N. Aghajari and M. Schäfer, Efficient shape optimization for fluid-structure interaction problems, J. Fluids Struct, vol.57, pp.298-313, 2015.

N. Aubin, B. Augier, P. Bot, F. Hauville, and R. Floch, Inviscid approach for upwind sails aerodynamics. how far can we go?, J. Wind Eng. Ind. Aerodyn, vol.155, pp.208-215, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01591858

B. Augier, P. Bot, F. Hauville, and M. Durand, Experimental validation of unsteady models for fluid structure interaction: application to yacht sails and rigs, J. Wind Eng. Ind. Aerodyn, vol.101, pp.53-66, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01071567

B. Augier, Etudes expérimentales de l'interaction fluide-structure sur surface souple: application aux voiles de bateaux, 2012.

T. Bäck and H. P. Schwefel, An overview of evolutionary algorithms for parameter optimization, Evolut. Comput, vol.1, issue.1, pp.1-23, 1993.

S. Barnett and S. Barnett, Matrix Methods for Engineers and Scientists, 1979.

P. Chandrashekar and R. Duvigneau, Study of some strategies for global optimization using Gaussian process models with application to aerodynamic design, 2009.

V. G. Chapin, R. Neyhousser, G. Dulliand, P. ;. Chassaing, and Y. M. Marzouk, Design optimization of interacting sails through viscous CFD, INNOVSail, Innovation in high performance sailing Yacht, vol.35, pp.2643-2670, 2008.

P. G. Constantine, M. S. Eldred, and E. T. Phipps, Sparse pseudospectral approximation method, Comput. Methods Appl. Mech. Eng, pp.1-12, 2012.
DOI : 10.1016/j.cma.2012.03.019

URL : http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1108&context=usdoepub

T. Crestaux, O. Le-mai?tre, and J. M. Martinez, Polynomial chaos expansion for sensitivity analysis, Reliab. Eng. Syst. Saf, vol.94, issue.7, pp.1161-1172, 2009.

J. De-baar, S. Roberts, R. Dwight, and B. Mallol, Uncertainty quantification for a sailing yacht hull, using multi-fidelity kriging, Comput. Fluids, vol.123, pp.185-201, 2015.

J. Degroote, I. Couckuyt, J. Vierendeels, P. Segers, and T. Dhaene, Inverse modelling of an aneurysm's stiffness using surrogate-based optimization and fluidstructure interaction simulations, Struct. Multidiscip. Optim, vol.46, issue.3, pp.457-469, 2012.

F. Di-pierro, S. Khu, D. Savi?, and L. Berardi, Efficient multi-objective optimal design of water distribution networks on a budget of simulations using hybrid algorithms, Environ. Model. Softw, vol.24, issue.2, pp.202-213, 2009.

M. Durand, A. Leroyer, C. Lothodé, F. Hauville, M. Visonneau et al., FSI investigation on stability of downwind sails with an automatic dynamic trimming, Ocean Eng, vol.90, pp.129-139, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01158837

M. Durand, Interaction fluide-structure souple et légère, 2012. application aux voiliers

R. Duvigneau and P. Chandrashekar, Kriging-based optimization applied to flow control, Int. J. Numer. Methods Fluids, vol.69, issue.11, pp.1701-1714, 2012.
DOI : 10.1002/fld.2657

URL : https://hal.archives-ouvertes.fr/hal-00639819

A. J. Espinet and C. A. Shoemaker, Comparison of optimization algorithms for parameter estimation of multi-phase flow models with application to geological carbon sequestration, Adv. Water Resour, vol.54, pp.133-148, 2013.

R. G. Flay, A twisted flow wind tunnel for testing yacht sails, J. Wind Eng. Ind. Aerodyn, vol.63, issue.1-3, pp.171-182, 1996.

R. G. Ghanem and P. D. Spanos, Stochastic Finite Elements: A Spectral Approach, 1991.

M. N. Gibbs, Bayesian Gaussian Processes for Classification and Regression, 1997.

D. Ginsbourger, R. Le-riche, and L. Carraro, Computational Intelligence in Expensive Optimization Problems, chap. Kriging Is Well-Suited to Parallelize Optimization, pp.131-162, 2010.

B. Glaz, P. P. Friedmann, and L. Liu, Helicopter vibration reduction throughout the entire flight envelope using surrogate-based optimization, J. Am. Helicopter Soc, vol.54, issue.1, pp.12007-12007, 2009.

N. Hansen and A. Ostermeier, Completely derandomized self-adaptation in evolution, Strateg. Evolut. Comput, vol.9, issue.2, pp.159-195, 2001.

H. Hansen, P. S. Jackson, and K. Hochkirch, Real-time velocity prediction program for wind tunnel testing of sailing yachts, Proceedings of The Modern Yacht, 2003.

N. Hansen, The CMA Evolution Strategy: A Comparing Review, Towards a new evolutionary computation, pp.75-102, 2006.

D. Huang, T. T. Allen, W. I. Notz, and N. Zeng, Global optimization of stochastic black-box systems via sequential kriging meta-models, J. Glob. Optim, vol.34, issue.3, pp.441-466, 2006.

L. Huetz and P. E. Guillerm, Database building and statistical methods to predict sailing yacht hydrodynamics, Ocean Eng, vol.90, pp.21-33, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01161688

S. Jeong, M. Murayama, and K. Yamamoto, Efficient optimization design method using kriging model, J. Aircr, vol.42, issue.2, pp.413-420, 2005.

D. R. Jones, M. Schonlau, and W. J. Welch, Efficient global optimization of expensive black-box functions, J. Glob. Optim, vol.13, issue.4, pp.455-492, 1998.

D. R. Jones, A taxonomy of global optimization methods based on response surfaces, J. Glob. Optim, vol.21, issue.4, pp.345-383, 2001.

G. Kalitzin, G. Medic, G. Iaccarino, and P. Durbin, Near-wall behavior of RANS turbulence models and implications for wall functions, J. Comput. Phys, vol.204, issue.1, pp.265-291, 2005.

J. Katz and A. Plotkin, Low-Speed Aerodynamics second edn, 2001.

J. P. Kleijnen, Kriging metamodeling in simulation: a review, Eur. J. Oper. Res, vol.192, issue.3, pp.707-716, 2009.

R. Korpus, Performance Prediction without Empiricism: A RANS-Based VPP and Design Optimization Capability, Proceedings of the 18th Chesapeake Sailing Yacht Symposium, 2007.

J. Laurenceau and P. Sagaut, Efficient response surfaces of aerodynamic functions with kriging and cokriging, AIAA J, vol.46, issue.2, pp.498-507, 2008.

