J. Adjiman, Instabilités statiques de réseaux de structures élancées sous écoulement axial, ENSTA ParisTech, 2016.

J. Adjiman, P. Moussou, O. Doaré, H. Berro, O. Pascan et al., Divergence modes of a cluster of simply supported arrays in axial flow, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01412044

M. Almoteri, Simulations pour l'étude des forces fluides s'exerçant sur un faisceau de cylindres oscillants latéralement en écoulement axial, 2018.

A. Alves-de-moraes, Vibration of a fuel assembly under axial flow, 2017.

F. Archambeau, N. Méchitoua, and M. Sakiz, Code_Saturne : a Finite Volume Code for the Computation of Turbulent Incompressible Flows, International Journal on Finite, issue.1, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01115371

F. Beaud, An analytical model for the prediction of fluidelastic forces in a rod bundle subjected to axial flow : theory, experimental validation and application to PWR fuel assemblies, Proceedings of the ICONE5 International Conference on Nuclear Engineering, 1997.

P. Bisch, Mécanique des structures, École nationale des ponts et chaussées, 2009.

R. D. Blevins, Applied Fluid Dynamics Handbook, 1984.

R. D. Blevins, Formulas for Natural Frequency and Mode Shape, 1979.

B. Brenneman, S. J. Shah, G. T. Williams, and J. H. Strumpell, Water confinement effects on fuel assembly motion and damping, Transactions of the 17th International Conference on Structural Mechanics in Reactor Technology, 2003.

S. Chen, Vibration of nuclear fuel bundles, Nuclear Engineering and Design, vol.35, issue.3, pp.399-422, 1975.

S. Chen, Vibrations of a row of circular cylinders in a liquid, Journal of Engineering for Industry, vol.97, issue.4, pp.1212-1218, 1975.

S. Chen, Fluid damping for circular cylindrical structures, Nuclear Engineering and Design, vol.63, issue.1, pp.81-100, 1981.
DOI : 10.1016/0029-5493(81)90018-2

S. Chen, M. W. Et, and . Wambsganss, Parallel-flow-induced vibration of fuel rods, Nuclear Engineering and Design, vol.18, pp.253-278, 1972.

H. Chung, . Et-s.-s, and . Chen, Vibration of a group of circular cylinders in a confined fluid, Journal of Applied Mechanics, vol.44, issue.2, pp.213-217, 1977.

, Code_Saturne: Best practice guidelines : cell size at the wall

B. Collard, S. Pisapia, S. Bellizzi, and F. Witters, PWR fuel assembly modal testing and analysis, Proceedings of the ASME 2003 Pressure Vessels and Piping Conference, pp.147-152, 2003.
DOI : 10.1115/pvp2003-2084

URL : https://hal.archives-ouvertes.fr/hal-00097562

D. J. Dailey and R. W. Albrecht, In-core/ex-core neutron noise measurements to examine core internal vibrations in an operating PWR, Progress in Nuclear Energy, vol.15, pp.251-260, 1985.

J. De-ridder, J. Degroote, K. Van-tichelen, P. Schuurmans, and J. Vierendeels, Modal characteristics of a flexible cylinder in turbulent axial flow from numerical simulations, Journal of Fluids and Structures, vol.43, pp.110-123, 2013.

J. De-ridder, J. Degroote, K. Van-tichelen, and J. Vierendeels, Predicting modal characteristics of a cluster of cylinders in axial flow : From potential flow solutions to coupled CFD-CSM calculations, Journal of Fluids and Structures, vol.74, pp.90-110, 2017.

J. De-ridder, O. Doaré, J. Degroote, K. Van-tichelen, P. Schuurmans et al., Simulating the fluid forces and fluid-elastic instabilities of a clamped-clamped cylinder in turbulent axial flow, Journal of Fluids and Structures, vol.55, pp.139-154, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01215010

D. De-santis and A. Et, Shams: Numerical modeling of flow induced vibration of nuclear fuel rods, Nuclear Engineering and Design, vol.320, pp.44-56, 2017.

