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The effect of numerical integration stiffness in ship motio simulation.

Yeak, Su Hoe and Maimun, Adi (2000) The effect of numerical integration stiffness in ship motio simulation. Matematika, 16 (2). pp. 73-85. ISSN 0127-8274

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Official URL: http://www.fs.utm.my/matematika/content/view/47/31...

Abstract

In ship motion stability, generally, capsizing occurs due to the following effects: loss in directional control such as in broaching-to; loss in stability (pure loss of stability) and transient effect like parametric excitation. It is generally accepted that hydrodynamic forces due to waves are dominant that cause vessels' capsizing. It is generally accepted that numerical simulation using computers are reliable to study the ship motions. As a result, the 6 degrees-of-freedom time domain simulation will be used to study the ship motions especially the large amplitude motions. In this paper, we adopt three classes of numerical approach namely explicit Runge-Kutta, implicit Runge-Kutta and Rosenbrock-type Runge-Kutta methods in order to verify the effect of stiffness in ship motion simulation.

Item Type:Article
Uncontrolled Keywords:time domain ship simulation, explicit Runge-Kutta method, implicit Runge-Kutta method, Rosenbrock-type Runge-Kutta method, stiff ordinary differential equations
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:8818
Deposited By: Ms Zalinda Shuratman
Deposited On:13 May 2009 04:32
Last Modified:13 Aug 2010 02:30

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