{"title":"Numerical Simulation of Free Surface Water Wave for the Flow around NACA 0012 Hydrofoil and Wigley Hull Using VOF Method","authors":"Saadia Adjali, Omar Imine, Mohammed Aounallah, Mustapha Belkadi","volume":101,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":884,"pagesEnd":889,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10001690","abstract":"Steady three-dimensional and two free surface waves\r\ngenerated by moving bodies are presented, the flow problem to be\r\nsimulated is rich in complexity and poses many modeling challenges\r\nbecause of the existence of breaking waves around the ship hull, and\r\nbecause of the interaction of the two-phase flow with the turbulent\r\nboundary layer. The results of several simulations are reported. The\r\nfirst study was performed for NACA0012 of hydrofoil with different\r\nmeshes, this section is analyzed at h\/c= 1, 0345 for 2D. In the second\r\nsimulation a mathematically defined Wigley hull form is used to\r\ninvestigate the application of a commercial CFD code in prediction of\r\nthe total resistance and its components from tangential and normal\r\nforces on the hull wetted surface. The computed resistance and wave\r\nprofiles are used to estimate the coefficient of the total resistance for\r\nWigley hull advancing in calm water under steady conditions. The\r\ncommercial CFD software FLUENT version 12 is used for the\r\ncomputations in the present study. The calculated grid is established\r\nusing the code computer GAMBIT 2.3.26. The shear stress k-\u03c9SST\r\nmodel is used for turbulence modeling and the volume of fluid\r\ntechnique is employed to simulate the free-surface motion. The\r\nsecond order upwind scheme is used for discretizing the convection\r\nterms in the momentum transport equations, the Modified HRIC\r\nscheme for VOF discretization. The results obtained compare well\r\nwith the experimental data.","references":"[1] ITTC \u201cCooperative Experiments on Wigely Parabolic Models\u201d, (17th\r\nITTC Resistance Committee Report, 2nd Ed, Japan, 1983).\r\n[2] Hough, G. R, \u201cMoran, and S. P: Froude number effects on twodimensional\r\nhydrofoils, J. Ship Res. 13, 53\u201360, 1969.\r\n[3] Plotkin, A., Thin-hydrofoil thickness problem including leading-edge\r\ncorrections\u201d, J. Ship Res. 19, 122\u2013129, 1975.\r\n[4] Duncan, J. H. \u201cThe breaking and non-breaking wave resistance of a two\r\ndimensional hydrofoil\u201d, J. Fluid Mech. 126, 1983.\r\n[5] Hino, T, \u201cA finite-volume method with unstructured grid for free surface\r\nflow simulations\u201d, Proceedings of the 6th International Conference on\r\nNumerical Ship Hydro, Iwoa, USA, 1993.\r\n[6] Kouh, J.S., Lin, T.J., Chau, S.W,\u201d Performance analysis of twodimensional\r\nhydrofoil under free surface. \u201d, J. Natl. Taiwan Univ, 86,\r\n2002.\r\n[7] Hirt, C. W., Nichols, B. D, \u201cVolume of fluid (VOF) method for the\r\ndynamics of free boundaries\u201d, J. Comput. Phys. 39 (1), 201\u2013225, 1981.\r\n[8] Fluent Inc, User Guide, 2012.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 101, 2015"}