Research Papers: Structures and Safety Reliability

Rankine Source Method for Ship–Ship Interaction Problems

[+] Author and Article Information
Alexander von Graefe

Duisburg-Essen University,
Bismarckstrasse 69,
Duisburg 47057, Germany
Brooktorkai 18,
Hamburg 20457, Germany
e-mail: alexander.von-graefe@dnvgl.com

Vladimir Shigunov

Brooktorkai 18,
Hamburg 20457, Germany
e-mail: vladimir.shigunov@dnvgl.com

Ould el Moctar

Duisburg-Essen University,
Bismarckstrasse 69,
Duisburg 47057, Germany
e-mail: ould.el-moctar@uni-due.de

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 18, 2013; final manuscript received December 2, 2014; published online January 7, 2015. Assoc. Editor: Thomas E. Schellin.

J. Offshore Mech. Arct. Eng 137(2), 021601 (Apr 01, 2015) (10 pages) Paper No: OMAE-13-1056; doi: 10.1115/1.4029316 History: Received June 18, 2013; Revised December 02, 2014; Online January 07, 2015

A Rankine source method is extended and applied to ship–ship interaction problems. The method covers the nonlinear steady flow and linear seakeeping in the frequency domain. The nonlinear steady flow solution accounts for the nonlinear free-surface conditions, ship wave, and dynamic trim and sinkage. Periodic flow due to waves is linearized with respect to the wave amplitude, taking into account interactions with the nonlinear steady flow following Hachmann approach, which considers the steady perturbation potential as constant in the body-fixed reference frame. This is advantageous for the prediction of ship motions at moderate to high Froude numbers. In this context, a new formulation of the boundary condition for the multibody case is derived. Two examples are considered, overtaking in calm water and replenishment at sea. For a feeder vessel overtaken by a container ship, horizontal forces and yaw moment are computed and compared with reference data. As an example of replenishment operation, interaction between a frigate and a supply vessel is studied. Ship motions are computed for two relative positions and three forward speeds and compared with model test data for the largest forward speed. The Rankine source method proves as more accurate compared with a zero-speed free-surface Green function method.

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Grahic Jump Location
Fig. 1

Longitudinal (top, positive to bow) and side (middle, positive to port) forces and yaw moment (bottom, positive for bow toward overtaking vessel) on feeder versus relative longitudinal position

Grahic Jump Location
Fig. 2

Wave pattern during overtaking for longitudinal distance x of (top to bottom) −105.0, 0.0, and 105.0 m

Grahic Jump Location
Fig. 3

Steady wave pattern for ships alongside (left) and frigate ahead (right) at 12.0 kn forward speed

Grahic Jump Location
Fig. 4

Motions amplitudes of supply vessel at 12.0 kn forward speed in head waves

Grahic Jump Location
Fig. 5

Motions amplitudes of frigate at 12.0 kn forward speed in head waves

Grahic Jump Location
Fig. 6

Motions amplitudes of supply vessel at 6.0 kn forward speed in head waves

Grahic Jump Location
Fig. 7

Motions amplitudes of frigate at 6.0 kn forward speed in head waves

Grahic Jump Location
Fig. 8

Motions amplitudes of supply vessel at zero forward speed in head waves

Grahic Jump Location
Fig. 9

Motions amplitudes of frigate at zero forward speed in head waves



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