L. Divaret, Caractérisation des forces fluides s'exerçant sur un faisceau de cylindres oscillant latéralement en écoulement axial, ENSTA ParisTech, 2014.

L. Divaret, O. Cadot, P. Moussou, and O. Doaré, Normal forces exerted upon a long cylinder oscillating in an axial flow, Journal of Fluid Mechanics, vol.752, pp.649-669, 2014.
DOI : 10.1017/jfm.2014.342

URL : https://hal.archives-ouvertes.fr/hal-01133512

L. Divaret, P. Moussou, O. Cadot, J. Berland, and O. Doaré, U-RANS simulation of fluid forces exerted upon an oscillating tube array in axial flow at large Keulegan-Carpenter numbers, ERCOFTAC Bulletin, vol.86, pp.20-25, 2011.

O. Doaré, Oscillations of slender structures in still fluid : Added mass calculations, effect of confinment. MOOC Fundamentals of Fluid-Solid Interactions, École Polytechnique, 2016.

A. P. Dowling, The dynamics of towed flexible cylinders. Part 1 : neutrally buoyant elements, Journal of Fluid Mechanics, vol.187, pp.507-532, 1988.

D. Duhamel, Faire une mesure en mécanique. Presses des Ponts, 2014.

S. Ersdal, O. M. Et, and . Faltinsen, Normal forces on cylinders in near-axial flow, Journal of Fluids and Structures, vol.22, issue.8, pp.1057-1077, 2006.
DOI : 10.1016/j.jfluidstructs.2006.05.003

N. Esteves, Aérodynamique d'un faisceau de tubes en écoulement axial, 2015.

J. H. Ferziger and M. Peri´cperi´c, Numerische Strömungsmechanik, 2008.

J. C. Flamand, J. C. Maguin, A. Mattei, J. Rigaudeau, and J. C. Leroux, Influence of axial coolant flow on fuel assembly damping for the response to horizontal seismic loads, Transactions of the 11th International Conference on Structural Mechanics in Reactor Technology, 1991.

Y. Fujita, H. Et, and . Ozaki, Neutron noise monitoring of reactor core internal vibrations at PWRs in Japan, Progress in Nuclear Energy, vol.9, pp.423-436, 1982.

J. O. Gagnon and M. P. , Païdoussis: Fluid coupling characteristics and vibration of cylinder clusters in axial flow. Part I : theory, Journal of Fluids and Structures, vol.8, issue.3, pp.257-291, 1994.

J. O. Gagnon and M. P. , Païdoussis: Fluid coupling characteristics and vibration of cylinder clusters in axial flow. Part II : experiments, Journal of Fluids and Structures, vol.8, issue.3, pp.293-324, 1994.

S. E. Haaland, Simple and Explicit Formulas for the Friction Factor in Turbulent Pipe Flow, Journal of Fluids Engineering, vol.105, issue.1, pp.89-90, 1983.

M. J. Hannoyer and M. P. Païdoussis, Instabilities of tubular beams simultaneously subjected to internal and external axial flows, Journal of Mechanical Design, vol.100, issue.2, pp.328-336, 1978.

W. R. Hawthorne, The early development of the Dracone flexible barge, Proceedings of the Institution of Mechanical Engineers, vol.175, pp.52-83, 1961.

E. Ter-hofstede, S. Kottapalli, and A. Shams, Numerical prediction of flow induced vibrations in nuclear reactor applications, Nuclear Engineering and Design, vol.319, pp.81-90, 2017.

A. Hotta, H. Niibori, M. Tanaka, and K. Fujita, Parametric study on parallel flow induced damping of PWR fuel assembly. Dans Proceedings of the ASME 1990 Pressure Vessels and Piping Conference, 1990.

, IRSN: Le réexamen de sûreté des réacteurs à eau sous pression de 900 MWe à l'occasion de leurs troisièmes visites décennales, 2009.

