaces * 2D and 3D kinematics Laboratory sessions :Completion of a 3D design project Course director: Serge CREZE ISAE contact: Alain LACOMBE Bibliography: handout THN2 - Vibrations - Modal analysis : Organization 10 Cours (12.5 h) 2 BE (2.5 h) 4 PC (5 h) 1 Test écrit (1.25 h) Total: 21.25 h Hours: 21,25 h : ECTS: 2 CONTENTS Introduction Physiology of vibrations. Introduction to modal analysis. Sensors and measuring chains, feeds.

Calibrations. Modal analysis Model - one degree of freedom: equations, frequency response function (FRF). Concepts of receptance, mobility, accelerance. Definition of modal parameters: natural frequency, damping, residuals, deformation. Model - several degrees of freedom: eigen values, eigen vectors. Modal mass, modal stiffness. Different types of damping. Signal processing Recap covering digital signals: Shannon's theorem, quantification. Discrete Fourier transform, FFT algorithm. Estimation of FRF, coherence function. Weighting windows: Hanning, transient, exponential. Carrying out a modal test Test preparation. Structure characterization: meshing, reference selection. Measurements. Estimation of modal parameters. Smoothing methods. Course director: Franck SIMON ISAE contact: Frédéric LACHAUD : 22/47 AN401 - Flight dynamics 1 OBJECTIVES To study flight dynamics, aircraft balance and flying qualities. To acquire a basis for analysing and regulating the flying qualities of an aircraft. : Organization 12 Cours (15 h) 11 BE (13.75 h) 1 TP (1.25 h)

1 Oral (1.25 h) Total: 31.25 h Flight (CAS) Hours: 32.50 h : ECTS: 3 CONTENTS * Balance : general presentation, models and methods * Equations of longitudinal balance, balance of the aircraft versus lift and propulsion, synthesis of longitudinal behaviour * Equations of lateral balance; straight flight with side slip and banking * Dynamic behaviour: longitudinal and lateral fight dynamic modes, time simulation of natural aircraft and analysis of compensators * Analytical and digital approach Course director: Gilles TAQUIN ISAE contact: Alain LACOMBE Bibliography: handout DN400 - Applied aerodynamics OBJECTIVES Necessary start-off via fluid mechanics followed by essentially experimental aerodynamics: importance and interactions of various shape parameters on aerodynamic parameters of force, moments and longitudinal and lateral stability. : Organization 10 Cours (12.5 h) 2 BE (5 h) 1 Test écrit (1.25 h) Total: 18.75 h Hours: 21.25 h Personal work estimation: 5 h ECTS: 1.5 CONTENTS

Fundamental equations of fluid dynamics. Definitions relating to airfoil and wings. Pressure representations. Pressure coefficients. Viscosity. Reynolds number. Boundary layer. Lift. Drag. Lift/Drag ratio. Lift curve. Aerodynamic center. Lift augmentation. Lift hyposustentation. Aerobraking. Stability. Longitudinal Maneuverability. Aerodynamic centers. Tri-dimensional efflux. Induced drag. Winglets. Transsonic and supersonic efflux. Supercritical profile. Swept-back wing. The complete aircraft. Transversal characteristics. Dihedral effect. Course director: Nicolas BINDER ISAE contact: Nicolas BINDER : 24/47 SM402 - Modeling for aeronautical structures OBJECTIVES Students will acquire the essential methods for the modelling and dimensioning of static structures for mechanical or thermal variations, by applying finite element techniques. Results obtained using the CATIA finite element code are applied to real cases, for which the different ways of modelling a structure are examined by studying how the accuracy of the results is influenced by the parameters (schematising, meshing, elements, etc.). These results will be used to demonstrate the main rules of modelling. : Organization 8 Cours (10 h) 2 BE (2.5 h) 6 PC (7.5 h) 1 Oral (1.25 h) Total: 21.25 h

Hours: 20 h : ECTS: 2.5 CONTENTS * Modelling the behaviour of bar, beam and plate-type structures * Presentation of automatic mesher * Presentation of topological mesher Practical sessions : Short project involving the calculation of a structure, a presentation and feedback Course director: Serge CREZE ISAE contact: Alain LACOMBE Bibliography: handout 26/47

