一个新的非恒定型不规则波缓坡方程

缓坡方程由Ｂｅｒｋｈｏｆ所推导并在规则波折射绕射问题的研究上有着广泛的应用。然而对于不规则波折射绕射问题研究，缓坡方程还处于发展研究阶段，本文采用Ｐａｄｅ近似并仿Ｋｕｂｏ方法对缓坡波动方程进行了推导，得到了一个含有时间高阶导数项的不规则波缓坡方程，随即采用ＷＫＢ方法对这个不规则波的缓坡方程进行了简化，推导出一个较为实用的含有一阶时间导数的不规则波缓坡的波动方程。通过数值手段对所推导的不规则波缓坡方程进行了数值模拟，其结果与物模实验较为一致     

不规则波Boussinesq型方程的造波,消波和反射

对前人提出的造波、消波和反射边方法分析表明,其方法是极浅水波近似,不适用于任意水深的水域,本文就任意水深变化Ｂｏｕｓｓｉｎｅｓｑ型方程,提出了不规则波新的造波原理、方法和消波边界及部分反射边界波动方程,试验表明,本文提出的造波、消波和反射方程有效而可靠的。     

利用波能平衡方程研究波浪折射——绕射的数学模型及数值模拟

波能平衡方程是研究风浪要素及波能传播问题的很有效的方法，计算较为简单，在海洋学及海岸动力学中得到广泛的应用。本文采用考虑波能侧向传递机制和耗损制约的波能平衡方程组作为研究波浪折射——绕射变形的控制方程。对数学模型用差分法进行了数值模拟，并用两个例题进行了验证     

波群的波向线散开因子方程

本文将既适用于平面筒卡尔直角坐标系又适用于球面坐标系的基本式同文献(16)中的波向线方程结合，导出波群的波向线散开因子方程。由此方程解出的散开因子是波群组成波的波要素的函数。据此因子连同浅水系数和摩擦系数就可求得波群的波动强度或波高沿波向线的变化。在一定条件下，所导得的方程便分别化为形同于相应坐标系中单频率波的。所讨论的波群的折射是唯一地由水深变浅所致的。根据线性势论，得到由波数、波向和频率都彼此稍异的两系正弦波迭加而成的简单波群，海洋中的波群虽较这复杂得多，但两者本质上是相同的。故所提方程可作为计算浅水域中波群的折射系数的模式。     

二阶Boussinesq方程的孤立波解

基于同量阶迭代法，在保留同阶面的前提下，对林建国等（1998a)得到的二阶Boussinesq类方程进行了求解，得到了与其量阶相对应的取立波解，并春与Euler方程的二阶孤立波解进行了比较，结果显示，本文解比传统Boussinesq方程的孤立波解有明显的改善，扩大了孤立的适用范围。     

波场非匀质性对波向对变风向响应的影响

本文基于波能平衡方程，通过考虑波的传播项，即，研究波场非匀质性对波向对变风向的响应的影响。导出的结果表明，响应的时间尺度可由３部分表示：１．匀质情形响应的贡献；２．波能分布非匀质性的影响；３．平均波向分布非匀质性的影响。在理论上，它暗示波场的非匀质性在波向响应中起着实质性的作用；在实际情况下，对匀质和平稳风场，波场的非匀质性总是使响应时间尺度减少这一事实进行了讨论。     

波群的波向线散开因子方程

本文将既适用于平面笛卡尔直角坐标系又适用于球面坐标系的基本式同文献[16]中的波向线方程结合,导出波群的波向线散开因子方程。由此方程解出的散开因子是波群组成波的波要素的函数。据此因子连同浅水系数和摩擦系数就可求得波群的波动强度或波高沿波向线的变化。在一定条件下,所导得的方程便分别化为形同于相应坐标系中单频率波的。 所讨论的波群的折射是唯一地由水深变浅所致的。 根据线性势论,得到由波数、波向和频率都彼此稍异的两系正弦波迭加而成的简单波群,海洋中的波群虽较这复杂得多,但两者本质上是相同的。故所提方程可作为计算浅水域中波群的折射系数的模式。     

波场非匀质性对波向对变风向响应的影响

本文基于波能平衡方程，通过考虑波的传播项，即△↓［（Ｃｇ（ｆ，０）Ｅ（ｆ，０）］≠０，研究波场非匀质性对波向对变风向的响应的影响。导出的结果表明，响应的时间尺度可由３部分表示：１．匀质情形响应的贡献；２．波能分布非匀质性的影响；３．平均波向分布非匀质性的影响。在理论上，它暗示波场的非匀质性在波向响应中起着实质性的作用；在实际情况下，对匀匀和平稳风场，波场的非匀质性总是使响应时间尺度减少这一事实进行     

