, canal width (respectively labeled 'CWn8' and 'CWn8Binf'), and the CWn2 hull at 0.45 m/s

, Transports combinés rail-route, fleuve-route et mer-route : tableau de bord national, 2006.

A. C. Aitken, Iv.on least squares and linear combination of observations, Proceedings of the Royal Society of Edinburgh, vol.55, pp.42-48, 1936.

K. Amouzgar and N. Strömberg, Radial basis functions with a priori bias in comparisonwith a posteriori bias under multiple modeling criteria. Structural and multidisciplinary optimization (Print), 2015.

. Ansys, Ansys Fluent 13.0 theory guide, 2010.

. Ansys, Ansys fluent 13.0 users guide, 2010.

L. Artjuskov, Wall effect correction for shallow water model tests, 1968.

A. Nationale, Rapport de l'assemblé nationale no. 3942 du 15 novembre 2011 relatif à voies navigables de france, 2011.

D. Basak, S. Pal, and D. C. Patranabis, Support vector regression, Neural Information Processing-Letters and Reviews, vol.11, issue.10, pp.203-224, 2007.

C. G. Boender, A. Rinnooy-kan, G. Timmer, and L. Stougie, A stochastic method for global optimization, Mathematical programming, vol.22, issue.1, pp.125-140, 1982.

A. Bons, K. Molenmaker, W. Van, and M. , Economyplanner; optimal use of inland waterways, European Inland Waterway Navigation Conference, pp.10-12, 2014.

J. Boussinesq, G. E. Box, and N. R. Draper, Essai sur la théorie des eaux courantes. Imprimerie nationale, vol.424, 1877.

P. Bradshaw, Turbulent secondary flows. Annual review of fluid mechanics, vol.19, pp.53-74, 1987.

M. J. Briggs, M. Vantorre, K. Uliczka, D. , and P. , Prediction of squat for underkeel clearance, 2009.

C. Caplier, F. Linde, A. Bernard, A. Calluaud, L. David et al., Comparaison entre expérience et calcul des ondes générées par un bateau en eaux peu profondes, 2015.

I. B. Celik, U. Ghia, and P. J. Roache, Procedure for estimation and reporting of uncertainty due to discretization in cfd applications, Journal of fluids Engineering-Transactions of the ASME, vol.130, issue.7, 2008.

L. Chatellier, S. Jarny, F. Gibouin, D. , and L. , Stereoscopic measurement of free surface flows, EPJ Web of Conferences, vol.6, p.12002, 2010.

I. T. Conference, Testing and data analysis resistance test. ITTC Recommended Procedures and Guidelines, 2008.

T. Constantine, On the movement of ships in restricted waterways, Journal of Fluid Mechanics, vol.9, issue.02, pp.247-256, 1960.

R. Cosner, B. Oberkampf, C. Rumsey, C. Rahaim, and T. Shih, AIAA Committee On Standards For Computational Fluid Dynamics: Status and Plans, 44th AIAA Aerospace Sciences Meeting and Exhibit, Aerospace Sciences Meetings, 2006.

I. Dand and A. Ferguson, The squat of full ships in shallow water, 1973.

S. Das, S. K. Das, and J. Kariya, Simulation of return flow in restricted navigation channel for barge-tow movements, Open Ocean Engineering Journal, vol.5, pp.34-46, 2012.

P. Debaillon, Numerical investigation to predict ship squat, Journal of Ship Research, vol.54, issue.2, pp.133-140, 2010.

H. Drucker, C. J. Burges, L. Kaufman, A. Smola, and V. Vapnik, Support vector regression machines, Advances in neural information processing systems, vol.9, pp.155-161, 1997.

. Eurostat, Inland waterways freight transport-quarterly and annual data, 2015.

, Economical and ecological comparison of transport modes: road, railways, inland waterways, 2007.

E. Foeth, Decreasing frictional resistance by air lubrication, 20th International HISWA Symposium on Yacht Design and Yacht Construction, 2008.

