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非线性海浪波面与波高的统计分布 总被引：10，自引：0，他引：10
采用风浪谱参量化的方法将随机波面无因次化,把波面与波高概率分布的各阶矩展开为谱宽度根方的幂级数,并由此导出波面与波高的统计分布。结果表明,在准确至零阶和一阶时,风浪分别退化为静止海面和单色波;在准确至二阶时,波面为线性模型,即波面服从正态分布;而在准确至三阶以上时,波面分布与Longuet-Higgins导出的非线性海浪模型的Gram-Charlier形分布具有同效益;并在准确至三阶时,导出一种新的波高分布,此分布函数以Longuet-Higgins等给出的Rayleigh分布作为二阶近似的特例。 相似文献
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基于Longuet－Higgins提出的非线性随机海浪模型，在二阶近似下通过直接计算联合分布的各阶矩，导出了非线性海浪波面高度和波面垂直速度的联合分布。该分布为非正态，其形式为截断的级数，而非由累积矩母函数方法可能得到的渐近无穷级数。由于非线性的影响，波面高度与波面垂直速度不再相互独立。 相似文献
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基于Ｌｏｎｇｕｅｔ－Ｈｉｇｇｉｎｓ提出的非线性随机海浪模型，在二阶近似下通过直接计算联合分布的各阶矩，导出了非线性海浪波面高度和波面垂直速度的联合分布，该分布为非正态，其形式为截断的级数，而非由累积矩母函数方法可能得到的渐近无穷级数。由于非线性的影响，波面高度与波面垂直速度不再相互独立。 相似文献
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基于非线性Beta波面分布,采用经验变换,导出1种仅用随机波面偏度λ3和尖度λ4 2个参数表示的非线性海浪波高概率统计分布--波高类Beta分布.此分布发展了线性窄谱假定下的Rayleigh分布.就所用实验室资料验证而言,本文推导的波高类Beta分布要优于几种工程上常用的波高分布. 相似文献
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基于Longuest-Higgins(1963)非线性海浪模型,在有限水深且存在均匀背景流的条件下,根据Song(2006)给出的波面位移二阶表达式,采用Combi海浪频谱计算了海表面定点波面位移时间序列和波面位移概率统计分布。分析了波面位移统计分布随风速、水深、反波龄和均匀背景流的变化特征和规律以及不同海况条件下二阶非线性项对波面位移统计分布的影响。结果表明:二阶非线性项使波面位移分布偏离正态分布,二阶非线性作用受风速、水深、反波龄和均匀背景流的影响。风速增大、水深降低、反波龄减小或者均匀背景流和风速传播方向相反均使波面位移二阶非线性项的作用加强,无因次波面位移概率密度分布的偏度和峰度随之增大,反之则二阶非线性项作用减弱。当均匀背景流和风速相同时,虽然使非线性项的作用减弱,但平均波面位移反而比静止水平面降低。当均匀背景流和风速相反时,虽然使非线性作用增强,但平均波面位移反而趋于静止水平面。得到如下结论:二阶非线性项对于波面位移有显著影响,数值模拟波面位移需要增加二阶非线性项。通过以上研究,提高了数值模拟波面位移的准确性,而波面位移是海浪最基本的特征量,从而增强了海浪模拟和预报的准确性,对海洋工程、海–气相互作用、上层海洋动力学等具有重要意义。 相似文献
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通过分析实验室风浪观测结果研究非线性效应对波面极大值和极小值分布的影响。波面极大值和极小值累积概率的差异表明 ,与线性理论相比 ,波面极小值在平均波面以下的位置偏高。对实验结果的进一步分析表明 ,非线性效应使波面极大值在平均波面以上总概率高于线性理论结果 ,而概率密度峰值处波面极大值高度略低于线性理论结果。波面极小值在平均波面以上各位置出现的概率均高于线性理论结果 ,在平均波面以下的较低位置 ,波面极小值出现概率明显低于线性理论结果。 相似文献
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《Coastal Engineering》2004,50(4):169-179
Based on the second-order random wave solutions of water wave equations in finite water depth, a joint statistical distribution of two-point sea surface elevations is derived by using the characteristic function expansion method. It is found that the joint distribution depends on five parameters. These five parameters can all be determined by the water depth, the relative position of two points and the wave-number spectrum of ocean waves. As an illustrative example, for fully developed wind-generated sea, the parameters that appeared in the joint distribution are calculated for various wind speeds, water depths and relative positions of two points by using the Donelan and Pierson spectrum and the nonlinear effects of sea waves on the joint distribution are studied. 相似文献
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Based on the second-order random wave theory, the joint statistical distribution of the horizontal velocity and acceleration is derived using the characteristic function expansion method. From the joint distribution and the Morison equation, the theoretical distributions of drag forces, inertia forces and total random wave forces are determined. The distribution of inertia forces is Gaussian as that derived using the linear wave model, whereas the distributions of drag forces and total random forces deviate slightly from those derived utilizing the linear wave model. It is found that the distribution of wave forces depends solely on the frequency spectrum of sea waves associated with the first order approximation and the second order wave–wave interaction. 相似文献