分层流水槽箱内垂荡板式内波造波模拟研究

提出了一种新型内波造波方法——箱内垂荡板式造波.应用FLUENT软件的有限体积法,采用k-ε两方程湍流模型封闭RANS方程作为求解控制方程,建立二维数值内波水槽.通过模仿物理造波机运动的数值模拟结果比较表明:箱内垂荡板式造波机生成的内波与理论解十分吻合,与双板联动式造波和平板拍击式造波相比,控制简单,对自由水面的扰动小...     

近岸波浪传播折射变形的数学模型综述

对研究近岸波浪折射变形的各种数学模型（基本方程和数值方法）进行了较为系统的归纳总结和评述,内容包括线性规则波折射数学模型,非线性规则波折射数学模型,波群折射数学模型,不规则波折射数学模型。     

畸形波传播速度实验和数值模拟研究

畸形波的传播速度是其最重要的特征参数之一。研究畸形波的传播速度有助于深入和全面了解畸形波的生成机理及其演化过程,另外还可以用于畸形波的预报。针对现有关于畸形波传播速度计算方法(高阶Stokes波理论近似估算,Hilbert变换和两固定点的距离除以畸形波的波峰经过两点所用时间)的不准确性和局限性,使用32个测点描述畸形波波峰沿波浪水槽的运动轨迹,再用回归分析法估算波峰运动轨迹与时间的相关关系,从而计算出畸形波的传播速度。基于288组物理模拟畸形波和364组数值模拟畸形波传播速度的计算结果,使用回归分析方法得出了畸形波传播速度的半经验半理论计算公式,同时还分析了畸形波传播速度的强非线性特征。     

畸形波数值模拟和定点生成

采用David L等人提出的数值模拟产生畸形波的方法,以Longuet-Hinggins模型为基础,利用一个基本波列和一个瞬态波列线性叠加模拟波面,在很短的波列中得到畸形波,从而使模拟畸形波的效率提高。得到的畸形波畸形程度较高,并且可以控制畸形波出现的时间和地点。用该方法模拟实测畸形波并与其进行对比验证,结果表明模拟产生的畸形波和实测畸形波吻合良好。以此方法为基础,在实验室内物理产生畸形波将更加具有可操作性。     

数值模拟生成畸形波的一种新方法

通过理论分析和数值模拟,结果证明利用Longuet-Hinggins模型可以得到包含畸形波的随机波列,但在组成波的初相位随机分布的条件下,畸形波发生的概率很低且其畸形程度较小。调整组成波的初相位,增加具有相同初相位的组成波个数,可增大畸形波发生的概率,而且所得畸形波的畸形程度也相应增大。将模拟得到的畸形波与实测畸形波进行了比较,发现它们的波形很相似,表明这种模拟方法是可行有效的。     

深水随机波列中畸形波统计特征的研究

本文基于Longuet-Higgins随机波浪模型和JONSWAP谱,进行了大量深水随机波的模拟,获取了畸形波发生概率稳定的随机波列,并对随机波列中的畸形波进行了分析。结果表明,畸形波发生的概率小于基于Rayleigh分布预测结果,且随谱宽的减小而增大。在固定时间段内,畸形波发生的频次服从泊松分布,时间间隔服从指数分布,且随着谱宽的增大,畸形波的发生频次减小,相邻畸形波的发生时间间隔增加。通过小波变换方法分离随机波中的波群,研究了出现畸形波的波群特征,发现一个波群中最多会出现4个畸形波,但是在发生畸形波的波群中,单个畸形波的概率最大。随着谱宽减小,一个波群中包含多个畸形波的概率增加。另外,出现畸形波的波群时间长度服从广义极值分布,随着谱宽减小,畸形波波群的时间跨度增加。     

An experimental and numerical study of the freak wave speed

The propagation speed is one of the most important characteristics for describing freak waves. The research of freak wave speed is not only helpful for understanding the generation mechanism and evolution process of freak waves, but also applicable to the prediction. A stable and accurate method is proposed for the calculation of the freak wave speed, in which physical model tests are carried out to measure the motion of the largest wave crest along the wave tank. The linear regression relationship between the spatial position of the largest wave crest and instantaneous moment is established to calculate the speed of totally 248 cases of experimental freak waves and 312 supplementary cases of numerical freak waves. Based on the calculate results, a semitheoretical and semiempirical formula is proposed by using a regression analysis method to predict the speed of the freak wave, and the nonlinear characteristic of the freak wave speed is also investigated.     

