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TECHNICAL PAPERS

Second Order Model for Wave Crests Used in Prediction of Green Water Load and Volume on Ships in Random Waves

[+] Author and Article Information
Hanne Therese Wist1

Department of Marine Technology, Norwegian University of Science and Technology (NTNU), Trondheim, Norwayhanne.wist@math.ntnu.no

Dag Myrhaug

Department of Marine Technology, Norwegian University of Science and Technology (NTNU), Trondheim, Norwaydag.myrhaug@marin.ntnu.no

Håvard Rue

Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), Trondheim, Norwayhavard.rue@math.ntnu.no

1

Corresponding author. Present address: Dept. of Mathematical Sciences, NTNU.

J. Offshore Mech. Arct. Eng 128(4), 271-275 (Oct 24, 2005) (5 pages) doi:10.1115/1.2241570 History: Received August 25, 2004; Revised October 24, 2005

The probability that a wave crest in a random sea will exceed a specified height has long been recognized as important statistics in practical work, e.g., in predicting green water load and volume on a ship. Nonlinear probability density functions for predicting green water load and volume are presented. The models are based on the parametric model of Ogawa (2003, “Long-Term Prediction Method for the Green Water Load and Volume for an Assessment of the Load Line,” J. Marine Sci. Technol., 7, pp. 137–144) combined with transformation of a second order wave crest height model. The wave crest height model is obtained from second order wave theory for a narrow-banded sea state in combination with transformation of the Rayleigh distribution. Results from the second order models are compared with model tests of a cargo ship presented in Ogawa (2003, “Long-Term Prediction Method for the Green Water Load and Volume for an Assessment of the Load Line,” J. Marine Sci. Technol., 7, pp. 137–144) and the Ogawa models.

FIGURES IN THIS ARTICLE
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Copyright © 2006 by American Society of Mechanical Engineers
Topics: Stress , Waves , Ships , Water , Probability
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References

Figures

Grahic Jump Location
Figure 1

Probability of exceedance of the second order model and the Rayleigh distribution compared with wave crest height data from the Draupner field (r=0.119,R=0.0092)

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Figure 2

Illustration of the relationship between ηmax and b. The dotted line indicates the mean water level (MWL).

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Figure 3

Mean green water pressure: (a) cargo type-1, (b) cargo type-3, solid line—Ogawa model, dashed line—second order model, ∎ data type-1, ▴ data type-3

Grahic Jump Location
Figure 4

Mean green water height: (a) cargo type-1, (b) cargo type-3, solid line—Ogawa model, dashed line—second order model, ∎ data type-1, ▴ data type-3

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