| 考虑非线性弥散影响的波浪变形数学模型 |
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| 引用本文： | 李瑞杰.考虑非线性弥散影响的波浪变形数学模型[J].海洋学报,2001,23(1):102-108. |
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| 作者姓名： | 李瑞杰 |
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| 作者单位： | 青岛海洋大学工程学院, 山东青岛 266003 |
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| 摘 要： | 提出了逼近Kirby和Dalrymple的非线性弥散关系的显式非线性弥散关系的表达式,该显式表达式与他们的非线性弥散关系的精度几乎完全相同.采用显式非线性弥散关系,结合含弱非线性效应的缓坡方程,得到考虑非线性弥散影响的波浪变形数学模型,并对该数学模型进行了数值验证.结果表明,考虑非线性弥散影响的波浪变形数学模型更为精确.
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| 关 键 词： | 非线性 显式非线性弥散关系 波浪变形 缓坡方程 |
| 文章编号： | 0253-4193(2001)01-0102-07 |
| 收稿时间： | 1999/9/30 0:00:00 |
| 修稿时间： | 1999年9月30日 |
Wave transformation model taking into account effect of nonlinear dispersion |
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| LI Rui-jie.Wave transformation model taking into account effect of nonlinear dispersion[J].Acta Oceanologica Sinica (in Chinese),2001,23(1):102-108. |
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| Authors: | LI Rui-jie |
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| Institution: | Engineering College, Ocean University of Qingdao, Qingdao 266003, China |
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| Abstract: | An explicit nonlinear expression that approximated to the nonlinear dispersion relation developed by Kirby and Dalrymple is presented. The precision of the explicit expression is nearly the same as that of the dispersion relation of Kirby and Dalrymple. Using this explicit nonlinear dispersion relation and combining it with the mild-s1ope equation with weakly nonlinear effect term, a wave transformation model taking into account effect of nonlinear dispersion can be obtained. The numerical computation shows that the results taking into account effect of nonlinearity for modelling the wave transformation are better than those without considering the linearity. |
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| Keywords: | nonlinearity explicit nonlinear dispersion relation wave transformation mild-slope equation |
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