O. P. Le-maître and O. M. Knio, Spectral Methods for Uncertainty Quantification, Scientific Computation, 2010.

L. Pelley, D. J. Modral, and O. , V-Spars: A Combined Sail and Rig Shape Recognition System Using Imaging Techniques, Proceedings of the 3rd High Performance Yacht Design Conference, pp.2-4, 2008.

J. Liu, W. Song, Z. Han, and Y. Zhang, Efficient aerodynamic shape optimization of transonic wings using a parallel infilling strategy and surrogate models, Struct. Multidiscip. Optim, pp.1-19, 2016.
DOI : 10.1007/s00158-016-1546-7

M. D. Mckay, R. J. Beckman, and W. J. Conover, A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, vol.42, issue.1, pp.55-61, 2000.

M. Sacher, Journal of Fluids and Structures, vol.69, pp.209-231, 2017.

W. Menotti, M. Durand, D. Gross, Y. Roux, D. Glehen et al., An unsteady FSI investigation into the cause of the dismating of the Volvo 70 Groupama 4, INNOVSail, Innovation in high performance sailing Yacht, 0197.

F. R. Menter, M. Kuntz, and R. Langtry, Turbulence heat and mass transfer, Ten years Ind. Exp. SST Turbul. Model, vol.4, pp.625-632, 2003.

K. Nakashino, M. C. Natori, J. Nelder, and R. Mead, Efficient modification scheme of stress-strain tensor for wrinkled membranes, Comput. J, vol.43, issue.1, pp.208-313, 1965.

P. V. Oossanen, Predicting the speed of sailing yachts, SNAME, vol.101, pp.337-397, 1993.

V. Picheny, T. Wagner, and D. Ginsbourger, A benchmark of kriging-based infill criteria for noisy optimization, Struct. Multidiscip. Optim, vol.48, issue.3, pp.607-626, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00658212

R. Ranzenbach, D. Armitage, and A. Carrau, Mainsail Planform Optimization for IRC 52 Using Fluid Structure Interaction, Proceedings of the 21st Chesapeake Sailing Yacht Symposium, 2013.

C. E. Rasmussen and C. K. Williams, Gaussian Processes for Machine Learning, 2006.

N. ;. Rousselon, S. Huberson, F. Hauville, J. P. Boin, M. Guilbaud et al., Yacht performance prediction : Towards a numerical VPP, Proceedings of the 1st High Performance Yacht Design Conference, pp.4-6, 2002.

Y. Roux, M. Durand, A. Leroyer, P. Queutey, M. Visonneaum et al., Strongly coupled VPP and CFD RANSE code for sailing yacht performance prediction, Proceedings of the 3rd High Performance Yacht Design Conference, pp.215-225, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01156261

A. Saltelli, S. Tarantola, F. Campolongo, and M. Ratto, Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models, 2004.

V. K. Saul'ev and I. I. Samoilova, Approximation methods for the unconstrained optimization of functions of several variables, J. Sov. Math, vol.4, issue.6, pp.681-705, 1975.

T. Simpson, J. Poplinski, N. P. Koch, and J. Allen, Metamodels for computer-based engineering design: survey and recommendations, Eng. Comput, vol.17, issue.2, pp.129-150, 2001.

I. M. Sobol, Sensitivity estimates for nonlinear mathematical models, Math. Model. Comput. Exp, vol.1, pp.407-414, 1993.

M. L. Stein, Interpolation of Spatial Data-Some Theory for Kriging, 2012.

B. Sudret, Global sensitivity analysis using polynomial chaos expansions, Reliab. Eng. Syst. Saf, vol.93, issue.7, pp.964-979, 2008.
DOI : 10.1016/j.ress.2007.04.002

URL : https://hal.archives-ouvertes.fr/hal-01432217

D. Trimarchi, Analysis of downwind sail structures using non-linear shell finite elements, 1995.

I. M. Viola, P. Bot, and M. Riotte, Upwind sail aerodynamics: a RANS numerical investigation validated with wind tunnel pressure measurements, Int. J. Heat. Fluid Flow, vol.39, pp.90-101, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01071323

V. Mises and R. , Mathematical Theory of Probability and Statistics, 1964.

J. Winokur, D. Kim, F. Bisetti, O. P. Le-maître, and O. M. Knio, Sparse pseudo spectral projection methods with directional adaptation for uncertainty quantification, J. Sci. Comput, pp.1-28, 2016.

M. Sacher, Journal of Fluids and Structures, vol.69, pp.209-231, 2017.

R. Simpson, T. Poplinski, J. Koch, N. P. Allen, and J. , Metamodels for computer-based engineering design: survey and recommendations, Eng Comput, vol.17, issue.2, pp.129-150, 2001.

J. P. Kleijnen, Kriging metamodeling in simulation: a review, Eur J Oper Res, vol.192, issue.3, pp.707-716, 2009.

V. Vapnik, New York Marrel A, Iooss B, Laurent B, Roustant O (2009) Calculations of sobol indices for the gaussian process metamodel, Reliab Eng Syst Saf, vol.94, issue.3, pp.742-751, 1995.

P. Wang, Z. Lu, and Z. Tang, An application of the kriging method in global sensitivity analysis with parameter uncertainty, Appl Math Model, vol.37, issue.9, pp.6543-6555, 2013.

H. Nickisch and C. E. Rasmussen, Approximations for binary gaussian process classification, J Mach Learn Res, vol.9, pp.2035-2078, 2008.

Y. Liu, Y. Shi, Q. Zhou, and R. Xiu, A sequential sampling strategy to improve the global fidelity of metamodels in multi-level system design, Struct Multidiscip Optim, vol.53, issue.6, pp.1295-1313, 2016.

C. Park, R. T. Haftka, and N. H. Kim, Remarks on multi-fidelity surrogates, Struct Multidiscip Optim, vol.55, issue.3, pp.1029-1050, 2017.

H. Dong, B. Song, P. Wang, and Z. Dong, Surrogate-based optimization with clustering-based space exploration for expensive multimodal problems, Struct Multidisc Optim, vol.57, issue.4, pp.1553-1577, 2017.

D. R. Jones, M. Schonlau, and W. J. Welch, Efficient global optimization of expensive Black-Box functions, J Glob Optim, vol.13, issue.4, pp.455-492, 1998.

J. Liu, W. P. Song, Z. H. Han, and Y. Zhang, Efficient aerodynamic shape optimization of transonic wings using a parallel infilling strategy and surrogate models, Struct Multidiscip Optim, vol.55, issue.3, pp.925-943, 2017.

B. Glaz, P. P. Friedmann, and L. Liu, Surrogate based optimization of helicopter rotor blades for vibration reduction in forward flight, Struct Multidiscip Optim, vol.35, issue.4, pp.341-363, 2008.

