| 船行波的Airy函数渐近解 |
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| 引用本文： | 吴云岗,刘敏嘉,陶明德.船行波的Airy函数渐近解[J].复旦学报(自然科学版),2005,44(2):256-261. |
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| 作者姓名： | 吴云岗 刘敏嘉 陶明德 |
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| 作者单位： | 复旦大学,力学与工程科学系,上海,200433;复旦大学,力学与工程科学系,上海,200433;复旦大学,力学与工程科学系,上海,200433 |
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| 摘 要： | 把船作为点源，从水动力学方程出发，导出无粘流体中水上船行波高积分表达式，并采用留数定理和相位函数展开法获得船行波高用Airy函数表示的一个简洁的渐近表达式，消除了在船行波侧边上的奇性，并改进了Ursell的结果，得到了更明确的结论．
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| 关 键 词： | 船行波 Airy函数 奇性 相位函数 |
| 文章编号： | 0427-7104(2005)02-0256-06 |
An Asymptotic Solution with Airy Function for Ship Waves |
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| WU Yun-gang,LIU Ming-jia,TAO Ming-de.An Asymptotic Solution with Airy Function for Ship Waves[J].Journal of Fudan University(Natural Science),2005,44(2):256-261. |
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| Authors: | WU Yun-gang LIU Ming-jia TAO Ming-de |
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| Abstract: | Taking ship as a moving concentrated pressure point and from the hydrodynamics equations,the integral expressions of the free-surface elevation in ship waves of a moving waterborne body are derived.By use of the residue theorem and a phase function expansion,a concise asymptotic expression of ship wave elevation is obtained.The singularity at both sides of ship waves is sublated.Ursell's result is improved and a more clear conclusion is also obtained. |
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| Keywords: | ship waves Airy function singularity phase function |
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