Stationary phase and practical numerical evaluation of ship waves in shallow water
A simple and highly-efficient method for numerically evaluating the waves created by a ship that travels at a constant speed in calm water, of large depth or of uniform depth, is given. The method, inspired by Kelvin’s classical stationary-phase analysis, is suited for evaluating far-field as well a...
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| Published in | 水动力学研究与进展：英文版 no. 5; pp. 817 - 824 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
2017
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| Online Access | Get full text |
| ISSN | 1001-6058 |
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| Summary: | A simple and highly-efficient method for numerically evaluating the waves created by a ship that travels at a constant speed in calm water, of large depth or of uniform depth, is given. The method, inspired by Kelvin’s classical stationary-phase analysis, is suited for evaluating far-field as well as near-field waves. More generally, the method can be applied to a broad class of integrals with integrands that contain a rapidly oscillatory trigonometric function with a phase function whose first derivative(and possibly also higher derivatives) vanishes at one or several points, commonly called points of stationary phase, with the range of integration. |
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| Bibliography: | 31-1563/T Chen-liang Zhang;Jin-bao Wang;Yi Zhu;Francis Noblesse;Marine Design and Research Institute of China;School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University;Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration |
| ISSN: | 1001-6058 |