SEMESTRE 2

2nd semester - Languages and Culture 2CULT - culture : Hours: 20 h : ECTS: 1 CONTENTS The origins of writing ; their common points. - The Mediterranean Sea, cradle of European civilization; mythology; the Bible - City planning of an ancient city - The Europe of Charlemagne; pilgrimages; Merchants' houses from the XIIIth to the XVIth centuries - Versailles and centralization of power. - The Industrial Revolution in Europe - Contemporary art as from WWII. Course director: Françoise MERLET ISAE contact: Didier DELORME : 2FR - French as a foreign language OBJECTIVES Completing the non-French speaking students' academic background in order to enable them to : - Understand their counterparts in different situations. - Be able to communicate in everyday French language - Get a better approach into French culture and help them carve out a place into French society during their studies. : Hours: 50 h Personal work estimation: 30 h : CONTENTS Listening comprehension, speaking, reading comprehension and writing through videos and recordings. Studying French culture and today's French Society . Course director: Jean-Claude JACQUES

ISAE contact: Jean-Claude JACQUES : 28/47 2LAN - Foreign language OBJECTIVES Completing the students' academic background in the chosen foreign language in order to enable them to : - Understand people in different situations. - Be able to communicate in everyday language - Get a better approach into the culture of the country : Hours: 50 h Personal work estimation: 30 h : CONTENTS Listening comprehension, speaking, reading comprehension and writing through videos and recordings. Studying the culture of the country and today's Society . Course director: Jean-Claude JACQUES ISAE contact: Jean-Claude JACQUES : 30/47

2nd semester - major 1 - Aerodynamics 4-3 MMF 22 - Acoustique OBJECTIVES Cet enseignement constitue une introduction à la physique de la propagation sonore. Ce cours est découpé en deux parties, lıune consacrée à l'Acoustique Générale et l'autre aux Fondements de l'Aéroacoustique. L'Aéroacoustique est la science du bruit dıorigine aérodynamique. Le cours est axé sur les mécanismes généraux de production de bruit par les écoulements instationnaires. Lıaccent est mis sur lıanalogie acoustique, en tant quıapproche permettant de formuler un problème dıaéroacoustique comme un problème dıacoustique linéaire. Les cours traitent des

couplages de petites perturbations dans un gaz, du rayonnement des sources mobiles en translation, du bruit des jets et du bruit des structures non profilées placées dans un écoulement. Les différents aspects sont éclairés par lıanalyse dimensionnelle et des techniques de modélisation analytiques. Pre-requisites: 1SIG2 1SIG3 3TMF4 2TMF2 Organization 12 Cours (15 h) 1 BE (2.5 h) 6 TD (7.5 h) 2 PC (2.5 h) 1 Test écrit (1.25 h) Total: 28.75 h Hours: 27,5 h Personal work estimation: 10 h ECTS: 3 CONTENTS Acoustique générale Traitement des signaux acoustiques Propagation Rayonnement Bruit généré par un écoulement instationnaire Analogie acoustique Couplages avec les fluctuations de vitesse de gaz Rayonnement de sources en mouvement Bruit de jet Analyse dimensionnelle et outils de prédiction analytiques Course director: Franck SIMON, Michel ROGER ISAE contact: Laurent JOLY Bibliography: M. Bruneau, Acoustique physique, Cours de maîtrise Université du Maine. D.R. Raichel, The science and application of acoustics,

Springer, 2000. F.J. Fahy, Engineering acoustics, Academic Press, 2000. DN410 - Softwares for computational fluid dynamics OBJECTIVES This course is an introduction to Computational Fluid Dynamics (CFD) using commercial softwares. It aims at providing to the students a first experience in the fields of grid generation and numerical simulation, with the industrial point of view. At the end of the course, the students should : - be aware of the different steps which are necessary to the numerical simulation of flows; - know the fundamentals of the CFD scientist; - be used to the modern tools of the field. Pre-requisites: AE401 Necessary scientific background : Fluid mechanics - Physics and mechanics of incompressible real fluids - Physics of compressible fluids Organization 1 Cours (1.25 h) 9 BE (22.5 h) 4 PC (5 h) 1 Oral (0.5 h) Total: 29.25 h Hours: 29.25 h Personal work estimation: 15 h ECTS: 4 CONTENTS Fundamentals of grid generation, main strategies. Introduction to ICEMCFD (industrial meshing sotware). Fundamentals of computational fluid dynamics : review of the different methods for the discretization of the equations, initial and boundary conditions of a computation, turbulence models, near-wall treatment, convergence. Introduction to FLUENT (commercial CFD software) : generation of a computational case, analysis of the results.