A. I. Forrester and A. J. Keane, Recent advances in surrogate-based optimization, Progress in Aerospace Sciences, vol.45, issue.1, pp.50-79, 2009.

S. Geerts, B. Verwerft, M. Vantorre, and F. Van-rompuy, Improving the efficiency of small inland vessels, Proc., 7th European Inland Waterway Navigation Conference, 2010.

A. Georgakaki and S. Sorenson, Report on collected data and resulting methodology for inland shipping, 2004.

G. Gomit, G. Rousseaux, L. Chatellier, D. Calluaud, D. et al., Spectral analysis of ship waves in deep water from accurate measurements of the free surface elevation by optical methods, Physics of Fluids, vol.26, issue.12, p.122101, 2014.

T. Gourlay, Slender-body methods for predicting ship squat, Ocean Engineering, vol.35, issue.2, pp.191-200, 2008.

E. Gryazina and B. Polyak, Random sampling: Billiard walk algorithm, European Journal of Operational Research, vol.238, issue.2, pp.497-504, 2014.

R. Haftka, J. R. Starnes, and J. , Applications of a quadratic extended interior penalty function for structural optimization, 16th Structural Dynamics, and Materials Conference, p.764, 1975.

R. T. Haftka and Z. Gürdal, Elements of structural optimization, vol.11, 2012.

R. L. Hardy, Multiquadric equations of topography and other irregular surfaces, Journal of geophysical research, vol.76, issue.8, pp.1905-1915, 1971.

A. Härting, A. Laupichler, R. , and J. , Considerations on the squat of unevenly trimmed ships. Ocean Engineering, vol.36, pp.193-201, 2009.

J. Hervouet, Hydrodynamics of free surface flows: modelling with the finite element method, 2007.

S. Hidouche, M. Guitteyn, F. Linde, and P. Sergent, Ships propulsion : estimation of specific fuel consumption based on power load factor ratio, Proc., Hydrodynamics and simulation applied to inland waterways and port approaches, 2015.

C. W. Hirt and B. D. Nichols, Volume of fluid (vof) method for the dynamics of free boundaries, Journal of computational physics, vol.39, issue.1, pp.201-225, 1981.

J. Holtrop, A statistical re-analysis of resistance and propulsion data. International Shipbuilding Progress, vol.31, pp.272-276, 1984.

J. Holtrop, A statistical resistance prediction method with a speed dependent form factor, SMSSH88, 1988.

J. Holtrop and G. Mennen, An approximate power prediction method. International Shipbuilding Progress, p.29, 1982.

N. Huybrechts, F. Linde, and P. Sergent, Construction de modèles hydrodynamiques 2d de la seine entre chatou et poses, Cerema Eau, 2015.

. Ittc, Report of performance committee, Proc., 15th International Towing Tank Conference, pp.128-183, 1978.

. Ittc, Report of the resistance and flow committee, Proc., 18th International Towing Tank Conference, pp.47-95, 1987.

. Ittc, Practical guidelines for ship cfd applications, Proc., 26th International Towing Tank Conference. International Towing Tank Conference, 2011.

P. Jansen and J. Schijf, The relation between the form of cross section the cross section, the method of revetment and the distribution of the water velocities in a waterway, Proc., 18th International Navigation Congress, pp.175-197, 1953.

T. Jastrzebski, Z. Sekulski, M. Taczala, T. Graczyk, W. Banasiak et al., A concept of the inland waterway barge base on the i-corer steel panel, European Inland Waterway Navigation Conf, 2003.

S. C. Ji, A. Ouahsine, H. Smaoui, and P. Sergent, 3-d numerical simulation of convoy-generated waves in a restricted waterway, Journal of Hydrodynamics, Ser. B, vol.24, issue.3, pp.420-429, 2012.

