This paper describes a numerical technique for analyzing the viscous unsteady flow around oscillating ship hulls. The technique is based on a general Reynolds-averaged Navier-Stokes (RANS) capability, and is intended to generate viscous roll moment data for the incorporation of real-flow effects into potential flow ship motions programs. The approach utilizes the finite analytic technique for discretizing the unsteady RANS equations, and a variety of advanced turbulence models for closure. The calculations presented herein focus on viscous and vortical effects without free-surface, and utilize k-epsilon turbulence modeling. Series variations are presented to study the effects of frequency, amplitude, Reynolds number, and the presence of bilge keels. Moment component breakdown studies are performed in each case to isolate the effects of viscosity, vorticity, and potential flow pressures.

Issue Section:
Research Papers
Topics:
Damping, Ships, Flow (Dynamics), Reynolds-averaged Navier–Stokes equations, Turbulence, Hull, Keel, Modeling, Reynolds number, Unsteady flow, Viscosity, Vorticity
1.
Al-Hukail, A., et al., 1994, “Numerical Predictions of the Effect of Forward Speed on Roll Damping,” Proceedings, 20th Symposium on Naval Hydrodynamics, Santa Barbara, CA.
2.
Brown
D. T.
, and
Patel
M. H.
,
1985
, “
A Theory for Vortex Shedding from the Keels of Marine Vehicles
,”
Journal of Engineering Mathematics
, Vol.
19
, pp.
265
–
295
.
3.
Chen, H. C., and Korpus, R. A., 1993, “A Multi-Block Finite-Analytic Reynolds-Averaged Navier-Stokes Method for 3-D Incompressible Flows,” ASME Journal of Fluids Engineering.
4.
Chen
H. C.
, and
Patel
V. C.
,
1988
, “
Near-Wall Turbulence Models for Complex Flows Including Separation
,”
AIAA Journal
, Vol.
26
, No.
4
, pp.
641
–
648
.
5.
Chen, H. C., and Patel, V. C., 1989, “The Flow Around Wing-Body Junctions,” Proceedings, 4th Symposium on Num. and Phys. Aspects of Aerodynamic Flows, Long Beach, CA.
6.
Chen
H. C.
,
Patel
V. C.
, and
Ju
S.
,
1990
, “
Solutions of Reynolds-Averaged Navier-Stokes Equations for Three-Dimensional Incompressible Flows
,”
Journal of Computational Physics
, Vol.
88
, No.
2
, pp.
305
–
336
.
7.
Downie
M. J.
,
Bearman
P. W.
, and
Grahamn
J. M.
,
1988
, “
Effect of Vortex Shedding on Coupled Roll Response of Bodies in Waves
,”
Journal of Fluid Mechanics
, Vol.
189
, pp.
243
–
264
.
8.
Faltinsen, O., 1990, Sea Loads on Ships and Offshore Structures, Cambridge University Press, Cambridge, U.K.
9.
Faltinsen, O., and Petersen, B., 1982, “Vortex Shedding Around Two-dimensional Bodies at High Reynolds Number,” Proceedings, 14th Symposium on Naval Hydrodynamics, Ann Arbor, MI.
10.
Hanjalic, K., and Launder, B. E., 1980, “Sensitizing the Dissipation Equation to Irrotational Strains,” ASME Journal of Fluids Engineering, Vol. 102.
11.
Himeno, Y., 1982, “Prediction of Ship Roll Damping State-of-the-Art,” University of Michigan, Department of Naval Architecture, Report No. 239 Ann Arbor, MI.
12.
Korpus, R., 1995, “Six Years of Progress Under the ARPA SUBTECH Program,” SAIC Report No. 95/1143.
13.
Sarpkaya, T., and Isaacson, M., 1982, Mechanics of Wave Forces on Offshore Structures, Van Nostrand Reinhold, New York, NY.
14.
Vugts, J., 1968, “The Hydrodynamic Coefficients for Swaying, Heaving, and Rolling Cylinders in a Free Surface,” Netherlands Ship Research Center Report No. 122.
15.
Weems, K., and Korpus, R., et al., 1994, “Near-Field Flow Predictions for Ship Design,” Proceedings, 20th Symposium Naval Hydrodynamics, Santa Barbara, CA.
16.
Yeung
R.
, and
Ananthakrishnan
P.
,
1992
, “
Oscillation of a Floating Body in a Viscous Fluid
,”
Journal of Engineering Mathematics
, Vol.
26
, pp.
211
–
230
.
This content is only available via PDF.
Copyright © 1997
 by The American Society of Mechanical Engineers
You do not currently have access to this content.