The introduction to the softwares will consist in practising directly on computers (maximum 3 students per machine) during the design office sessions. A final project will be the basis of the evaluation. 4 design office sessions of 2hr30 each will be devoted to this project, and an oral presentation of the results will conclude the course. Course director: Stéphane JAMME ISAE contact: Stéphane JAMME Bibliography: BIBLIOGRAPHY C. Hirsch, Numerical Computation of Internal and External Flows. Vol. 1 et 2, Wiley, 1988. J-H. Ferziger & M. Peric, Computational Methods for Fluid Dynamics. Sringer-Verlag, 2001. CFD Online : CFD resources on the Internet (http://www.cfd-online.com/). C. Hirsch, Numerical Computation of Internal and External Flows. Vol. 1 et 2, Wiley, 1988. J-H. Ferziger & M. Peric, Computational Methods for Fluid Dynamics. Sringer-Verlag, 2001. CFD Online : CFD resources on the Internet (http://www.cfd-online.com/). 32/47 DN412 - Flight characteristics OBJECTIVES The goal of this course is to illustrate the relationship between the aerodynamic characteristics of an aircraft and the ability to fly it: - balancing it around its center of gravity; - maneuvering it; - stabilizing its movements. Fly-by-wire controls and flight computers have radically changed the approach to designing aircraft. The pilot now only defines the instructions and the computer ensures stabilization and compliance with those instructions. An aircraft no longer needs to be

naturally stable. In parallel, this module presents the dimensioning study for the control surfaces and the studies required for defining the control laws which will be integrated in the computers. Pre-requisites: AN401 AE401 Organization 11 Cours (13.75 h) 5 BE (12.5 h) 1 TD (1.25 h) 2 PC (2.5 h) 1 Oral (0.5 h) Total: 30.5 h Hours: 30.5 h Personal work estimation: 15 h ECTS: 4 CONTENTS Dimensioning the control surfaces - Aircraft dimensioning and flying characteristics. - Dimensioning the horizontal stabilizer. - Dimensioning the vertical stabilizer. - Roll. - Ground phases and failures. Control laws - The natural aircraft. - Control law expression of requirements. - Aerodynamic techniques for designing the laws. - Validating the control laws. - Future changes. Course director: Frederic SAUVINET ISAE contact: Stéphane JAMME Bibliography: BIBLIOGRAPHY P. Lecomte, Mécanique du vol, Dunod, 1962. J-C. Wanner, La Mécanique du vol, Dunod, 1969. P. Naslin, Théorie de la commande & conduite optimale, Dunod, 1969. P. Lecomte, Mécanique du vol, Dunod, 1962. J-C.

Wanner, La Mécanique du vol, Dunod, 1969. P. Naslin, Théorie de la commande & conduite optimale, Dunod, 1969. DN413 - Experimental approach in fluid mechanics OBJECTIVES The goal of this course is twofold: on the one hand, it presents the test facilities and measurement technics used in research and prospective activities in Aerodynamics and Fluid mechanics; on the other hand, it proposes a methodology for an experimental approach. This course is illustrated by a presentation of the test and measuring equipment at the ISAE Fluid Mechanics Laboratory and an oral presentation of the various industrial wind tunnels in Europe. Lastly, there is a practical part enabling the students to develop the method on a simple and original example in concrete terms Pre-requisites: Mechanics of incompressible fluids - Mechanics of compressible fluids - Aerodynamics Organization 16 Cours (20 h) 8 BE (10 h) Total: 30 h Hours: 30 h Personal work estimation: 15 h ECTS: 4 CONTENTS Introduction to the experimental approach. The laboratory's test equipment and industrial wind tunnels. The velocity, force, pressure and temperature measuring instruments and the measuring chains. The technical visualization . The experimental methodology: - before the test: expression of the requirement, the options, the test program, - during the test: traceability, avoiding redundancy, - after the test: the test and summary reports.

Course director: Nicolas BINDER ISAE contact: Nicolas BINDER

SEMESTRE 3 semester 3 - Languages 3FR - French as a foreign language OBJECTIVES Completing the academic background of non-French speaking students in order to enable them to : - Understand their counterparts in different situations. - Be able to communicate in everyday French - Improve knowledge of French culture in order to enable students to function on a day to day basis while in France Hours: 50 h Personal work estimation: 30 h ECTS: 3 CONTENTS Listening comprehension, speaking, reading comprehension and writing through videos and recordings. Studying French culture and society. Course director: Anne O’MAHOMEY ISAE contact: Anne O’MAHOMEY 5/52 3LAN - Foreign language OBJECTIVES Completing the students' academic background in the chosen foreign language in order to enable them to : - Understand people in different situations. - Be able to communicate in everyday language - Improve cultural awareness of the country Hours: 50 h Personal work estimation: 30 h ECTS: 3 CONTENTS

