References 
 Anderson, W.K. & Venkatakrishnan, V. (1999) Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation. Computers & Fluids 28(4–5), pp. 443–480, doi: 10.1016/S00457930(98)000413.
 Bai, K.J. & Han, J.H, (1994) A localized finite element method for the nonlinear steady waves due to a twodimensional hydrofoil. Journal of Ship Research 38 (01), pp. 42– 51, doi: 10.5957/jsr.1994.38.1.42.
 Biancolini, M.E. (2017) Fast Radial Basis Functions for Engineering Applications. Springer, Cham.
 Biancolini, M.E., Cella, U., Travostino, G. & Mancini, M. (2013) Shaping up – Mesh morphing reduces the time required to optimize an aircraft wing. ANSYS Advantage Magazine VII, 1.
 Blasi, P.D., Romano, G.P., Felice, F.D. & Lalli, F. (2000) Experimental study of breaking wave flow field past a submerged hydrofoil by LDV. International Journal of Offshore and Polar Engineering 10(4), pp. 263–269.
 Bonfiglio, L., Perdikarisa, P., Brizzolara, S. & Karniadakis, G.E. (2018) Multifidelity optimization of supercavitating hydrofoils. Computer Methods in Applied Mechanics and Engineering 332, pp. 63–85, doi: 10.1016/j. cma.2017.12.009
 Bourgoyne, D.A. (2003) Flow over a hydrofoil with trailing edge vortex shedding at high Reynolds number. Ph.D. Thesis, Mechanical Engineering, University of Michigan.
 Carcaterra, A., Dessi, D. & Mastroddi, F. (2005) Hydrofoil vibration induced by a random flow: A stochastic perturbation approach. Journal of Sound and Vibration 283 (1–2), pp. 401–432, doi: 10.1016/j.jsv.2004.04.040.
 Daskovsky, M. (2000) The hydrofoil in surface proximity, theory and experiment. Ocean Engineering 27 (10), pp. 1129–1159, doi: 10.1016/S00298018(99)000323.
 Ducoin, A., Astolfi, J.A., Deniset, F. & Sigrist, J.F. (2009) Computational and experimental investigation of flow over a transient pitching hydrofoil. European Journal of Mechanics – B/Fluids 28 (6), pp. 728–743, doi: 10.1016/j. euromechflu.2009.06.001.
 Duncan, J.H. (1983) The breaking and nonbreaking wave resistance of a twodimensional hydrofoil. Journal of Fluid Mechanics 126 (1), pp. 507–520, doi: 10.1017/ S0022112083000294.
 Filippov, S.I. (2001) Flow past a submerged hydrofoil. Fluid Dynamics 36(3), pp. 489–496, doi: 10.1023/A:1019200 521581.
 Garg, N., Kenway, G.K.W., Lyu, Z., Martins, J.R.R.A. & Young, Y.L. (2015) Highfidelity hydrodynamic shape optimization of a 3D hydrofoil. Journal of Ship Research 59 (4), pp. 209–226, doi: 10.5957/jsr.2015.59.4.209.
 Garg, N., Kenway, G.K.W., Martins, J.R.R.A. & Young, Y.L. (2017) Highfidelity multipoint hydrostructural optimization of a 3D hydrofoil. Journal of Fluids and Structures 71, pp. 15–39, doi: 10.1016/j.jfluidstructs.2017.02.001.
 Guo, Z., Lin, Z., Yang, Q. & Li, X. (2012) Research of Combined Control Scheme for Fast Catamaran Motion Control Using Tfoils and Interceptors. International Journal of Intelligent Engineering & Systems 5 (2)
 Hay, A. & Visonneau, M. (2005) Computation of freesurface flows with local mesh adaptation. International Journal for Numerical Methods in Fluids 49 (7), pp. 785–816.
 He, P., Martins, J.R.R.A., Mader, C.A. & Maki, K. (2019) Aerothermal optimization of a ribbed Ubend cooling channel using the adjoint method. International Journal of Heat and Mass Transfer 140, pp. 152–172.
