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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April 2015
Research-Article
Rankine Source Method for Ship–Ship Interaction Problems
Alexander von Graefe,
Alexander von Graefe
ISMT,
Duisburg-Essen University
,Bismarckstrasse 69
,Duisburg 47057
, Germany
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Ould el Moctar
Ould el Moctar
ISMT,
e-mail: ould.el-moctar@uni-due.de
Duisburg-Essen University
,Bismarckstrasse 69
,Duisburg 47057
, Germany
e-mail: ould.el-moctar@uni-due.de
Search for other works by this author on:
Alexander von Graefe
ISMT,
Duisburg-Essen University
,Bismarckstrasse 69
,Duisburg 47057
, Germany
Vladimir Shigunov
Ould el Moctar
ISMT,
e-mail: ould.el-moctar@uni-due.de
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. Apr 2015, 137(2): 021601 (10 pages)
Published Online: April 1, 2015
Article history
Received:
June 18, 2013
Revision Received:
December 2, 2014
Online:
January 7, 2015
Citation
von Graefe, A., Shigunov, V., and el Moctar, O. (April 1, 2015). "Rankine Source Method for Ship–Ship Interaction Problems." ASME. J. Offshore Mech. Arct. Eng. April 2015; 137(2): 021601. https://doi.org/10.1115/1.4029316
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