B. Glaz, P. P. Friedmann, and L. Liu, Helicopter vibration reduction throughout the entire flight envelope using surrogate-based optimization, J Amer Helicopter Soc, vol.54, issue.1, p.12007, 2009.

N. Aghajari and M. Schäfer, Efficient shape optimization for fluidstructure interaction problems, J Fluids Struct, vol.57, pp.298-313, 2015.

M. Sacher, F. Hauville, R. Duvigneau, O. L. Ma??trema??tre, N. Aubin et al., Efficient optimization procedure in non-linear fluidstructure interaction problem: application to mainsail trimming in upwind conditions, J Fluids Struct, vol.69, pp.209-231, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01589317

V. Picheny, T. Wagner, and D. Ginsbourger, A benchmark of krigingbased infill criteria for noisy optimization, Struct Multidiscip Optim, vol.48, issue.3, pp.607-626, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00658212

Z. Li, S. Ruan, J. Gu, X. Wang, and C. Shen, Investigation on parallel algorithms in efficient global optimization based on multiple points infill criterion and domain decomposition, Struct Multidiscip Optim, vol.54, issue.4, pp.747-773, 2016.

A. K. Jain, M. N. Murty, and P. J. Flynn, Data clustering: a review, ACM computing surveys (CSUR), vol.31, issue.3, pp.264-323, 1999.

Y. Zhang, C. Park, N. H. Kim, and R. T. Haftka, Function prediction at one inaccessible point using converging lines, J Mech Des, vol.139, issue.5, p.51402, 2017.
DOI : 10.1115/1.4036130

J. Suykens and J. Vandewalle, Least squares support vector machine classifiers, Neural Process Lett, vol.9, issue.3, pp.293-300, 1999.

A. Basudhar, C. Dribusch, S. Lacaze, and S. Missoum, Constrained efficient global optimization with support vector machines, Struct Multidiscip Optim, vol.46, issue.2, pp.201-221, 2012.
DOI : 10.1007/s00158-011-0745-5

T. Van-gestel, J. A. Suykens, B. Baesens, S. Viaene, J. Vanthienen et al., Benchmarking least squares support vector machine classifiers, Mach Learn, vol.54, issue.1, pp.5-32, 2004.

N. Hansen, The CMA Evolution Strategy: a comparing review, pp.75-102, 2006.
DOI : 10.1007/11007937_4

C. E. Rasmussen and C. Williams, Gaussian processes for machine learning, Springer handbook of computational intelligence, pp.871-898, 2006.

N. Hansen, The cma evolution strategy: a tutorial, 2016.
DOI : 10.1007/11007937_4

URL : https://hal.archives-ouvertes.fr/hal-01297037

D. Huang, T. T. Allen, W. I. Notz, and N. Zheng, Global optimization of stochastic Black-Box systems via sequential kriging meta-models, 2006.
DOI : 10.1007/s10898-005-2454-3

, J Global Optim, vol.34, issue.3, pp.441-466

M. Schonlau, Computer Experiments and Global Optimization, p.22234, 1997.

G. C. Cawley, Leave-one-out cross-validation based model selection criteria for weighted ls-svms, 2006 IEEE international joint conference on neural network proceedings. IEEE, pp.1661-1668, 2006.
DOI : 10.1109/ijcnn.2006.1716307

M. Stone, Cross-validatory choice and assessment of statistical predictions, J R Stat Soc Ser B Methodol, vol.36, issue.2, pp.111-147, 1974.
DOI : 10.1111/j.2517-6161.1974.tb00994.x

V. N. Vapnik and V. Vapnik, Efficient leave-one-out crossvalidation of kernel fisher discriminant classifiers, Pattern Recogn, vol.1, issue.11, pp.2585-2592, 1998.

G. C. Cawley and N. L. Talbot, Fast exact leave-one-out crossvalidation of sparse least-squares support vector machines, Neural Netw, vol.17, issue.10, pp.1467-1475, 2004.
DOI : 10.1016/j.neunet.2004.07.002

G. C. Cawley and N. L. Talbot, Preventing over-fitting during model selection via bayesian regularisation of the hyper-parameters, J Mach Learn Res, vol.8, pp.841-861, 2007.

D. M. Allen, The relationship between variable selection and data augmentation and a method for prediction, Technometrics, vol.16, issue.1, pp.125-127, 1974.

B. Van-calster, J. Luts, J. Suykens, G. Condous, T. Bourne et al., Comparing methods for multi-class probabilities in medical decision making using LSSVMs and kernel logistic regression, Artificial neural networks-ICANN 2007: 17th international conference, pp.139-148, 2007.

J. C. Platt, Probabilistic outputs for support vector machines and comparisons to regularized likelihood methods, Advan Large Margin Classifiers, vol.10, issue.3, pp.61-74, 1999.

H. T. Lin, C. J. Lin, and R. C. Weng, A note on platt's probabilistic outputs for support vector machines, Mach Learn, vol.68, issue.3, pp.267-276, 2007.
DOI : 10.1007/s10994-007-5018-6

URL : https://link.springer.com/content/pdf/10.1007%2Fs10994-007-5018-6.pdf

D. V. Arnold and N. Hansen, A (1+1)-CMA-ES for constrained optimisation, pp.297-304, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00696268

Y. Tenne and C. Goh, Computational intelligence in expensive optimization problems. Adaptation, learning, and optimization, 2010.

B. Springer, B. Platt-jcschölkopf, C. Burges, A. Smola, M. Sacher et al., Flexible hydrofoil optimization for the 35th america's cup with constrained ego method, International Conference on Innovation in High Performance Sailing Yachts, Innov'Sail, pp.193-205, 1999.

M. Drela, XFOIL: an analysis and design system for low Reynolds number airfoils, pp.1-12, 1989.

J. Morgado, R. Vizinho, M. Silvestre, and J. P¨scoap¨scoa, {XFOIL} vs {CFD} performance predictions for high lift low reynolds number airfoils, 2016.

, Aerosp Sci Technol, vol.52, pp.207-214

M. Durand, A. Leroyer, C. Lothodé, F. Hauville, M. Visonneau et al., FSI Investigation on stability of downwind sails with an automatic dynamic trimming, Ocean Eng, vol.90, pp.129-139, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01158837

P. Pedersen, Some properties of linear strain triangles and optimal finite element models, Int J Numer Methods Eng, vol.7, issue.4, pp.415-429, 1973.

X. Yang, Q. Song, and A. Cao, Weighted support vector machine for data classification, Proceedings of the 2005 IEEE International Joint Conference on Neural Networks, vol.2, pp.859-864, 2005.

N. References-aghajari and M. Sch?-afer, Efficient shape optimization for fluid-structure interaction problems, J. Fluids Struct, vol.57, pp.298-313, 2015.