Listening comprehension, speaking, reading comprehension and writing through videos and recordings. Studying the culture of the country and society. Course director: Anne O’MAHOMEY ISAE contact: Anne O’MAHOMEY 6/52

Semester 3 - Major 1 : Advanced Fluid Dynamics 5TMF7 - Turbomachines OBJECTIVES Based on the historical context of the aeronautical turbomachinery evolution, the objectives are :

to explain their thermodynamics operation and justify the steps observed over years ;

to present a complete review of the design tools used during the conception process and the challenges and issues raised by their development. Pre-requisites: 1TMF1 3TMF3 3TMF4 2TMF2 Organization 9 Cours (11.25 h) 3 BE (7.5 h) 2 TD (2.5 h) Total: 21.25 h Hours: 21.25 h Personal work estimation: 5 h ECTS: 1.5 CONTENTS History of technology. Compressor and Turbine operation, cycle computation. Flight operation. Thermal Efficiency, Propulsion Efficiency. Bypass ratio interest.

Regulation principle. Technological description and development Future technologies. Course director: Laurent PIERRE ISAE contact: Xavier CARBONNEAU Bibliography: Baskhrmore, Erian, A. Cambridge (Ed.) Principles of Turbomachinery in Air-Breathing Engines 2006 Cumpsty, N. Cambridge (Ed.) Jet Propulsion 2007 Maclsaac, b. & Langton, R. WILEY (Ed.) Gas turbine Porpulsion Systems 2011 Walsh, P, P. & Fletcher, P. Publishing, B. (Ed.) Gas Turbine Performance 2004 Flack, Ronald, D. Series, C. A. (Ed.) Fundamentals of Jet Propulsion with Applications 2005 Mattingly, J. Hill, M. G. (Ed.) Elements of Gas Turbine Propulsion 1996 Oates, Gordon, C. AIAA (Ed.) Aircraft Propulsion Systems Technology and design 1989 Mattingly, Jack, D.; Heiser, William, H. & Pratt, David, T. AIAA (Ed.) Aircraft Engine Design Second Edition 2002 . 7/52

5-5 MMF 51 - Aéroélasticité OBJECTIVES Donner des compétences sur la physique et le dimensionnement industriel des situations de couplage fluide-structure. Organization 17 Cours (21.25 h) 1 BE (2.5 h) 1 Test écrit (1.25 h) Total: 25 h Hours: 23,75 h Personal work estimation: 20 h ECTS: 3.5 CONTENTS Présentation des phénomènes. Paramètres adimensionnels. Détachement tourbillonnaire. Le flottement. Aéroélasticité quasi statique des structures flexibles. Cycle limite d'oscillation. Etude linéarisée et Simulation non-linéaire. Analyse prédictive du flottement en régime subsonique. Méthode expérimentale en soufflerie. Aéroélasticité industrielle. Flottement dynamique et structure avion. Modélisation par représentation d'états. Stabilité et contrôle d'un avion souple en flottement. Aspects pilotage, asservissements et confort. Essais en vol. Course director: Pascal HEMON ISAE contact: Vincent CHAPIN Bibliography: H-J. Morand et R. Ohayon, Interactions fluides structures, Masson, 1992. H. Dowell, E.F. Crawley, H-C. Curtiss, D-A. Peters, R-H. Scanlan et F. Sisto, A Modern Course in Aeroelasticity, Kluwer USA, 1995. 8/52 5-6 MMF 61 - Advanced Aerodynamics for Turbomachinery OBJECTIVES To give a comprehensive overview of the turbomachine

design procedure including aerodynamic and thermodynamic considerations, with respect of the methodologies and tools used for industrial design process. Pre-requisites: 1TMC1 1TGM1 1TMF1 3TMF4 5TMF7 Organization 9 Cours (11.25 h) 6 BE (15 h) 1 TD (1.25 h) 1 Test écrit (2.5 h) Total: 30 h Hours: 27,5 h Personal work estimation: 10 h ECTS: 3 CONTENTS Compressor aerodynamics Turbne aerodynamics High pressure turbomachine design Unsteady effects in turbimachine design Technological effects on performances Internal ventilation Course director: Xavier CARBONNEAU ISAE contact: Xavier CARBONNEAU Bibliography: Baskhrmore, Erian, A. Cambridge (Ed.) Principles of Turbomachinery in Air-Breathing Engines 2006 Cumpsty, N. Cambridge (Ed.) Jet Propulsion 2007 Maclsaac, b. & Langton, R. WILEY (Ed.) Gas turbine Porpulsion Systems

