Computational hydrodynamic simulations for an underwater axisymmetric hemisphere-cylinder hull-form at incidence


  • Salimuddin Zahir Centres of Excellence in Science & Applied Technologies, Islamabad - 44000



Autonomous underwater vehicles, Hemisphere-cylinder hull-form, Axisymmetric hydrodynamic configuration, Axial pressure distribution, CFD, Hydrodynamic force coefficients, Static stability.


This contribution presents a computational simulation for a generic hull shape with attached short pin-protuberance for its hydrodynamic characteristics. This work is a part of a large framework of numerical simulation and experimentation carried out for blunted head-forms of hemispheric shapes for determination of aero-hydrodynamic coefficients and static stability features. Results are presented for a clean hull-form and with the pin-protuberance, as static axial and circumferential pressure distribution on the surface, calculated at a fixed velocity and at different angle of attacks, under non-cavitating depth and velocity. It is shown that a suitably located short lateral pin has an adequate effectiveness to control pitch maneuver of an underwater hemisphere-cylinder hull-form. In view of that, a suitable pin-height adjustment commensurate to pitch attitude trajectory corrections is a workable idea, and the concept has potential of effective pitch attitude control of the hemisphere-cylinder hull-form.



Download data is not yet available.

Author Biography

Salimuddin Zahir, Centres of Excellence in Science & Applied Technologies, Islamabad - 44000

Senior Researcher


Ngoc T. Hoang, (1999): Hemisphere cylinder at incidence at intermediate to high Reynolds numbers, AIAA Journal Vol. 37, No. 10, October 1999.

Liu, Zhu, He, Hu & Guo, (1995): An experimental study on cavitating axisymmetric head-forms., Ship building of China.

Granville, P.S., (1953): The calculation of the viscous drag of bodies of revolution. Naval Department, The David W. Taylor Model Basin, Washington, Report 849.

Hackett, J.E., (2000): Drag, lift and pitching moment increments due to wall constraint in a two-dimensional wind tunnel. In: Proceedings of the Thirty Eighth Aerospace Sciences Meeting and Exhibit, Pers. Communication.

Hsieh, T. (1977): Low supersonic flow over hemisphere cylinder at incidence, AIAA Journal of Spacecraft & Rockets, Vol. 14., No. 11, pp 662-668.

Ward, L. C. (1978): Force measurements on ten axisymmetric forebodies showing the effects of nose blunting at transonic and supersonic Mach numbers, RAE TR 78093.

Wallskog, H. A. & Hart, R., (1953): Investigation of the drag of blunt-nosed bodies of revolution in free flight mach numbers from 0.6 to 2.3, NACA RM L53D14a.

Polhamus, Edward C., (1957): Effect of Nose Shape on Subsonic Aerodynamic Characteristics of a Body of Revolution Having a Fineness Ratio of l0.94, NACA RM L57F25.

Jagadeesh, P., Murali, K., (2005): Application of low-Re turbulence models for flow simulations under water vehicle hull forms.

Nakayama, A., Patel, V.C., (1974): Calculation of the viscous resistance of bodies of revolution. Journal of Hydronautics 8 (4), 154162.

Roddy, R.F., (1990): Investigation of the stability and control characteristics of several configurations of the DARPA SUBOFF Model (DTRC Model 5470) from captive- model experiments. David Taylor Research Centre Report DTRC/SHD-1298-08.

J. LI., and C. LU., (2010): Calculation of Added mass of a vehicle running with cavity, J. of Hydrodynamics 2010,22 (3):312-318 vol. 22, No.3.

Kunz, R. F., Boger, D.A., Gibeling, H.J., Govindan, T.R., (1999): A preconditioned navier-stokes method for two-phase flows, AIAA Paper 99-3329, Proc. 14th AIAA CFD Conference.

Plesset, M.S. and Chapman, R.B. (1971): Collapse of an initially spherical vapor cavity in the neighborhood of a solid boundary. J. Fluid Mech., 47, 283-290.

Plesset, M.S. and Prosperetti, A., (1977): Bubble dynamics and cavitation. Ann. Rev. Fluid Mech., 9, 145-185.

Sung, C.H., Griffin, M.J., Tsai, J.F., Huang, T.T., (, 1993): Incompressible flow computation of forces and moments on bodies of revolution at incidence. I31st Aerospace Sciences Meeting and Exhibit, January 1114, AIAA 93-0787.

Sung, C.H., Fu, T.C., Griffin, M.J., Huang, T.T., (1995): Validation of incompressible flow computation of forces and moments on axisymmetric bodies at incidence. In: Proceedings of the Thirty Third Aerospace Sciences Meeting and Exhibit, January 912, AIAA 95-0528.

Merkle, C.L., Feng, J., Buelow, P.E.O., (1998): Computational modeling of the dynamics of sheet cavitation, 3rd International Symposium on Cavitation, Grenoble, France.

B.Allotta, L.Pugi, R.Costanzi, G.Vettori, (2011): Localization algorithm for a fleet of three AUVs by INS, DVL and Range measurements, The 15th Int. Conf. On Adv. Robotics, Tallinn June 20-23.

A. Alvarez, V. Bertram, L. Gualdesi, Hull hydrodynamic optimization of autonomous underwater vehicles operating at snorkeling depth, Journal of Ocean Engineering doi:10.1016/j.oceaneng.2008.08.006

Xianzhao Yu, Yumin Su, (2010): Hydrodynamic performance calculation on mini-automatic underwater vehicle, Proceedings of the 2010 IEEE International Conference on Information and Automation June 20 - 23, Harbin, China.

P. Jagadeesh, K. Murali, V.G. Idichandy, (2009): Experimental investigation of hydrodynamic force coefficients over AUV hull form, Journal of Ocean Engineering 36 (2009) 113118.

Aerodynamics Division, (2003): Aerodynamic Data of Hemisphere-Cylinder Configurations; Vol-2, TR-WT-001/03, Aerodynamics and Structural Analysis Centre, Islamabad, Pakistan.

Zahid, S. Zahir, Rafi, (2002): CFD predictions of axial pressure distribution and flow structure of water and air around hemisphere cylinder configuration at intermediate to high Reynolds numbers and at various incidence angles, First International Bhurban Conference on Applied Sciences and Technology.

Zahir, S. and Ye, Z., (2006): Computational Aerodynamic Interaction of a Short Protuberance /Lateral Plate on Blunted Cone Configurations in Hypersonic Flow, AIAA-2006-3172; 24th Applied Aerodynamics Conference, CA, USA; 5-8 June.

Zahir, S., (2011): Aerodynamic Characteristics of a PGMM Shell with Pin-Protuberance under Subsonic Flight Conditions Proceedings of the ICAMS 2011; Islamabad, Pakistan.

Aerodynamics Division, (1997): PAK-GRID Users Manual, Aerodynamics and Structural Analysis Centre, Islamabad, Pakistan.




How to Cite

Zahir, S. (2014). Computational hydrodynamic simulations for an underwater axisymmetric hemisphere-cylinder hull-form at incidence. Journal of Naval Architecture and Marine Engineering, 11(1), 93–104.