| 弱非线性斯托克斯波在非平整海底上传播的新型抛物型方程 |
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| 引用本文： | 黄虎,周锡礽,吕秀红.弱非线性斯托克斯波在非平整海底上传播的新型抛物型方程[J].海洋学报,2000,22(4):101-106. |
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| 作者姓名： | 黄虎 周锡礽 吕秀红 |
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| 作者单位： | 天津大学建筑工程学院港口工程系, 天津300072 |
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| 基金项目： | 国家教委博士点基金资助项目(编号：9405623)；国家高性能计算基金资助项目(编号：96103). |
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| 摘 要： | 由于缓坡方程计算量大和其本身的缓坡假定而在实际应用中受到了限制,故对斯托克斯波在非平整海底(适用于缓坡和陡坡地形)上传播的Liu和Dingemans的三阶演化方程进行抛物逼近,得到一个新的非线性抛物型方程,它能够包含同类方程未曾考虑的二阶长波效应.通过数值计算结果与Berkhoff等人的经典实验数据的比较,证明所提出的抛物型模型理论具有较高的精度.
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| 关 键 词： | 弱非线性斯托克斯波 非平整海底 二阶长波 非线性抛物型方程 浅滩实验 |
| 收稿时间： | 8/7/1998 12:00:00 AM |
| 修稿时间： | 1998年8月7日 |
A new parabolic equation for propagation of weakly nonlinear Stokes waves over uneven bottom |
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| Huang Hu,Zhou Xireng and L&#; Xiuhong.A new parabolic equation for propagation of weakly nonlinear Stokes waves over uneven bottom[J].Acta Oceanologica Sinica (in Chinese),2000,22(4):101-106. |
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| Authors: | Huang Hu Zhou Xireng and L&#; Xiuhong |
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| Institution: | Department of Harbor Engineering, School of Civil Engineering, Tianjin University, Tianjin 300072 |
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| Abstract: | Considering the limitation of mild- slope equation, requiring a computational effort and the mild- slope assumption, in practical engineering, a new nonlinear paraboic equation including the second-order long-waves ignored in the previous like equation is obtained by way of the paraboic approximation on Liu and ixngemans's thirdorder evolution equation for Stokes waves propagating over uneven bottom applicable to mild and abrupt topography.The model theory can provide more accurate predictions by comparison of the numerical medel results with the classic experimental data of Berkhoff et al. |
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| Keywords: | Weakly nonlinear Stokes waves uneven bottom second-order long-waves nonlinear parabolic equation the shoal experiment |
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