2011 Walsh, P, P. & Fletcher, P. Publishing, B. (Ed.) Gas Turbine Performance 2004 Flack, Ronald, D. Series, C. A. (Ed.) Fundamentals of Jet Propulsion with Applications 2005 Mattingly, J. Hill, M. G. (Ed.) Elements of Gas Turbine Propulsion 1996 Oates, Gordon, C. AIAA (Ed.) Aircraft Propulsion Systems Technology and design 1989 Mattingly, Jack, D.; Heiser, William, H. & Pratt, David, T. AIAA (Ed.) Aircraft Engine Design Second Edition 2002 9/52 5-8 MMF 71 - Aéroacoustique OBJECTIVES Cet enseignement constitue un approfondissement de l'acoustique de deuxième année. Il vise à former aux problèmes d'acoustique complexe en présence d'un écoulement. La pratique industrielle de l'aéroacoustique des aéronefs est abordée en fin de module. Une première partie présente des concepts d'acoustique moderne et d'acoustique fondamentale avec un volume horaire consacré à l'application. La seconde partie, plus développée, explore le champ très vaste de l'aéroacoustique avec le soucis de focaliser la formation sur les cas d'applications de l'industrie aéronautique. L'aéroacoustique est la science qui traite du bruit produit par les écoulements instationnaires. Le cours est axé sur les mécanismes de production de bruit par les surfaces portantes, et plus spécifiquement sur le bruit de raies

émis par les machines tournantes. Pre-requisites: 1SIG2 4-3 MMF 22 Organization 16 Cours (20 h) 1 BE (2.5 h) 5 TD (6.25 h) 1 Oral (0.5 h) Total: 29.25 h Hours: 28,75 h Personal work estimation: 10 h ECTS: 3 CONTENTS - Théorie acoustique linéaire et non-linéaire, - Sismique, contrôle non destructif, - Systèmes acoustiques Non Linéaires, thermoacoustique, "Métamatériaux" et "Fractals" acoustiques, - Mesure (aéro)acoustiques (intensimétrie, impédance,...), - Théories analytiques de l'aérodynamique instationnaire, - Rayonnement des sources en rotation, - Bruit des rotors libres, - Mécanismes d'interaction de sillages, - Propagation guidée en conduit avec écoulement et applications au bruit des turbomachines. Course director: Michel ROGER ISAE contact: Vincent CHAPIN Bibliography: M. Bruneau, Manuel d’Acoustique Fondamentale, Hèrmes, (1998) D.R. Raichel, The science and application of acoustics, Springer(2000) ; F.J. Fahy, Foundations of Engineering acoustics, Academic Press (2001). S.W. Rienstra & A. Hirschberg, An Introduction to Acoustics, Eindhoven University of Technology, (2004) 10/52

5-9 MMF 81 - Turbulence OBJECTIVES Dans un premier temps, il s'agit de donner une large ouverture sur la turbulence en Mécanique des fluides sans privilégier telle ou telle orientation de recherche dans ce domaine. L'accent est mis sur les propriétés physiques du phénomène à l'origine de certaines des spécificités du traitement mathématique. Dans un deuxième temps, il s'agit de donner les éléments permettant de comprendre et d'utiliser les méthodes modernes de calcul des écoulements turbulents, basés sur la modélisation statistique en un point. L'enseignement doit permettre aux étudiants : - de connaître et de comprendre les idées actuelles sur le phénomène et ses modes d'action ; - de poser le problème de modélisation et de fermeture dans le cadre de l'approche statistique de la turbulence ; - de connaître les principaux modèles de fermeture au premier ordre utilisés actuellement, leur contenu physique et leurs carences. Pre-requisites: 3TMF3 2TMF2 Organization 14 Cours (17.5 h) 1 BE (2.5 h) 4 TD (5 h) 1 Test écrit (2 h) Total: 27 h Hours: 25 h Personal work estimation: 20 h ECTS: 3.5 CONTENTS Rappels : définition et caractérisation du régime turbulent, description statistique en un point, turbulence homogène et turbulence isotrope. Théorie des corrélations en deux points : tenseur de corrélation en THI isovolume, échelles de longueur, dynamique des corrélations. Approche spectrale en THI : tenseurs spectraux, spectres monodimensionnels, dynamique