D. T. Akcabay, E. J. Chae, Y. L. Young, A. Ducoin, and J. A. Astolfi, Cavity induced vibration of flexible hydrofoils, J. Fluids Struct, vol.49, pp.463-484, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01087334

D. M. Allen, The relationship between variable selection and data augmentation and a method for prediction, Technometrics, vol.16, issue.1, pp.125-127, 1974.

D. V. Arnold and N. Hansen, An overview of evolutionary algorithms for parameter optimization, GECCO, ACM, vol.1, pp.1-23, 1993.

A. Basudhar, C. Dribusch, S. Lacaze, and S. Missoum, Constrained efficient global optimization with support vector machines, Struct. Multidiscip. Optim, vol.46, issue.2, pp.201-221, 2012.

G. C. Cawley, Leave-one-out cross-validation based model selection criteria for weighted LS-SVMs, The 2006 IEEE International Joint Conference on Neural Network Proceedings. IEEE, pp.1661-1668, 2006.

G. C. Cawley and N. L. Talbot, Efficient leave-one-out cross-validation of kernel fisher discriminant classifiers, Pattern Recognit, vol.36, issue.11, pp.2585-2592, 2003.

O. Coutier-delgosha, F. Deniset, J. A. Astolfi, and J. Leroux, Numerical prediction of cavitating flow on a two-dimensional symmetrical hydrofoil and comparison to experiments, J. Fluids Eng, vol.129, issue.3, pp.279-292, 2007.

M. Drela, XFOIL: an Analysis and Design System for Low Reynolds Number Airfoils, pp.1-12, 1989.

M. Sacher, Ocean Engineering, vol.157, pp.62-72, 2018.

A. Ducoin, F. Deniset, J. A. Astolfi, and J. Sigrist, Numerical and experimental investigation of hydrodynamic characteristics of deformable hydrofoils, J. Ship Res, vol.53, issue.4, pp.214-226, 2009.

M. Durand, Interaction fluide-structure souple et l eg ere, application aux voiliers, 2012.

M. Durand, A. Leroyer, C. Lothod-e, F. Hauville, M. Visonneau et al., FSI investigation on stability of downwind sails with an automatic dynamic trimming, Ocean. Eng, vol.90, pp.129-139, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01158837

R. Duvigneau and M. Visonneau, Hydrodynamic design using a derivative-free method, Struct. Multidiscip. Optim, vol.28, issue.2, pp.195-205, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01155871

B. Glaz, P. P. Friedmann, and L. Liu, Helicopter vibration reduction throughout the entire flight envelope using surrogate-based optimization, J. Am. Helicopter Soc, vol.54, issue.1, p.12007, 2009.

N. Hansen, The CMA evolution strategy: a comparing review, Towards a New Evolutionary Computation, pp.75-102, 2006.

D. Huang, T. T. Allen, W. I. Notz, and N. Zheng, Global optimization of stochastic black-box systems via sequential kriging meta-models, J. Glob. Optim, vol.34, issue.3, pp.441-466, 2006.

F. Hueber, G. Caponnetto, and C. Poloni, A Passively Morphing Trailing Edge Concept for Sailing Hydrofoil, 2017.

Y. Inukai, K. Horiuchi, T. Kinoshita, H. Kanou, and H. Itakura, Development of a single-handed hydrofoil sailing catamaran, J. Mar. Sci. Technol, vol.6, issue.1, pp.31-41, 2001.

S. Jeong, M. Murayama, and K. Yamamoto, Efficient optimization design method using kriging model, J. Aircr, vol.42, issue.2, pp.413-420, 2005.

D. R. Jones, M. Schonlau, and W. J. Welch, Efficient global optimization of expensive black-box functions, J. Glob. Optim, vol.13, issue.4, pp.455-492, 1998.

M. Kandasamy, D. Peri, S. K. Ooi, P. Carrica, F. Stern et al., Multi-fidelity optimization of a highspeed foil-assisted semi-planing catamaran for low wake, J. Mar. Sci. Technol, vol.16, issue.2, pp.143-156, 2011.

J. P. Kleijnen, Kriging metamodeling in simulation: a review, Eur. J. Oper. Res, vol.192, issue.3, pp.707-716, 2009.

J. Leroux, O. Coutier-delgosha, and J. A. Astolfi, A joint experimental and numerical study of mechanisms associated to instability of partial cavitation on twodimensional hydrofoil, Phys. Fluids, vol.17, issue.5, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00021404

W. Li, L. Huyse, and S. Padula, Robust airfoil optimization to achieve drag reduction over a range of Mach numbers, Struct. Multidiscip. Optim, vol.24, issue.1, pp.38-50, 2002.

H. Lin, C. Lin, and R. C. Weng, A note on Platt's probabilistic outputs for support vector machines, Mach. Learn, vol.68, issue.3, pp.267-276, 2007.

D. Macphee and A. Beyene, Fluid-structure interaction of a morphing symmetrical wind turbine blade subjected to variable load, Int. J. Energy Res, vol.37, issue.1, pp.69-79, 2013.

F. R. Menter, R. Langtry, S. Likki, Y. Suzen, P. Huang et al., A correlationbased transition model using local variables-Part I: model formulation, 2006.

, J. Turbomach, vol.128, issue.3, pp.413-422

J. Morgado, R. Vizinho, M. Silvestre, and J. A¡scoa, {XFOIL} vs {CFD} performance predictions for high lift low Reynolds number airfoils, Aerosp. Sci. Technol, vol.52, pp.207-214, 2016.

D. I. Papadimitriou and C. Papadimitriou, Aerodynamic shape optimization for minimum robust drag and lift reliability constraint, Aerosp. Sci. Technol, vol.55, pp.24-33, 2016.

C. Park, R. T. Haftka, and N. H. Kim, Remarks on multi-fidelity surrogates, Struct. Multidiscip. Optim, pp.1615-1488, 2016.

P. Pedersen, Some properties of linear strain triangles and optimal finite element models, Int. J. Numer. Meth. Eng, vol.7, issue.4, pp.415-429, 1973.

L. Piegl and W. Tiller, The NURBS Book, 1997.

J. C. Platt, Probabilistic outputs for support vector machines and comparisons to regularized likelihood methods, Adv. Large Margin Classif, vol.10, issue.3, pp.61-74, 1999.

C. E. Rasmussen and C. K. Williams, Gaussian Processes for Machine Learning, 2006.

A. Ribeiro, A. Awruch, and H. Gomes, An airfoil optimization technique for wind turbines, Appl. Math. Model, issue.10, pp.4898-4907, 2012.

