Numerical Simulation of Free Surface Water Wave for the Flow around NACA 0012 Hydrofoil and Wigley Hull Using VOF Method
Steady three-dimensional and two free surface waves
generated by moving bodies are presented, the flow problem to be
simulated is rich in complexity and poses many modeling challenges
because of the existence of breaking waves around the ship hull, and
because of the interaction of the two-phase flow with the turbulent
boundary layer. The results of several simulations are reported. The
first study was performed for NACA0012 of hydrofoil with different
meshes, this section is analyzed at h/c= 1, 0345 for 2D. In the second
simulation a mathematically defined Wigley hull form is used to
investigate the application of a commercial CFD code in prediction of
the total resistance and its components from tangential and normal
forces on the hull wetted surface. The computed resistance and wave
profiles are used to estimate the coefficient of the total resistance for
Wigley hull advancing in calm water under steady conditions. The
commercial CFD software FLUENT version 12 is used for the
computations in the present study. The calculated grid is established
using the code computer GAMBIT 2.3.26. The shear stress k-ωSST
model is used for turbulence modeling and the volume of fluid
technique is employed to simulate the free-surface motion. The
second order upwind scheme is used for discretizing the convection
terms in the momentum transport equations, the Modified HRIC
scheme for VOF discretization. The results obtained compare well
with the experimental data.
[1] ITTC “Cooperative Experiments on Wigely Parabolic Models”, (17th
ITTC Resistance Committee Report, 2nd Ed, Japan, 1983).
[2] Hough, G. R, “Moran, and S. P: Froude number effects on twodimensional
hydrofoils, J. Ship Res. 13, 53–60, 1969.
[3] Plotkin, A., Thin-hydrofoil thickness problem including leading-edge
corrections”, J. Ship Res. 19, 122–129, 1975.
[4] Duncan, J. H. “The breaking and non-breaking wave resistance of a two
dimensional hydrofoil”, J. Fluid Mech. 126, 1983.
[5] Hino, T, “A finite-volume method with unstructured grid for free surface
flow simulations”, Proceedings of the 6th International Conference on
Numerical Ship Hydro, Iwoa, USA, 1993.
[6] Kouh, J.S., Lin, T.J., Chau, S.W,” Performance analysis of twodimensional
hydrofoil under free surface. ”, J. Natl. Taiwan Univ, 86,
2002.
[7] Hirt, C. W., Nichols, B. D, “Volume of fluid (VOF) method for the
dynamics of free boundaries”, J. Comput. Phys. 39 (1), 201–225, 1981.
[8] Fluent Inc, User Guide, 2012.
[1] ITTC “Cooperative Experiments on Wigely Parabolic Models”, (17th
ITTC Resistance Committee Report, 2nd Ed, Japan, 1983).
[2] Hough, G. R, “Moran, and S. P: Froude number effects on twodimensional
hydrofoils, J. Ship Res. 13, 53–60, 1969.
[3] Plotkin, A., Thin-hydrofoil thickness problem including leading-edge
corrections”, J. Ship Res. 19, 122–129, 1975.
[4] Duncan, J. H. “The breaking and non-breaking wave resistance of a two
dimensional hydrofoil”, J. Fluid Mech. 126, 1983.
[5] Hino, T, “A finite-volume method with unstructured grid for free surface
flow simulations”, Proceedings of the 6th International Conference on
Numerical Ship Hydro, Iwoa, USA, 1993.
[6] Kouh, J.S., Lin, T.J., Chau, S.W,” Performance analysis of twodimensional
hydrofoil under free surface. ”, J. Natl. Taiwan Univ, 86,
2002.
[7] Hirt, C. W., Nichols, B. D, “Volume of fluid (VOF) method for the
dynamics of free boundaries”, J. Comput. Phys. 39 (1), 201–225, 1981.
[8] Fluent Inc, User Guide, 2012.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:70204", author = "Saadia Adjali and Omar Imine and Mohammed Aounallah and Mustapha Belkadi", title = "Numerical Simulation of Free Surface Water Wave for the Flow around NACA 0012 Hydrofoil and Wigley Hull Using VOF Method", abstract = "Steady three-dimensional and two free surface waves
generated by moving bodies are presented, the flow problem to be
simulated is rich in complexity and poses many modeling challenges
because of the existence of breaking waves around the ship hull, and
because of the interaction of the two-phase flow with the turbulent
boundary layer. The results of several simulations are reported. The
first study was performed for NACA0012 of hydrofoil with different
meshes, this section is analyzed at h/c= 1, 0345 for 2D. In the second
simulation a mathematically defined Wigley hull form is used to
investigate the application of a commercial CFD code in prediction of
the total resistance and its components from tangential and normal
forces on the hull wetted surface. The computed resistance and wave
profiles are used to estimate the coefficient of the total resistance for
Wigley hull advancing in calm water under steady conditions. The
commercial CFD software FLUENT version 12 is used for the
computations in the present study. The calculated grid is established
using the code computer GAMBIT 2.3.26. The shear stress k-ωSST
model is used for turbulence modeling and the volume of fluid
technique is employed to simulate the free-surface motion. The
second order upwind scheme is used for discretizing the convection
terms in the momentum transport equations, the Modified HRIC
scheme for VOF discretization. The results obtained compare well
with the experimental data.", keywords = "Free surface flows, Breaking waves, Boundary
layer, Wigley hull, Volume of fluid.", volume = "9", number = "5", pages = "884-5", }