spectrale, hypothèses de Kolmogorov. Modélisation à haut nombre de Reynolds, point de vue spectral - coût d'une simulation directe de la turbulence , formalisation du problème de fermeture, comportement du matériau turbulent, fermeture au premier ordre, élaboration du modèle, carences de ce modèle, extensions, éléments d'une fermeture du second ordre, éléments d'une modélisation sous-maille - modèle de Smagorinsky et extensions. Couche limite turbulente : la loi logarithmique et les évolutions de grandeurs moyennes qui s'en déduisent. Spécificités de la turbulence de paroi : anisotropie, effets de viscosité, bilans d'énergies et dissipation. Modélisation : modèles algébriques, modèles à deux équations de transport, notion d'amortissement, régularisation des échelles. Course director: Laurent JOLY ISAE contact: Laurent JOLY Bibliography: P. Chassaing, Turbulence en mécanique des fluides : Analyse du phénomène en vue de sa modélisation à l'usage de l'ingénieur, CEPADUES, 2000. R. Schiestel, Modélisation et simulation des écoulements turbulents, Hermes, 1993. T. Cebeci & A.M.O. Smith, Analysis of turbulent boundary layers, Academic press, 1974. Pierre Sagaut, Introduction à la simulation des grandes échelles pour les écoulements de fluide incompressible, Springer 1998. 11/52 5-10 MMF 101 - Programmation numérique parallèle OBJECTIVES Donner les compétences tant informatiques que mathématiques pour le développement de logiciels numériques performants, plus spécialement dans le domaine de la simulation, en environnement d'exécution parallèle. A la fin de cet enseignement, les étudiants doivent être capables de concevoir un logiciel numérique (méthode

de résolution et implantation informatique) pour la simulation de problèmes de grande taille avec comme préoccupations majeures la qualité du résultat numérique et la minimisation du temps d'exécution en environnement parallèle. A cette fin, les étudiants doivent maîtriser les concepts fondamentaux du calcul parallèle, les méthodes d'optimisation de code et posséder une bonne pratique des outils de parallélisation les plus courants. : Organization 3 BE (7.5 h) 18 PC (22.5 h) 1 Test écrit (1.25 h) Total: 31.25 h Hours: 30 h Personal work estimation: 15 h ECTS: 3.5 CONTENTS - Résolution des équations aux dérivées partielles. - Méthodes de décomposition en sous-domaines. - Résolution des systèmes linéaires de grande taille: algèbre linéaire pleine et creuse. - Méthodes directes et itératives Course director: Luc GIRAUD ISAE contact: Michel SALAUN Bibliography: Algorithms and Theory of Computation Handbook, CRC press, 1998, ISBN 0-8493-2649-4. B. Wilkinson et M. Allen, Parallel Computing, Prentice Hall, 1998, ISBN 0-13-671710-1. 12/52 5-7 MMF 92 - Mécanique des Fluides Numérique OBJECTIVES Ce module est une introduction à la simulation numérique en mécanique des fluides. Il a pour vocation, à la fois de donner une vision globale du domaine en présentant des points de vues industriels et de chercheurs, et de fournir les principaux éléments nécessaires à la maîtrise des

outils de simulation numérique modernes et à leur validation. Pre-requisites: 3TMF3 3TMF4 Organization 11 Cours (13.75 h) 5 BE (12.5 h) 4 TD (5 h) 1 Oral (0.5 h) Total: 31.75 h Hours: 32,5 h Personal work estimation: 15 h : CONTENTS Contexte et enjeux de la simulation numérique aujourd'hui. Stratégies "simulation numérique" d'une PME et d'un groupe aéronautique. Mise en oeuvre et maîtrise d'un code de calcul de mécanique des fluides. Modèles continus et modèles discrets. Consistance, Stabilité et Convergence de modèles discrets. Conditions initiales et aux limites. Dissipation et dispersion. Pratique et validation de simulations. Course director: Vincent CHAPIN ISAE contact: Vincent CHAPIN Bibliography: H. Lomax, T. Pulliam, D. Zingg, Fundamentals of Computational Fluid Dynamics, Springer-Verlag, 2001. C. Hirsch, Numerical Computation of Internal and External Flows. Vol. 1 et 2, Wiley, 1992. J-H. Ferziger & M. Peric, Computational Methods for Fluid Dynamics. Sringer-Verlag, 2001. CFD Online : portail internet CFD