Open Access

ARTICLE

Group Preserving Scheme for Simulating Dynamic Ship Maneuvering Behaviors

by

1 Department of Marine Engineering.
2 Department of Systems Engineering & Naval Architecture.
3 Department of Merchant Marine.

Structural Longevity 2013, 9(1), 59-73. https://doi.org/10.3970/sl.2013.009.059

Abstract

In this paper, the group preserving scheme (GPS) is adopted to simulate the dynamic ship maneuvering behaviors. According to the mathematical model of the maneuvering ship motion, ship dynamic behaviors are affected by the ship hull resistance, rudder and propulsive propeller forces, and main engine induced force; therefore, the conventional approach uses the high order time integration to simulate the ship dynamic behaviors and results in the numerical instability. Due to the characteristics of the cone structure, Lie-algebra, and group property of the GPS, this research introduces the non-linear GPS to simulate the dynamic ship behaviors. Through the group weighting factor of the GPS, the non-linear parameters’ behaviors can be observed and the numerical stability can be guaranteed. In addition, the second order of the GPS can ensure the accuracy of the high-order numerical method for simulating ship simulation behaviors and enhance the effi- ciency of the numerical calculation. Finally, results of the proposed approach are compared with the sea-trial data of a 278,000 DWT ESSO OSAKA ore & tanker [Crane (1979)] further validation.

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Keywords

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