P. Richards, A. Johnson, and A. Stanton, America's Cup downwind sails-vertical wings or horizontal parachutes?, J. Wind Eng. Ind. Aerod, pp.1565-1577, 2001.

M. Sacher, F. Hauville, R. Duvigneau, O. L. Maître, N. Aubin et al., Efficient optimization procedure in non-linear fluid-structure interaction problem: application to mainsail trimming in upwind conditions, J. Fluids Struct, vol.69, pp.209-231, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01589317

M. Schonlau, Computer Experiments and Global Optimization, 1997.

M. Sedlar, B. Ji, T. Kratky, T. Rebok, and R. Huzlik, Numerical and experimental investigation of three-dimensional cavitating flow around the straight {NACA2412} hydrofoil, Ocean. Eng, vol.123, pp.357-382, 2016.

T. Simpson, J. Poplinski, N. P. Koch, and J. Allen, Metamodels for computer-based engineering design: survey and recommendations, Eng. Comput, vol.17, issue.2, pp.129-150, 2001.

D. Srinath and S. Mittal, Optimal aerodynamic design of airfoils in unsteady viscous flows, Comput. Meth. Appl. Mech. Eng, pp.1976-1991, 2010.

J. Suykens and J. Vandewalle, Least squares support vector machine classifiers, Neural Process. Lett, issue.3, pp.293-300, 1999.

B. Van-calster, J. Luts, J. A. Suykens, G. Condous, T. Bourne et al., Comparing Methods for Multi-class Probabilities in Medical Decision Making Using LS-SVMs and Kernel Logistic Regression, Artificial Neural Networks-ICANN 2007: 17th International Conference, pp.139-148, 2007.

J. Van-ingen, The eN method for transition prediction: historical review of work at TU Delft, 38th Fluid Dynamics Conference and Exhibit, pp.1-49, 2008.

V. Vapnik, The Nature of Statistical Learning Theory, pp.0-387, 1995.

W. Wang, H. Pottmann, and Y. Liu, Fitting B-spline curves to point clouds by curvature-based squared distance minimization, ACM Trans. Graph, vol.25, issue.2, pp.214-238, 2006.

W. , Q. Xun, C. , H. Zhang, and R. , Numerical research on the performances of slot hydrofoil, J. Hydrodyn. Ser. B, vol.27, issue.1, pp.105-111, 2015.

M. Sacher, Ocean Engineering, vol.157, pp.62-72, 2018.

. .. Motivations, 188 10.2 Publication soumise dans «, Computer Methods in Applied Mechanics and Engineering, vol.10

. .. Conclusion,

, Le Chapitre 10 contient des applications d'optimisation par méta-modèles multi-fidélité. Il permet d'illustrer l'utilisation de la méthode EGO formulée en multi-fidélité et

, Une publication récemment soumise concerne ensuite la Section 10.2. Dans cette publication, la méthode EGO multi-fidélité est validée sur différents problèmes analytiques. Une application originale d'optimisation par méta-modèles multi-fidélité des réglages d'un gréement de voilier, simulé en IFS, fait également partie de cette publication. Deux réglages sont optimisés avec l'utilisation de cinq niveaux de fidélité construits sur les modèles fluide et structures de différentes précisions, L'accent est mis sur l'optimisation des réglages d'un gréement de voilier, qui constitue en soi l'un des objectifs de cette thèse

D. R. Jones, M. Schonlau, and W. J. Welch, Efficient Global Optimization of Expensive Black-Box Functions, Journal of Global optimization, vol.13, issue.4, pp.455-492, 1998.

S. Jeong, M. Murayama, and K. Yamamoto, Efficient Optimization Design Method Using Kriging Model, Journal of aircraft, vol.42, issue.2, pp.413-420, 2005.
DOI : 10.2514/6.2004-118

B. Glaz, P. P. Friedmann, and L. Liu, Helicopter Vibration Reduction throughout the Entire Flight Envelope Using Surrogate-Based Optimization, Journal of the American Helicopter Society, vol.54, issue.1, p.12007, 2009.
DOI : 10.4050/jahs.54.012007

N. Aghajari and M. Schäfer, Efficient shape optimization for fluid-structure interaction problems, Journal of Fluids and Structures, vol.57, pp.298-313, 2015.
DOI : 10.1016/j.jfluidstructs.2015.06.011

M. Sacher, F. Hauville, R. Duvigneau, O. L. Maître, N. Aubin et al., Efficient optimization procedure in non-linear fluid-structure interaction problem: Application to mainsail trimming in upwind conditions, Journal of Fluids and Structures, vol.69, pp.209-231, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01589317

T. Simpson, J. Poplinski, N. P. Koch, and J. Allen, Metamodels for Computer-based Engineering Design: Survey and recommendations, Engineering with Computers, vol.17, pp.129-150, 2001.
DOI : 10.1007/pl00007198

URL : http://hdl.handle.net/2060/19990087092

J. P. Kleijnen, Kriging metamodeling in simulation: A review, European Journal of Operational Research, vol.192, issue.3, pp.707-716, 2009.
DOI : 10.1016/j.ejor.2007.10.013

URL : https://pure.uvt.nl/ws/files/818397/dp2007-13.pdf

M. C. Kennedy and A. O'hagan, Predicting the Output from a Complex Computer Code When Fast Approximations Are Available, Biometrika, vol.87, issue.1, pp.1-13, 2000.
DOI : 10.1093/biomet/87.1.1

A. I. Forrester, A. Sóbester, and A. J. Keane, Multi-fidelity optimization via surrogate modelling, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.463, pp.3251-3269, 2007.
DOI : 10.1098/rspa.2007.1900

K. Elsayed, Optimization of the cyclone separator geometry for minimum pressure drop using Co-Kriging, Powder Technology, vol.269, pp.409-424, 2015.

V. Picheny, T. Wagner, and D. Ginsbourger, A benchmark of kriging-based infill criteria for noisy optimization, Structural and Multidisciplinary Optimization, vol.48, pp.607-626, 2013.

L. L. Gratiet and C. Cannamela, Kriging-based sequential design strategies using fast cross-validation techniques with extensions to multi-fidelity computer codes, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00744432

M. Plutowski, S. Sakata, H. ;. White, C. K. Rasmussen, ;. Williams et al., Advances in neural information processing systems, pp.75-102, 1994.

T. T. Huang, W. I. Allen, N. Notz, and . Zheng, Global Optimization of Stochastic Black-Box Systems via Sequential Kriging Meta-Models, Journal of global optimization, vol.34, issue.3, pp.441-466, 2006.
DOI : 10.1007/s10898-005-2454-3

L. Gratiet and J. Garnier, Recursive co-kriging model for Design of Computer experiments with multiple levels of fidelity, International Journal for Uncertainty Quantification, vol.4, issue.5, pp.365-386, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01108813

N. Rousselon, Optimization for Sail Design, modeFRONTIER Conference, 2008.

G. Chapin, R. Neyhousser, G. Dulliand, and P. Chassaing, Design optimization of interacting sails through viscous CFD, in: INNOVSail, Innovation in high performance sailing Yacht, 2008.