A. Joly, FICEL : rapport d'activité de deuxième année de thèse, 2017.

R. R. Jones, Properties of low-aspect-ratio pointed wings at speeds below and above the speed of sound, NACA Report, vol.835, 1946.

E. De-langre, M. P. Païdoussis, O. Doaré, and Y. Modarres-sadeghi, Flutter of long flexible cylinders in axial flow, Journal of Fluid Mechanics, vol.571, pp.371-389, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01025717

T. S. Lee, Stability analysis of the Ortloff-Ives equation, Journal of Fluid Mechanics, vol.110, pp.293-295, 1981.

J. C. Leroux, S. De-perthuis, and J. Rigaudeau, Qualification of industrial models for the justification of fuel assembly lateral strength during an earthquake, Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology, 1993.

M. J. Lighthill, Mathematics and Aeronautics, Journal of the Royal Aeronautical Society, vol.64, pp.375-394, 1960.

M. J. Lighthill, Note on the swimming of slender fish, Journal of Fluid Mechanics, vol.9, issue.2, pp.305-317, 1960.

Z. G. Liu, Y. Liu, and J. Lu, Fluid-structure interaction of single flexible cylinder in axial flow, Computers & Fluids, vol.56, pp.143-151, 2012.

Z. G. Liu, Y. Liu, and J. Lu, Numerical simulation of the fluid-structure interaction for an elastic cylinder subjected to tubular fluid flow, Computers & Fluids, vol.68, pp.192-202, 2012.

J. Lopes, M. P. Païdoussis, and C. Semler, Linear and nonlinear dynamics of cantilevered cylinders in axial flow. Part 2 : the equations of motion, Journal of Fluids and Structures, vol.16, issue.6, pp.715-737, 2002.

R. Y. Lu and D. D. , Seel: PWR fuel assembly damping characteristics, Proceedings of the ICONE14 International Conference on Nuclear Engineering, pp.14-89535, 2006.

. Mitsubishi-heavy-industries and . Ltd, Axial flow damping test of the full scale US-APWR fuel assembly. Note MUAP-13020-NP (R0) disponible en version publique, sans les données, 2013.

Y. Modarres-sadeghi, M. P. Païdoussis, and C. Semler, A nonlinear model for an extensible slender flexible cylinder subjected to axial flow, Journal of Fluids and Structures, vol.21, issue.57, pp.609-627, 2005.

P. M. Moretti and R. L. Lowery, Hydrodynamic inertia coefficients for a tube surrounded by rigid tubes, Journal of Pressure Vessel Technology, vol.98, issue.3, pp.190-193, 1976.

P. Moussou, A. Guilloux, E. Boccaccio, and G. Ricciardi, Fluid Damping in Fuel Assemblies, Proceedings of the ASME 2017 Pressure Vessels and Piping Conference, pp.2017-65664, 2017.

M. M. Munk, The aerodynamic forces on airship hulls, NACA Report, vol.184, 1924.

C. R. Ortloff and J. Ives, On the dynamic motion of a thin flexible cylinder in a viscous stream, Journal of Fluid Mechanics, vol.38, issue.4, pp.713-720, 1969.

M. P. Païdoussis, Dynamics of flexible slender cylinders in axial flow. Part 1 : theory, Journal of Fluid Mechanics, vol.26, issue.4, pp.717-736, 1966.

M. P. Païdoussis, Dynamics of flexible slender cylinders in axial flow. Part 2 : experiments, Journal of Fluid Mechanics, vol.26, issue.4, pp.737-751, 1966.

M. P. Païdoussis, Dynamics of cylindrical structures subjected to axial flow, Journal of Sound and Vibration, vol.29, issue.3, pp.365-385, 1973.

M. P. Païdoussis, The dynamics of clusters of flexible cylinders in axial flow : theory and experiments, Journal of Sound and Vibration, vol.65, issue.3, pp.391-417, 1979.