 Jameson, A., Martinelli, L. & Pierce, N.A. (1998) Optimum aerodynamic design using the Navier–Stokes equations. Theoretical and Computational Fluid Dynamics 10 (1), pp. 213–237, doi: 10.1007/s001620050060.
 Kouh, J.S., Lin, T.J. & Chau, S.W. (2002) Performance analysis of twodimensional hydrofoil under free surface. Journal of National Taiwan University 86.
 MuñozPaniagua, J., Garcia, J. & Crespo, A. (2015) Aerodynamic Optimization of the Nose Shape of a Train Using the Adjoint Method. Journal of Applied Fluid Mechanics 8 (3), pp. 601–612, doi: 10.18869/acadpub.jafm.67.222.22632.
 Nazemian, A. & Ghadimi, P. (2020a) Shape optimization of a hydrofoil with leadingedge protuberances using full factorial sweep sampling and an RBF surrogate model. Scientific Journals of the Maritime University of Szczecin, Zeszyty Naukowe Akademii Morskiej w Szczecinie 62 (134), pp. 116–123, doi: 10.17402/426.
 Nazemian, A. & Ghadimi, P. (2020b) Shape optimization of trimaran ship hull using CFDbased simulation and adjoint solver. Ships and Offshore Structures, doi: 10.1080/17445302.2020.1827807.
 Nazemian, A. & Ghadimi, P. (2021) Automated CFDbased optimization of inverted bow shape of a trimaran ship: An applicable and efficient optimization platform. Scientia Iranica 28 (5 B), pp. 2751–2768.
 Othmer, C. (2014) Adjoint methods for car aerodynamics. Journal of Mathematics in Industry 4 (6), 6, doi: 10.1186/2190598346.
 Petrone, G., Hill, D.C. & Biancolini, M.E. (2014) Track by Track Robust Optimization of a F1 Front Wing using Adjoint Solutions and Radial Basis Functions. 44th AIAA Fluid Dynamics Conference, Atlanta, Georgia (USA).
 Raza, N., Mehmood, I., Rafuddin, H., Bilal, S. & Rafque, M. (2013) Numerical simulation of free surface effect on moving hydrofoil near free surface. 10th International Bhurban Conference on Applied Sciences & Technology (IBCAST), Islamabad, Pakistan.
 RBF (2022) RBFMorph™, Webinars and Q&A [Online] Available from: http://www.rbfmorph.com, [Accessed: January 02, 2022].
 Rhee, S.H., Kim, S.E., Ahn, H., Oh, J. & Kim, H. (2003) Analysis of a jetcontrolled highlift hydrofoil with a flap. Ocean Engineering 30,16, pp. 2117–2136, doi: 10.1016/ S00298018(03)000714.
 Sacher, M., Durand, M., Berrini, É., Hauville, F., Duvigneau, R., Le Maître, O. & Astolfi, J.A. (2018) Flexible hydrofoil optimization for the 35th America’s Cup with constrained EGO method. Ocean Engineering 157, pp. 62–72.
 Wang, D.X. & He, L. (2010) Adjoint aerodynamic design optimization for blades in multistage turbomachines – Part I: Methodology and verification. Journal of Turbomachinery 132 (2), 021011, doi: 10.1115/1.3072498.
 Wang, X., Song, B., Wang, P. & Sun, C. (2017) Hydrofoil optimization of underwater glider using FreeForm Deformation and surrogatebased optimization. International Journal of Naval Architecture and Ocean Engineering 10 (6), pp. 730–740, doi: 10.1016/j.ijnaoe.2017.12.005.
 Zanette, J., Imbault, D. & Tourabi, A. (2010) A design methodology for cross flow water turbines. Renewable Energy 35 (5), pp. 997–1009, doi: 10.1016/j.renene.2009.09.014.
 Zhang, J., Yang, S. & Liu, J. (2018) Numerical investigation of a novel device for bubble generation to reduce ship drag. International Journal of Naval Architecture and Ocean Engineering 10 (5), pp. 629–643.