E. Jones, T. Oliphant, and P. Peterson, SciPy: Open source scientific tools for Python, 2001.

M. Jovanovi´cjovanovi´c, Otpor broda u plovnom kanalu, 2004.

. Vodoprivreda, , pp.283-288

A. Karpov, Calculation of ship resistance in restricted waters, TRUDY GII. T. IV, vol.2, 1946.

E. Keogh, K. Chakrabarti, M. Pazzani, and S. Mehrotra, Dimensionality reduction for fast similarity search in large time series databases, Knowledge and information Systems, vol.3, issue.3, pp.263-286, 2001.

S. Koziel and L. Leifsson, Surrogate-Based Modeling and Optimization: Applications in Engineering, 2013.

J. Kreitner, Uber den schiffswiderstand auf beschranktem wasser, Werft Reederei Hafen, vol.15, pp.77-82, 1934.

D. Krige, A statistical approach to some mine valuation and allied problems on the witwatersrand, 1951.

P. Lancaster and K. Salkauskas, Surfaces generated by moving least squares methods, Mathematics of computation, vol.37, issue.155, pp.141-158, 1981.
DOI : 10.2307/2007507

URL : https://www.ams.org/mcom/1981-37-155/S0025-5718-1981-0616367-1/S0025-5718-1981-0616367-1.pdf

L. Landweber, Tests of a model in restricted channels, 1939.

L. Larsson and H. Raven, Ship resistance and flow. Society of Naval Architects and Marine Engineers, 2010.

L. Larsson, F. Stern, and M. Visonneau, Cfd in ship hydrodynamicsresults of the Gothenburg 2010 workshop, Proc., MARINE 2011, 4th International Conference on Computational Methods in Marine Engineering, pp.237-259, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01155484

E. Lataire, M. Vantorre, D. , and G. , A prediction method for squat in restricted and unrestricted rectangular fairways, Ocean Engineering, vol.55, pp.71-80, 2012.

B. E. Launder and D. Spalding, The numerical computation of turbulent flows, Computer methods in applied mechanics and engineering, vol.3, issue.2, pp.269-289, 1974.

D. Levin, The approximation power of moving least-squares. Mathematics of Computation of the, vol.67, pp.1517-1531, 1998.

F. Linde, A. Ouahsine, N. Huybrechts, and P. Sergent, Effet de la profondeur limitée sur la résistance à l'avancement et l'enfoncement dynamique d'une barge fluviale, Proc., 14èmes Journées de l'Hydrodynamique. École Centrale de Nantes, 2014.

F. Linde, A. Ouahsine, N. Huybrechts, and P. Sergent, 3d numerical simulation of ship resistance in restricted waterways including ship squat effects, Proc., 22ème congrès français de Mécanique. AFM, Association Française de Mécanique, 2015.

F. Linde, A. Ouahsine, N. Huybrechts, and P. Sergent, Numerical prediction of ship resistance and squat in confined waters, Proc., 6th International Conference on Coupled Problems in Science and Engineering, 2015.

F. Linde, A. Ouahsine, N. Huybrechts, and P. Sergent, Ship resistance calculations in restricted waterways taking ship squat into account, Proc., 2nd International Conference on Multi-scale Computational Methods for Solids and Fluids, 2015.

F. Linde, A. Ouahsine, N. Huybrechts, and P. Sergent, Ship resistance calculations in restricted waterways taking ship squat into account, Proc., Hydrodynamics and simulation applied to inland waterways and port approaches. Société Hydrotechnique de France (SHF), 2015.

F. Linde, A. Ouahsine, N. Huybrechts, and P. Sergent, Three-dimensional numerical simulation of ship resistance in restricted waterways: Effect of ship sinkage and channel restriction, Journal of Waterway, Port, Coastal, and Ocean Engineering, vol.143, issue.1, p.6016003, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02006735

S. N. Lophaven, H. B. Nielsen, and J. Søndergaard, Dace-a matlab kriging toolbox, version 2.0, 2002.

G. Luthra and K. Tang, Improvement of inland waterway vessel and barge tow performance: Translations of selected chinese, german and russian technical articles, 1982.