M. P. Païdoussis, Fluid-Structure Interactions : Slender Structures and Axial Flow, tome 1, p.2, 2014.

M. P. Païdoussis, Fluid-Structure Interactions : Slender Structures and Axial Flow, tome 2, p.2, 2016.

M. P. Païdoussis and J. O. Gagnon, Experiments on vibration of clusters of cylinders in axial flow : modal and spectral characteristics, Journal of Sound and Vibration, vol.96, issue.3, pp.341-352, 1984.

M. P. Païdoussis, E. Grinevich, D. Adamovic, and C. Semler, Linear and nonlinear dynamics of cantilevered cylinders in axial flow. Part 1 : physical dynamics, Journal of Fluids and Structures, vol.16, issue.6, pp.691-713, 2002.

M. P. Païdoussis and S. Suss, Stability of a cluster of flexible cylinders in bounded axial flow, Journal of Applied Mechanics, vol.44, issue.3, pp.401-408, 1977.

H. P. Pao, Dynamical stability of a towed thin flexible cylinder, Journal of Hydronautics, vol.4, issue.4, pp.144-150, 1970.

A. Papukchiev, P. Pandazis, H. V. Hristov, and M. Scheuerer, Validation of coupled CFDCSM methods for vibration phenomena in nuclear reactor cores, IUTAM symposium on critical flow dynamics around moving/deformable structures with design applications, 2018.

Y. Perets, E. Sher, and R. Harari, An experimental study on axial-flow-induced vibration of confined flexible rods with sequenced transverse rib roughness, Experimental Thermal and Fluid Science, vol.93, pp.86-95, 2018.

R. Perony, P. Et, and . Moussou, Interprétation des essais Dédale en termes de forces fluides en régime quasistatique, 2016.

J. C. Queval, F. Gantenbein, D. Brochard, A. Benjedidia, and J. Rigaudeau, Seismic behavior of PWR fuel assemblies model and its validation, Transactions of the 11th International Conference on Structural Mechanics in Reactor Technology, 1991.

P. Rebuffet, Aérodynamique expérimentale, tome 1. Dunod, p.3, 1969.

G. Ricciardi, Coupled porous medium leakage flow modelling applied on a fuel assembly subjected to axial flow, Proceedings FIV2016, pp.313-318, 2016.

G. Ricciardi, Fluid-structure interaction modelling of a PWR fuel assembly subjected to axial flow, Journal of Fluids and Structures, vol.62, pp.156-171, 2016.

G. Ricciardi, Proceedings of the ASME 2017 Pressure Vessels and Piping Conference, pp.2017-65045, 2017.

G. Ricciardi, Dynamical Nonlinear Modelling Of A Pressurized Water Reactor Fuel Assembly Subjected To An Axial Flow, Procedia Engineering, vol.199, pp.1314-1319, 2017.

G. Ricciardi, Parametric study on confinement effect on a fuel assembly dynamical behavior under axial flow, Journal of Fluids and Structures, vol.78, pp.109-125, 2018.
DOI : 10.1016/j.jfluidstructs.2017.12.022

G. Ricciardi, S. Bellizzi, B. Collard, and B. Cochelin, Modelling Pressurized Water Reactor cores in terms of porous media, Journal of Fluids and Structures, vol.25, pp.112-133, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00425063

G. Ricciardi, S. Bellizzi, and B. Collard, Cochelin: Fluid-structure interaction in a 3-by-3 reduced-scale fuel assembly network. Science and Technology of Nuclear Installations, 2010.
DOI : 10.1155/2010/517471

URL : https://doi.org/10.1155/2010/517471

G. Ricciardi, E. Et, and . Boccaccio, Stiffening of a fuel assembly under axial flow, Proceedings FIV2012, 2012.

G. Ricciardi, E. Et, and . Boccaccio, Modelling of the flow induced stiffness of a PWR fuel assembly, Nuclear Engineering and Design, vol.282, pp.8-14, 2015.