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In this paper, without recourse to the nonlinear dynamical equations of the waves, the nonlinear random waves are retrieved from the non-Gaussian characteristic of the sea surface elevation distribution. The question of coincidence of the nonlinear wave profile, spectrum and its distributions of maximum (or minimum) values of the sea surface elevation with results derived from some existing nonlinear theories is expounded under the narrow-band spectrum condition. Taking the shoaling sea wave as an example, the nonlinear random wave process and its spectrum in shallow water are retrieved from both the non-Gaussian characteristics of the sea surface elevation distribution in shallow water and the normal sea waves in deep water and compared with the values actually measured. Results show that they can coincide with the actually measured values quite well, thus, this can confirm that the method proposed in this paper is feasible. 相似文献
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In this paper the joint density of waveheight and half-wavelength is considered for waves observed at a fixed time point and encountering waves that are overtaking a ship from behind. The densities for these two cases are related by a Doppler shift, expressed in terms of the relative velocity of the waves and the ship. Based on this observation, an approximation of the encountered density is proposed. This approximation is then investigated for a Gaussian sea having a Pierson–Moskowitz spectrum. 相似文献
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A nonlinear model for nonbreaking shoaling random waves 总被引：1，自引：0，他引：1
ＡｎｏｎｌｉｎｅａｒｍｏｄｅｌｆｏｒｎｏｎｂｒｅａｋｉｎｇｓｈｏａｌｉｎｇｒａｎｄｏｍｗａｖｅｓＬｉｕＸｉｎ＇ａｎ,ＨｕａｎｇＰｅｉｊｉ,ＣｈｅｎＸｕｅｙｉｎｇ,ＨｕＺｅｊｉａｎ（ＲｅｃｅｉｖｅｄＯｃｔｏｂｅｒ１５,１９９６,ａｃｃｅｐｔｅｄＡｕｇｕ... 相似文献
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M.Aziz Tayfun 《Ocean Engineering》1984,11(3):245-264
The effect of nonlinearities, such as wave-breaking and vertical asymmetry associated with sea waves, on the distribution of wave amplitudes is explored. Semiclosed theoretical expressions are derived to describe the distributions of breaking-limited crest and trough amplitudes for Stokes-type nonlinear sea waves. These are compared with the conventional Rayleigh distribution appropriate to linear wave amplitudes. The construction of nonlinear wave envelopes with the fast Fourier transform technique is described. The technique can be utilized to enlarge the data base in empirical analyses of field records which typically contain limited information on amplitude characteristics. The theoretical distributions and the proposed data enlargement technique are demonstrated with the analysis of a nonlinear wave record. 相似文献