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Stationary phase and practical numerical evaluation of ship waves in shallow water

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Abstract

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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Authors and Affiliations

  1. Marine Design and Research Institute of China, Shanghai, 20011, China

    Chen-liang Zhang  (张晨亮) & Jin-bao Wang  (王金宝)

  2. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Chen-liang Zhang  (张晨亮), Yi Zhu  (朱怡) & Francis Noblesse

  3. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, China

    Francis Noblesse

Authors
  1. Chen-liang Zhang  (张晨亮)
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  2. Jin-bao Wang  (王金宝)
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  3. Yi Zhu  (朱怡)
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  4. Francis Noblesse
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Corresponding author

Correspondence to Chen-liang Zhang  (张晨亮).

Additional information

Biography: Chen-liang Zhang (1990-), Male, Master, Engineer

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Zhang, Cl., Wang, Jb., Zhu, Y. et al. Stationary phase and practical numerical evaluation of ship waves in shallow water. J Hydrodyn 29, 817–824 (2017). https://doi.org/10.1016/S1001-6058(16)60793-X

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  • DOI: https://doi.org/10.1016/S1001-6058(16)60793-X

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