The effect of numerical integration stiffness in ship motio simulation.
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 domi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Faculty of Science
2000
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| Online Access: | http://eprints.utm.my/8818/1/YeakSuHoe2000_TheEffectOfNumericalIntegrationStiffness.pdf |
| _version_ | 1796854460773826560 |
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| author | Yeak, Su Hoe Maimun, Adi |
| author_facet | Yeak, Su Hoe Maimun, Adi |
| author_sort | Yeak, Su Hoe |
| collection | ePrints |
| description | 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. |
| first_indexed | 2024-03-05T18:14:24Z |
| format | Article |
| id | utm.eprints-8818 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:14:24Z |
| publishDate | 2000 |
| publisher | Department of Mathematics, Faculty of Science |
| record_format | dspace |
| spelling | utm.eprints-88182010-08-13T02:30:31Z http://eprints.utm.my/8818/ The effect of numerical integration stiffness in ship motio simulation. Yeak, Su Hoe Maimun, Adi QA Mathematics 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. Department of Mathematics, Faculty of Science 2000-12 Article PeerReviewed application/pdf en http://eprints.utm.my/8818/1/YeakSuHoe2000_TheEffectOfNumericalIntegrationStiffness.pdf 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 http://www.fs.utm.my/matematika/content/view/47/31/ |
| spellingShingle | QA Mathematics Yeak, Su Hoe Maimun, Adi The effect of numerical integration stiffness in ship motio simulation. |
| title | The effect of numerical integration stiffness in ship motio simulation. |
| title_full | The effect of numerical integration stiffness in ship motio simulation. |
| title_fullStr | The effect of numerical integration stiffness in ship motio simulation. |
| title_full_unstemmed | The effect of numerical integration stiffness in ship motio simulation. |
| title_short | The effect of numerical integration stiffness in ship motio simulation. |
| title_sort | effect of numerical integration stiffness in ship motio simulation |
| topic | QA Mathematics |
| url | http://eprints.utm.my/8818/1/YeakSuHoe2000_TheEffectOfNumericalIntegrationStiffness.pdf |
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