, Basic principles of ship propulsion, MAN, 2011.

G. Matheron, Principles of geostatistics, Economic geology, vol.58, issue.8, pp.1246-1266, 1963.

J. S. Mcnown, Sinkage and resistance for ships in channels, Journal of the Waterways Harbors and Coastal Engineering Division, vol.102, issue.3, pp.287-300, 1976.

A. Millward, The effect of water depth on hull form factor, vol.36, pp.283-302, 1989.

O. E. Moctar, V. Shigunov, and T. Zorn, Duisburg test case: Post-panamax container ship for benchmarking, Ship Technology Research, vol.59, issue.3, pp.50-64, 2012.
DOI : 10.1179/str.2012.59.3.004

A. F. Molland, S. R. Turnock, H. , and D. A. , Ship resistance and propulsion: practical estimation of propulsive power, 2011.

, Deliverable 1.1 state of the art, MoVe IT! FP7 European project, 2012.

P. Mucha, O. El-moctar, and C. Böttner, Technical note: Presquatworkshop on numerical prediction of ship squat in restricted waters, Ship Technology Research, vol.61, issue.3, pp.162-165, 2014.

S. Muzaferija, A two fluid navier-stokes solver to simulate water entry, 21st Symposium on Naval Hydrodynamics, 1988.

J. Nocedal and S. J. Wright, Sequential quadratic programming, 2006.

P. Noury, B. Hayman, D. Mcgeorge, and J. Weitzenbock, Lightweight construction for advanced shipbuilding-recent development, 2002.

S. Osher and J. A. Sethian, Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations, Journal of computational physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

URL : http://dml.cz/bitstream/handle/10338.dmlcz/144762/ActaOlom_54-2015-2_3.pdf

S. V. Patankar and D. B. Spalding, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International journal of heat and mass transfer, vol.15, pp.1787-1806, 1972.

F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion et al., Scikit-learn: Machine learning in python, Journal of Machine Learning Research, vol.12, pp.2825-2830, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00650905

T. Pietrzykowski, An exact potential method for constrained maxima, SIAM Journal on numerical analysis, vol.6, issue.2, pp.299-304, 1969.

P. Pompée, About modelling inland vessels resistance and propulsion and interaction vessel-waterway key parameters driving restricted/shallow water effects, Proc., 7th International PIANC-SMART Rivers Conference. World Association for Waterborne Transport Infrastructure (PIANC), 2015.

C. ;. Prohaska and C. A. Kontovas, Ship speed optimization: Concepts, models and combined speed-routing scenarios, Transportation Research Part C: Emerging Technologies, vol.44, pp.52-69, 1966.

N. V. Queipo, R. T. Haftka, W. Shyy, T. Goel, R. Vaidyanathan et al., Surrogate-based analysis and optimization. Progress in aerospace sciences, vol.41, pp.1-28, 2005.

D. Radoj?i´radoj?i´c, Environmentally friendly inland waterway ship design for the danube river. World Wide Fund for Nature International Danube-Carpathian Programme, 2009.

H. Raven, A computational study of shallow-water effects on ship viscous resistance, Proc., 29th Symposium on Naval Hydrodynamics, 2012.

C. Rhie and W. Chow, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA journal, vol.21, issue.11, pp.1525-1532, 1983.

A. H. Rinnooy-kan and G. Timmer, Stochastic global optimization methods part i: Clustering methods. Mathematical programming, vol.39, pp.27-56, 1987.

A. H. Rinnooy-kan and G. Timmer, Stochastic global optimization methods part ii: multi level methods, Mathematical Programming, vol.39, issue.1, pp.57-78, 1987.

P. J. Roache, Verification and validation in computational science and engineering, 1998.

J. Rohács and G. Simongati, The role of inland waterway navigation in a sustainable transport system, Transport, vol.22, issue.3, pp.148-153, 2007.