J. Rigaudeau, D. Brochard, and A. Benjedidia, Fluid structure interaction in the response of PWR fuel assemblies to horizontal seismic loads, Transactions of the 12th International Conference on Structural Mechanics in Reactor Technology, 1993.

S. Rinaldi, M. P. Et, and . Païdoussis, Theory and experiments on the dynamics of a free-clamped cylinder in confined axial air-flow, Journal of Fluids and Structures, vol.28, pp.167-179, 2012.

S. Rippon, History of the PWR and its worldwide development, Energy policy, vol.12, issue.3, pp.259-265, 1984.

C. Rouby, Modélisation des structures élancées. Notes de cours, ENSTA ParisTech, 2017.

S. R. Schmid, B. J. Hamrock, and B. O. Jacobson, Fundamentals of Machine Elements, p.3, 2014.

C. Semler, J. Lopes, N. Augu, and M. P. Païdoussis, Linear and nonlinear dynamics of cantilevered cylinders in axial flow. Part 3 : nonlinear dynamics, Journal of Fluids and Structures, vol.16, issue.6, pp.739-759, 2002.

F. E. Stokes and R. A. King, PWR fuel assembly dynamic characteristics, 1979.

H. Tanaka, S. Et, and . Takahara, Fluid elastic vibration of tube array in cross flow, Journal of Sound and Vibration, vol.77, pp.19-37, 1981.

H. Tanaka, S. Takahara, and K. Ohta, Flow-induced vibration of tube arrays with various pitch-to-diameter ratios, Journal of Pressure Vessel Technology, vol.104, pp.168-174, 1982.

H. Tanaka, K. Tanaka, F. Shimizu, and S. Takahara, Fluidelastic analysis of tube bundle vibration in cross-flow, Journal of Fluids and Structures, vol.16, pp.93-112, 2002.

M. Tanaka, K. Fujita, A. Hotta, and N. Kono, Parallel flow induced damping of PWR fuel assembly, Proceedings of the ASME 1988 Pressure Vessels and Piping Conference, 1988.

G. I. Taylor, Analysis of the swimming of long and narrow animals, Proceedings of the Royal Society of London A : Mathematical, Physical and Engineering Sciences, vol.214, pp.158-183, 1952.

G. S. Triantafyllou and C. Chryssostomidis, Analytic determination of the buckling speed of towed slender cylindrical beams, Journal of Energy Resources Technology, vol.106, issue.2, pp.246-249, 1984.

G. S. Triantafyllou and C. Et, Chryssostomidis: Stability of a string in axial flow, Journal of Energy Resources Technology, vol.107, issue.4, pp.421-425, 1985.

G. S. Triantafyllou and C. Chryssostomidis, The dynamics of towed arrays, Journal of Offshore Mechanics and Arctic Engineering, vol.111, issue.3, pp.208-213, 1989.

D. J. Tritton, Physical Fluid Dynamics, 1988.

E. Viallet and T. Et, Kestens: Prediction of flow induced damping of a PWR fuel assembly in case of seismic and LOCA load case, Transactions of the 17th International Conference on Structural Mechanics in Reactor Technology, 2003.

P. L. Viollet, J. P. Chabard, P. Esposito, and D. Laurence, Mécanique des fluides appliquée. Presses des Ponts et Chaussées, 2002.

G. N. Ward, Supersonic flow past slender pointed bodies, Quarterly Journal of Mechanics and Applied Mathematics, vol.2, issue.1, pp.75-97, 1949.

W. Wen, Forces fluides exercées sur un cylindre déformé en écoulement axial et confiné : étude numérique et comparaison avec des résultats expérimentaux, 2018.

F. M. White, Fluid Mechanics, p.7, 2011.

P. Yvon, R. Schill, P. Coffre, X. Averty, J. Rigaudeau et al., Results of crush tests performed on irradiated PWR zircaloy-4 spacer grids, Structural behaviour of fuel assemblies for water cooled reactors, pp.289-296, 2005.
DOI : 10.1299/jsmeicone.2003.60