R. Ranzenbach, D. Armitage, and A. Carrau, Mainsail Planform Optimization for IRC 52 Using Fluid Structure Interaction, The 21st Chesapeake Sailing Yacht Symposium, SNAME, 2013.

. Augier, Etudes expérimentales de l'interaction fluide-structure sur surface souple: application aux voiles de bateaux, 2012.

A. Katz and . Plotkin, Low-Speed Aerodynamics, 2001.

M. Durand, Interaction fluide-structure souple et légère, application aux voiliers, 2012.

K. Nakashino and M. C. Natori, Efficient modification scheme of stress-strain tensor for wrinkled membranes, AIAA journal, vol.43, issue.1, pp.206-215, 2005.

Y. Roux, M. Durand, A. Leroyer, P. Queutey, M. Visonneau et al., Strongly coupled VPP and CFD RANSE code for sailing yacht performance prediction, 3rd High Performance Yacht Design Conference, 2008.
URL : https://hal.archives-ouvertes.fr/hal-01156261

F. R. Menter, M. Kuntz, and R. Langtry, Ten Years of Industrial Experience with the SST Turbulence Model, Turbulence, heat and mass transfer, vol.4, pp.625-632, 2003.

M. Durand, A. Leroyer, C. Lothodé, F. Hauville, M. Visonneau et al., FSI investigation on stability of downwind sails with an automatic dynamic trimming, Ocean Engineering, vol.90, pp.129-139, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01158837

, dans les programmes de prédiction de vitesse, clôt cette Partie I

, La Partie II présente les méthodes d'optimisation, reposant sur l'utilisation de méta-modèles, développées et appliquées au cours de cette thèse. L'emploi de méta-modèles construits à partir de processus Gaussiens est détaillé dans le Chapitre 4, en particulier pour les étapes de construction des méta-modèles, mais également pour ce qui est de leurs applications en terme d'analyse de sensibilité

, La méthode itérative d'optimisation par méta-modèles Gaussiens, amplement utilisée dans cette thèse

, Le problème des points non évaluables, qui peuvent apparaître lors de la résolution d'un problème d'optimisation sur une application réelle, est tout d'abord introduit dans ce Chapitre 5. La prise en compte de contraintes d'inégalité approchées par des méta-modèles Gaussiens est ensuite décrite. Enfin, l'introduction d'un modèle de classification binaire, Le Chapitre 5 porte sur la thématique de l'optimisation globale et sous contraintes, effectuée à partir de méta-modèles

, Les méthodes de constructions de ces méta-modèles sont présentées et une nouvelle formulation de l'optimisation par méta-modèles multi-fidélité est proposée. Cette méthode permet d'introduire le choix du niveau de fidélité utilisé dans le processus d'optimisation itératif, à partir d'une estimation de la réduction d'incertitude dans les zones d'intérêts du méta-modèle de plus haute fidélité. Elle permet de plus l'utilisation de méta-modèles multi

. Sacher, Elle concerne l'optimisation de la performance d'un modèle réduit de grand-voile d'Imoca pour laquelle deux réglages sont optimisés, afin de maximiser une fonction performance mesurée expérimentalement, dans la soufflerie de l'université d'Auckland. Cette application permet de montrer la nécessité d'insérer le bruit expérimental dans la construction des méta-modèles Gaussiens, pour mener à bien l'optimisation. Cette même optimisation est résolue numériquement. Elle met en oeuvre un modèle couplé fluide-structure pour le calcul de la même fonction performance. Des comparaisons expérimentales et numériques sont effectuées, afin de valider les calculs d'interaction fluide-structure. Une analyse de sensibilité est aussi menée sur le modèle numérique, dans le but de quantifier les variations de la performance provenant des incertitudes expérimentales, autour du réglage optimal, La dernière Partie III regroupe les différentes contributions de cette thèse. Les contributions sont présentées sous la forme d'articles publiés ou soumis dans des revues scientifiques. Le Chapitre 7 reprend une application originale de la méthode d'optimisation par méta-modèles Gaussiens, 2017.

. Sacher, Dans le Chapitre 8, la méthode de classification introduite dans le processus d'optimisation par métamodèles Gaussiens est validée sur des applications comprenant des points non évaluables, 2018.

P. Augier, F. Bot, M. Hauville, and . Durand, Les applications correspondent principalement à des problèmes d'optimisation analytiques présentant des propriétés et niveaux de difficultés variés. L'efficacité de la méthode est comparée à une méthode d'optimisation B, Ocean Engineering, vol.66, pp.32-43, 2013.

F. Aurenhammer, Voronoi diagrams-a survey of a fundamental geometric data structure, ACM Computing Surveys (CSUR), vol.23, issue.3, p.147, 1991.

N. Ayat, M. Cheriet, and C. Suen, Automatic model selection for the optimization of SVM kernels, Pattern Recognition, vol.38, issue.10, pp.1733-1745, 2005.

S. Barnett, Matrix methods for engineers and scientists, p.61, 1979.

A. Basudhar, C. Dribusch, S. Lacaze, and S. Missoum, Constrained efficient global optimization with support vector machines. Structural and Multidisciplinary Optimization, vol.46, p.81, 2012.

G. Baudat and F. Anouar, Feature vector selection and projection using kernels, Neurocomputing, vol.55, issue.1-2, pp.21-38, 2003.
DOI : 10.1016/s0925-2312(03)00429-6

URL : http://www.kernel-machines.org/papers/upload_27212_FVSNeucom.pdf

L. Bonfiglio, P. Perdikaris, S. Brizzolara, and G. Karniadakis, Multi-fidelity optimization of super-cavitating hydrofoils, Computer Methods in Applied Mechanics and Engineering, vol.332, p.19, 2018.
DOI : 10.1016/j.cma.2017.12.009

N. Bose, Hydrofoils : design of a wind propelled flying trimaran, 1982.

P. Bot, I. M. Viola, R. G. Flay, and J. Brett, Wind-tunnel pressure measurements on model-scale rigid downwind sails, Ocean Engineering, vol.90, pp.84-92, 2014.
DOI : 10.1016/j.oceaneng.2014.07.024

URL : https://hal.archives-ouvertes.fr/hal-01071046

D. Büche, N. N. Schraudolph, and P. Koumoutsakos, Accelerating evolutionary algorithms with gaussian process fitness function models, IEEE Tran. on Systems, Man, and Cybernetics-Part C : Applications and Reviews, vol.35, issue.2, pp.183-194, 2005.

