American Journal of Mechanical Engineering
ISSN (Print): 2328-4102 ISSN (Online): 2328-4110 Website: Editor-in-chief: Kambiz Ebrahimi, Dr. SRINIVASA VENKATESHAPPA CHIKKOL
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American Journal of Mechanical Engineering. 2018, 6(3), 93-97
DOI: 10.12691/ajme-6-3-2
Open AccessArticle

Numerical Hydrodynamic Results of the Two Stepped Planing Hull

Hadi Nourghassemi1, Hassan Ghassemi1, and Hamidreza Taghva1

1Department of Maritime Engineering Amirkabir University of Technology, Tehran, Iran

Pub. Date: November 02, 2018

Cite this paper:
Hadi Nourghassemi, Hassan Ghassemi and Hamidreza Taghva. Numerical Hydrodynamic Results of the Two Stepped Planing Hull. American Journal of Mechanical Engineering. 2018; 6(3):93-97. doi: 10.12691/ajme-6-3-2


This paper presents the hydrodynamic results of the two stepped planing hull by numerical software solver. Time-averaged Navier-Stokes equations are coupled with the standard k-ε turbulence model, and volume of fluid equations are solved to simulate transient turbulent free surface flow surrounding the hull by ANSYS-CFX. In order to predict the motion of the vessel, equations of two degrees of freedom for rigid body are coupled with governing equations of fluid flow. In order to validate the numerical model, the obtained numerical results are compared with the available experimental data. The numerical results obtained for drag, dynamic trim, rising of centre of gravity (CG) and the pressure distribution on the body at different speeds and different heights of the applied steps are presented and discussed.

pressure drag stepped planing hull

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[1]  “Stepped Hull”,
[2]  Effect of varying depth of step, angle of after body kell, length of after body chine, and Gross load; John R. Dawson, Robert Mckann, and Elizabeth S. Hay; Lagley Memorial Aeronautical Laboratory Langley Field, VA; July 1946.
[3]  Savitsky, D., Hydrodynamic design of planing hulls, Marine Technology 1(1), 1964, 71-95.
[4]  Savitsky D, DeLorme MF, Datla R., Inclusion of Whisker Spray Drag in Performance Prediction Method for High-Speed Planing Hulls, Maine Technology, Vol. 44, No. 1, 2007, pp. 35-56.
[5]  Brizzolara S, Serra F., Accuracy of CFD codes in the prediction of planing surfaces hydrodynamic characteristics. In: 2nd international conference on marine research and transportation, Naples, 2007.
[6]  Ghassemi H, Ghiasi M., A combined method for the hydrodynamic characteristics of planing crafts. Ocean Eng 35(3-4): 2007, 310-322.
[7]  Ghassemi H, Yumin S., Determining the hydrodynamic forces on a planing hull in steady motion. J Mar Sci Appl 7: 2008, 147-156.
[8]  Kohansal AR, Ghassemi H, Ghiasi M., Hydrodynamic characteristics of high speed planing hulls, including trim effects, Turkish. J Eng Environ Sci 34: 2010, 1-16.
[9]  Kohansal AR, Ghassemi H., A numerical modeling of hydrodynamic characteristics of various planing hull forms. Ocean Eng 37(5-6): 2010, 498-510.
[10]  Akkerman I, Dunaway J, Kvandal J, Spinks J, Bazilevs Y (2012) Toward free-surface modeling of planing hulls: simulation of the Fridsma hull using ALE-VMS. Comput Mech 50(6):719-727.
[11]  Yumin S, Qington C, Hailong S, Wei L., Numerical simulation of a planing hull at high speed. J Mar Sci Appl 11(2): 2012, 178-183.
[12]  Ghassabzadeh M, Ghassemi H., Determining of the hydrodynamic forces on the multi-hull tunnel vessel in steady motion. Brazilian Soc Mech Sci Eng 36(4): 2014, 1-12.
[13]  Mansoori M., Fernandes A.C., Ghassemi H., Interceptor design for optimum trim control and minimum resistance of planing boats, Applied Ocean Research, 69, 2017, 100-115.
[14]  Taunton, D. J., Hudson, D. A., & Shenoi, R. A. Characteristics of a series of high speed hard chine planing hulls-part 1: performance in calm water. International Journal of Small Craft Technology, 152, 2010, 55-75.
[15]  Matveev, K. I., Three-dimensional wave patterns in long air cavities on a horizontal plane. Ocean Engineering, 34(13), 2007, 1882-1891.
[16]  Svahn D (2009) Performance prediction of hulls with transverse step. Master thesis, Marina System Center for Naval Architecture, KTH, Stockholm Taunton et al.
[17]  Savitsky D, Morabito M., Surface wave contours associated with the forebody wake of stepped planing hulls. Mar Technol 47(1), 2010, 1-16.
[18]  Taunton D, Hudson D, Shenoi R., Characteristics of a series of high speed hard chine planing hulls-Part 1: performance in calm water. Int J Small Craft Technol 152: 2010, 55-75.
[19]  Matveev, K. I., Two-dimensional modeling of stepped planing hulls with open and pressurized air cavities, International Journal of Naval Architecture and Ocean Engineering, Vol 4(2), 2012, pp 162-171
[20]  Garland WR, Maki KJA, Numerical study of a two-dimensional stepped planing surface. J Ship Prod Des 28(2): 2012, 60-72.
[21]  Ghassabzadeh M. and Ghassemi H., Numerical Hydrodynamic of Multihull Tunnel Vessel, Open Journal of Fluid Dynamics, Vol. 3 No. 3, 2013, pp. 198-204.
[22]  Veysi S T G · Bakhtiari M, Ghassemi H, Ghiasi M. Toward numerical modeling of the stepped and nonstepped planing hull, Brazilian Soc Mech Sci Eng. 2014,
[23]  Lee, E., Pavkov, M., & McCue-Weil, L., The systematic variation of step configuration and displacement for a double-step planing craft, Journal of Ship Production and Design, 30(2), 2014, 89-97.
[24]  Bakhtiari M, Veysi S.T.G, Ghassemi H., Numerical modeling of the stepped planing hull in calm water. International Journal of Engineering; Transactions B: Applications Vol. 29, No. 2, 2016, 236-245.
[25]  Nourghassemi, H., Bakhtiari, M., & Ghassemi, H. Numerical study of step forward swept angle effects on the hydrodynamic performance of a planing hull, Scientific Journals of the Maritime University of Szczecin, (51), 2017, 35-42.