J. B. Rosen, The gradient projection method for nonlinear programming, Journal of the Society for Industrial and Applied Mathematics, vol.8, issue.1, pp.181-217, 1960.

E. Rotteveel, R. Hekkenberg, and J. Liu, Design guidelines and empirical evaluation tools for inland ships, Proc., 7th European Inland Waterway Navigation Conference, 2014.

J. Sacks, W. J. Welch, T. J. Mitchell, W. , and H. P. , Design and analysis of computer experiments, Statistical science, pp.409-423, 1989.

J. Schijf, Influence on the form and dimensions of the cross-section of the canal, of the form, of the speed and the propulsion system of vessels, World Association for Waterborne Transport Infrastructure (PIANC), pp.61-78, 1949.

O. Schlichting, Ship resistance in water of limited depth-resistance of seagoing vessels in shallow water, Jahrbuch der STG, vol.35, pp.127-148, 1934.

R. B. Schofield, Speed of ships in restricted navigation channels, Journal of the Waterways, Harbors and Coastal Engineering Division, vol.100, issue.2, pp.133-150, 1974.

M. Senthil-prakash and B. Chandra, Numerical estimation of shallow water resistance of a river-sea ship using cfd, International Journal of Computer Applications, vol.71, issue.5, pp.33-40, 2013.

T. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu, A new k-? eddy viscosity model for high reynolds number turbulent flows, Computers & Fluids, vol.24, issue.3, pp.227-238, 1995.

T. W. Simpson, V. Toropov, V. Balabanov, and F. A. Viana, Design and analysis of computer experiments in multidisciplinary design optimization: a review of how far we have come or not, 12th AIAA/ISSMO multidisciplinary analysis and optimization conference, vol.5, pp.10-12, 2008.

A. J. Smola and B. Schölkopf, A tutorial on support vector regression, Statistics and computing, vol.14, issue.3, pp.199-222, 2004.

R. Sorensen, Prediction of vessel-generated waves with reference to vessels common to the upper mississippi river system, 1997.

V. Stenzel, Y. Wilke, and W. Hage, Drag-reducing paints for the reduction of fuel consumption in aviation and shipping, Progress in Organic Coatings, vol.70, issue.4, pp.224-229, 2011.

F. Stern, J. Yang, Z. Wang, H. Sadat-hosseini, M. Mousaviraad et al., Computational ship hydrodynamics: nowadays and way forward, International Shipbuilding Progress, vol.60, issue.1, pp.3-105, 2013.

J. Sutherland, D. Walstra, T. Chesher, L. Van-rijn, and H. Southgate, Evaluation of coastal area modelling systems at an estuary mouth, Coastal Engineering, vol.51, issue.2, pp.119-142, 2004.

T. Tezdogan, A. Incecik, O. ;. Turan, M. Lapy, A. Constantinescu et al., A numerical investigation of the squat and resistance of ships advancing through a canal using cfd, 2013.

. Vnf, Etude sur le niveau de consommation de carburant des unités fluviales françaises, 2006.

D. C. Wilcox, Turbulence modeling for CFD, DCW industries, vol.2, 1998.

T. Xing and F. Stern, Factors of safety for richardson extrapolation, Journal of Fluids Engineering, vol.132, issue.6, p.61403, 2010.

V. Yakhot, S. Orszag, S. Thangam, T. Gatski, and C. Speziale, Development of turbulence models for shear flows by a double expansion technique, Physics of Fluids A: Fluid Dynamics, vol.4, issue.7, pp.1510-1520, 1989.

W. I. Zangwill, Non-linear programming via penalty functions. Management science, vol.13, pp.344-358, 1967.
DOI : 10.1287/mnsc.13.5.344

J. Zoelner, Vortriebstechnische? aentwicklungen? ain? ader? abinnenschiffart, IST? aSymposium,? aNew? aand? aFurther? aDevelopment,? aDuisburg, 2003.

G. Zoutendijk, Methods of feasible directions: a study in linear and non-linear programming, 1960.