G. C. Cawley, Leave-one-out cross-validation based model selection criteria for weighted LS-SVMs, The 2006 IEEE International Joint Conference on Neural Network Proceedings, pp.94-95, 2006.
DOI : 10.1109/ijcnn.2006.1716307

G. C. Cawley and N. L. Talbot, Efficient leave-one-out cross-validation of kernel fisher discriminant classifiers, Pattern Recognition, vol.36, issue.11, pp.95-96, 2003.
DOI : 10.1016/s0031-3203(03)00136-5

URL : http://theoval.sys.uea.ac.uk/~gcc/publications/ps/pr2003.ps

G. C. Cawley and N. L. Talbot, Fast exact leave-one-out cross-validation of sparse least-squares support vector machines, Neural Networks, vol.17, issue.10, pp.1467-1475, 2004.
DOI : 10.1016/j.neunet.2004.07.002

URL : http://theoval.sys.uea.ac.uk/~gcc/publications/pdf/nn2004a.pdf

G. C. Cawley and N. L. Talbot, Preventing over-fitting during model selection via bayesian regularisation of the hyper-parameters, Journal of Machine Learning Research, vol.8, p.96, 2007.

R. Hooke and T. A. Jeeves, Direct Search" Solution of Numerical and Statistical Problems, Journal of the ACM (JACM), vol.8, issue.2, pp.212-229, 1961.
DOI : 10.1145/321062.321069

D. Huang, T. T. Allen, W. I. Notz, and N. Zeng, Global Optimization of Stochastic Black-Box Systems via Sequential Kriging Meta-Models, Journal of global optimization, vol.34, issue.3, pp.77-111, 2006.
DOI : 10.1007/s10898-005-2454-3

K. Huang, D. Zheng, J. Sun, Y. Hotta, K. Fujimoto et al., Meta-heuristic Intelligence Based Image Processing, Pattern Recognition Letters, vol.31, issue.13, pp.1944-1951, 2010.

A. Jameson, Aerodynamic Design via Control Theory, Journal of Scientific Computing, vol.3, pp.233-260, 1988.
DOI : 10.1007/978-3-642-83733-3_14

URL : http://aero-comlab.stanford.edu/Papers/jameson_jsc_1988.pdf

A. Janon, T. Klein, A. Lagnoux, M. Nodet, and C. Prieur, Asymptotic normality and efficiency of two sobol index estimators, ESAIM : Probability and Statistics, vol.18, pp.342-364, 2014.
DOI : 10.1051/ps/2013040

URL : https://hal.archives-ouvertes.fr/hal-00665048

L. Jiao, L. Bo, and L. Wang, Fast Sparse Approximation for Least Squares Support Vector Machine, IEEE Transactions on Neural Networks, vol.18, issue.3, pp.685-697, 2007.

M. Johnson, L. Moore, and D. Ylvisaker, Minimax and maximin distance designs, Journal of Statistical Planning and Inference, vol.26, issue.2, p.67, 1990.
DOI : 10.1016/0378-3758(90)90122-b

D. R. Jones, A taxonomy of global optimization methods based on response surfaces, Journal of global optimization, vol.21, issue.4, p.76, 2001.

D. R. Jones, M. Schonlau, and W. J. Welch, Efficient Global Optimization of Expensive Black-Box Functions, Journal of Global Optimization, vol.13, issue.4, pp.76-77, 1998.

W. Jones and B. Launder, The prediction of laminarization with a two-equation model of turbulence. International journal of heat and mass transfer, vol.15, pp.301-314, 1972.

A. Keane and P. Nair, Computational Approaches for Aerospace Design : The Pursuit of Excellence, 2005.

J. M. Keller, M. R. Gray, and J. A. Givens, A fuzzy k-nearest neighbor algorithm, IEEE transactions on systems, man, and cybernetics, vol.15, p.147, 1985.

J. Kennedy and R. Eberhart, Particle swarm optimization, Neural Networks, vol.4, pp.1942-1948, 1995.

M. C. Kennedy and A. O'hagan, Predicting the Output from a Complex Computer Code When Fast Approximations Are Available, Biometrika, vol.87, issue.1, p.105, 2000.

H. Kerhascoet, De la mesure du vent au pilotage automatique d'un voilier : modélisation, optimisation & application du traitement du signal prédictif, pp.14-41, 2017.

J. Mercer, Functions of Positive and Negative Type, and their Connection with the Theory of Integral Equations, Philosophical Transactions of the Royal Society of London A : Mathematical, Physical and Engineering Sciences, vol.209, pp.415-446, 1909.

Z. Michalewicz and M. Schoenauer, Evolutionary algorithms for constrained parameter optimization problems, Evolutionary computation, vol.4, issue.1, pp.49-51, 1996.

T. P. Minka, A family of algorithms for approximate Bayesian inference, pp.73-113, 2001.

D. Motta, R. Flay, P. Richards, D. Le-pelley, J. Deparday et al., Experimental investigation of asymmetric spinnaker aerodynamics using pressure and sail shape measurements, Ocean Engineering, vol.90, pp.104-118, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01071557

M. M. Munk, The aerodynamic forces on airship hulls, NASA, 1924.

J. A. Nelder and R. Mead, A simplex method for function minimization, The computer journal, vol.7, issue.4, p.17, 1965.

J. E. Oakley and A. O'hagan, Probabilistic sensitivity analysis of complex models : a bayesian approach, Journal of the Royal Statistical Society : Series B (Statistical Methodology), vol.66, issue.3, pp.751-769, 2004.

J. Park, Optimal latin-hypercube designs for computer experiments, Journal of Statistical Planning and Inference, vol.39, issue.1, p.67, 1994.

S. V. Patankar and D. B. Spalding, A calculation procedure for heat, mass and momentum transfer in threedimensional parabolic flows, Numerical Prediction of Flow, Heat Transfer, Turbulence and Combustion, pp.54-73, 1983.

D. Paulet and D. Presles, Architecture navale : connaissance et pratique. Savoir-faire de l'architecture. Editions de La Villette, 1998.

S. Peron, Méthode d'assemblage de maillages recouvrants autour de géométries complexes pour des simulations en aérodynamique compressible, p.217, 2014.

A. Persson, L. Larsson, M. Brown, and C. Finnsgard, Performance evaluation and ranking of 7 rudders for the finn dinghy, INNOVSAIL International Conference on Innovation in High Performance Sailing Yachts, pp.59-68, 2017.

A. Philpott and A. Mason, Advances in optimization in yacht performance analysis, The 1st High Performance Yacht Design Conference, p.17, 2002.