系泊方柱在畸形波与波群伴生波浪作用下运动响应试验研究

畸形波与波群伴生波浪作用于系泊浮体,和常规随机波浪作用比较,运动响应时频域特征均将发生显著变化。基于物理模型试验,采用小波方法计算伴生波浪和常规随机波浪作用下系泊浮体运动响应的时频域特征变化及波群因子与浮体运动响应时频域特征的定量关系。结果表明:伴生波浪作用下浮体运动响应显著大于常规随机波浪的作用结果,且波群因子G A对浮体运动响应时频域特征有显著影响;伴生波浪作用下浮体纵荡运动的广义能量谱E(t)统计特征值E max(t)、E 1/10(t)、E 1/3(t)、E average(t)均明显大于相同波谱下常规随机波浪的结果,且随着波群因子G A增大显著增大;伴生波浪作用下各运动响应能量集中度δE显著大于常规随机波浪作用结果,且能量集中时域分布范围参数ΔT E以纵荡运动分量最为显著。     

Dynamic Analysis of Turret-Moored FPSO System in Freak Wave

Freak wave is the common wave which has significant wave height and irregular wave shape, and it is easy to damage offshore structure extremely. The FPSOs (Floating Production Storage and Offloading) suffer from the environment loads, including the freak wave. The freak waves were generated based on the improved phase modulation model, and the coupling model of FPSO-SPM (Single Point Mooring) was established by considering internal-turret FPSO and its mooring system. The dynamic response characteristics of both FPSO and SPM affected by the freak wave were analyzed in the time domain. According to the results, the freak waves generated by original phase modulation model mainly affect the 2nd-order wave loads. However, the freak waves which are generated by random frequencies phase modulation model affect both 1st-order and 2nd-order wave loads on FPSO. What is more, compared with the irregular waves, the dynamic responses of mooring system are larger in the freak waves, but its amplitude lags behind the peak of the freak wave.     

Wavelet transform based coherence analysis of freak wave and its impact

The present paper presents the results of a wavelet transform-based coherence analysis of freak wave and its impact. Wavelet transform has been used as a tool in analyzing signals in the time domain as well as in the frequency domain. The analysis was applied to laboratory-generated freak waves. The wavelet transform of the time history of the freak wave and its impact force revealed that a wide range of frequency components were contained in them. The coherence analysis was conducted on the wave and its impact force time histories. The coherence analysis revealed that some high-frequency components were highly correlated with the impact forces. The present study demonstrates that the wavelet transform can be an alternative tool in the analysis of strongly nonlinear freak wave and its impact.     

Analysis of freak wave measurements in the Sea of Japan

This paper presents an analysis of a set of available freak wave measurements gathered from several periods of continuous wave recordings made in the Sea of Japan during 1986–1990 by the Ship Research Institute of Japan. The analysis provides an ideal opportunity to catch a glimpse of the statistics of freak waves in the ocean. The results show that a well-defined freak wave may occur in the developed wind–wave condition: S(f)∝f⁻⁴, with single-peak directional spectra. The crest and trough amplitude distributions of the observed sea waves including freak waves are different from the Rayleigh distribution, although the wave height distribution tends to agree with the Rayleigh distribution. Freak waves can be readily identified from the wavelet spectrum where a strong energy density occurs in the spectrum, and is instantly surged and seemingly carried over to the high-frequency components at the instant the freak wave occurs.     

An efficient focusing model for generation of freak waves

Based on the Longuet-Higgins wave model theory, the previews studies have shown that freak waves can be generated in finite space and time successfully. However, as to generating high nonlinear freak waves, the simulation results will be unrealistic. Therefore, a modified phase modulation method for simulating high nonlinear freak waves was developed. The surface elevations of some wave components at certain time and place are positive by modulating the corresponding random initial phases, then the total surface elevation at the focused point is enhanced and furthermore a freak wave event is generated. The new method can not only make the freak wave occur at certain time and place, but also make the simulated wave surface time series satisfy statistical properties of the realistic sea state and keep identical with the target wave spectrum. This numerical approach is of good precision and high efficiency by the comparisons of the simulated freak waves and the recorded freak waves.