https://scholars.lib.ntu.edu.tw/handle/123456789/598310
標題: | Approximate ship wake solution for fast computation | 作者: | Lo P.H.-Y. HONG-YUEH LO |
關鍵字: | Analytical solution;Ship wake;Small-amplitude water wave theory;Sokhotski–Plemelji formula;Computation theory;Ships;Surface waters;Wakes;Approximate solution;Fast computation;Pressure-field;Ship wakes;Shipshapes;Small amplitude wave theory;Sokhotski–plemelji formula;Wake patterns;Water depth;Water waves;amplitude;analytical method;vessel;wake;water wave | 公開日期: | 2021 | 卷: | 235 | 來源出版物: | Ocean Engineering | 摘要: | An approximate ship wake solution that accurately predicts both the wake patterns and the wake amplitudes in any water depth is proposed and validated. Derivation based on the small-amplitude wave theory is first revisited, treating a ship as a moving pressure field acting on the water surface. For ship shapes symmetric about the transverse (pitch) axis and away from the immediate vicinity of the ship, an approximate solution is sought. In contrast to the exact analytical solution consisting of a double integral, the approximate solution is simplified through analytical means to consist of a single integral. Singularities inside the integrand of the exact solution have also been removed. Hence, the computational effort is greatly reduced. Two extreme ship shape functions are considered to plot the solutions: a sharp rectangular shape and a smooth Gaussian shape. The newly derived approximate solution is validated using 37 satellite images of ship wakes, one towing tank experiment, and two field experiments. Then, water depth effects on wake patterns are discussed. Providing means to quickly relate the ship shape, weight, speed, and water depth to the wake characteristics, the new ship wake solution is a potentially powerful tool in the study of ship wake inversion. ? 2021 Elsevier Ltd |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85109165176&doi=10.1016%2fj.oceaneng.2021.109405&partnerID=40&md5=0debb3824ace8854c0cd03af67d559f6 https://scholars.lib.ntu.edu.tw/handle/123456789/598310 |
ISSN: | 00298018 | DOI: | 10.1016/j.oceaneng.2021.109405 |
顯示於: | 工程科學及海洋工程學系 |
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