V. Picheny, T. Wagner, and D. Ginsbourger, A benchmark of kriging-based infill criteria for noisy optimization. Structural and Multidisciplinary Optimization, vol.48, p.75, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00658212

M. Sacher, F. Hauville, P. Bot, and M. Durand, Sail trimming FSI simulation-comparison of viscous and inviscid flow models to optimise upwind sails trim, Proceedings of 5th High Performance Yacht Design Conference, vol.188, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02143234

M. Sacher, F. Hauville, R. Duvigneau, O. Le-maître, N. Aubin et al., Experimental and numerical optimizations of an upwind mainsail trimming, THE 22nd CHESAPEAKE SAILING YACHT SYMPOSIUM, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01387783

M. Sacher, M. Durand, E. Berrini, F. Hauville, R. Duvigneau et al., Flexible hydrofoil optimization for the 35th America's cup with constrained EGO Method, INNOVSAIL International Conference on Innovation in High Performance Sailing Yachts, pp.193-206, 2017.

M. Sacher, R. Duvigneau, O. Le-maître, M. Durand, E. Berrini et al., Surrogates and Classification Approaches for Efficient Global Optimization (EGO) with Inequality Constraints, SIAM Optimization, p.148, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01589262

M. Sacher, F. Hauville, R. Duvigneau, O. Le-maître, N. Aubin et al., Efficient optimization procedure in non-linear fluid-structure interaction problem : Application to mainsail trimming in upwind conditions, Journal of Fluids and Structures, vol.69, issue.3, pp.209-231, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01589317

M. Sacher, M. Durand, É. Berrini, F. Hauville, R. Duvigneau et al., Flexible hydrofoil optimization for the 35th America's Cup with constrained EGO method, Ocean Engineering, vol.157, issue.4, pp.62-72, 2018.

M. Sacher, R. Duvigneau, O. Le-maître, M. Durand, É. Berrini et al., A classification approach to efficient global optimization in presence of non-computable domains. Structural and Multidisciplinary Optimization, vol.148, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02143354

M. Sasena, P. Papalambros, and P. Goovaerts, Global optimization of problems with disconnected feasible regions via surrogate modeling, 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, 2002.

M. J. Sasena, P. Papalambros, and P. Goovaerts, Exploration of metamodeling sampling criteria for constrained global optimization. Engineering optimization, vol.34, pp.263-278, 2002.

M. Schonlau, Computer Experiments and Global Optimization, vol.81, p.76, 1997.

M. Seeger, C. K. Williams, and N. D. Lawrence, Fast Forward Selection to Speed Up Sparse Gaussian Process Regression, WORKSHOP ON AI AND STATISTICS, vol.9, 2003.

Z. Shen, D. Wan, and P. M. Carrica, Dynamic overset grids in OpenFOAM with application to KCS selfpropulsion and maneuvering, vol.108, p.217, 2015.

M. Shur, P. Spalart, M. Strelets, and A. Travin, Detached-eddy simulation of an airfoil at high angle of attack, Engineering Turbulence Modelling and Experiments, vol.4, p.669

A. J. Smola and P. L. Bartlett, Sparse greedy Gaussian process regression, Advances in neural information processing systems, pp.619-625, 2001.

A. Sóbester, S. J. Leary, and A. J. Keane, On the Design of Optimization Strategies Based on Global Response Surface Approximation Models, Journal of Global Optimization, vol.33, issue.1, p.77, 2005.

I. Sobol, Global sensitivity indices for nonlinear mathematical models and their monte carlo estimates. Mathematics and Computers in Simulation, The Second IMACS Seminar on Monte Carlo Methods, vol.55, p.68, 2001.

I. M. Sobol, Sensitivity estimates for nonlinear mathematical models, Mathematical modelling and computational experiments, vol.1, pp.407-414, 1993.

J. L. Steger and J. A. Benek, On the use of composite grid schemes in computational aerodynamics, Computer Methods in Applied Mechanics and Engineering, vol.64, issue.1-3, p.217, 1987.

M. L. Stein, Interpolation of Spatial Data-Some Theory for Kriging, 2012.

M. Stone, Cross-validatory choice and assessment of statistical predictions, Journal of the Royal Statistical Society. Series B (Methodological), vol.36, issue.2, pp.111-147, 1974.

J. Suykens and J. Vandewalle, Least Squares Support Vector Machine Classifiers, Neural Processing Letters, vol.9, issue.3, p.71, 1999.

J. Suykens, J. D. Brabanter, L. Lukas, and J. Vandewalle, Weighted least squares support vector machines : robustness and sparse approximation, Neurocomputing, vol.48, issue.1-4, pp.85-105, 2002.

J. A. Suykens, L. Lukas, and J. Vandewalle, Sparse approximation using least squares support vector machines, Circuits and Systems, 2000. Proceedings. ISCAS, vol.2, pp.757-760, 2000.

F. Tagliaferri, A. Philpott, I. Viola, and R. Flay, Innovation in High Performance Sailing Yachts-INNOVSAIL, On risk attitude and optimal yacht racing tactics. Ocean Engineering, vol.90, p.17, 2014.

V. Torczon, On the convergence of the multidirectional search algorithm, SIAM journal on Optimization, vol.1, issue.1, pp.123-145, 1991.

O. Sugar-gabor, A. Koreanschi, and R. M. Botez, A new non-linear vortex lattice method : Applications to wing aerodynamic optimizations, Chinese Journal of Aeronautics, vol.29, issue.5, pp.1178-1195, 2016.

J. Wackers, G. Deng, A. Leroyer, P. Queutey, and M. Visonneau, Adaptive grid refinement for hydrodynamic flows, Computers & Fluids, vol.55, pp.85-100, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01145153

D. C. Wilcox, Reassessment of the scale-determining equation for advanced turbulence models, AIAA journal, vol.26, issue.11, p.33, 1988.

C. K. Williams and D. Barber, Bayesian classification with Gaussian processes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.20, issue.12, p.73, 1998.

P. Wolfe, Convergence conditions for ascent methods, SIAM review, vol.11, issue.2, pp.226-235, 1969.

H. Xu, C. Qiao, H. Yang, and Z. Ye, Delayed detached eddy simulation of the wind turbine airfoil S809 for angles of attack up to 90 degrees, Energy, vol.118, pp.1090-1109, 2017.

Z. Yan, Y. Yang, and Y. Ding, An experimental study of the hyper-parameters distribution region and its optimization method for support vector machine with gaussian kernel, International Journal of Signal Processing, vol.6, issue.5, p.96, 2013.

J. Zhu and T. Hastie, Kernel logistic regression and the import vector machine, Journal of Computational and Graphical Statistics, vol.14, issue.1, pp.185-205, 2012.