李瑞杰.考虑相速弥散影响的单频波变形数学模型[J].水利学报,2000,31(3):0065-0069 |
考虑相速弥散影响的单频波变形数学模型 |
A monochromatic wave transformation model taking into account the dispersion of phase velocity |
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DOI: |
中文关键词: 相速弥散 显式非线性弥散关系 单频波 缓坡方程 |
英文关键词: dispersion of phase velocity explicit non-linear dispersion relation monochromatic wave mild slope equation |
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中文摘要: |
本文提出了逼近Hedges(1987)的考虑位相弥散影响的非线性弥散关系的显式表达式,该显式表达式与Hedges的非线性弥散关系吻合较好。用文中显式非线性弥散关系,结合含弱非线性效应的缓坡方程,得到考虑相速弥散影响的单频波变形数学模型。对该数学模型进行了数值验证,验证结果表明,考虑相速弥散影响的单频波变形数学模型更为精确、合理。 |
英文摘要: |
A new explicit formula is presented do approximate the nonlinear dispersion expression suggested by Hedges (1987), in which the phase dispersion effect is taking into account. The present explicit formula is in good agreement with the origional empirical formula. Combining this formula with the mild slope equation, a monochromatic wave transformation model taking into account the dispersion of phase velocity is developed. The model is tested against the laboratory data. It is shown that the suggested mathematical model is in good agreement with experimental data. |
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