Parameters in wind-wave frequency spectra and their bearings on spectrum forms and growth

The spectrum variance m0, peak frequency ω0 and peakness factor p are expressed in terms of nondimensional fetch and duration by making use of relations which are derived through comparing and analyzing existing empirical formulas for the growth of significant wave height and period. The main features of spectrum growth as specified by these parameters agree with those of the JONS-WAP experiments. For given wind speed and fetch, the high frequency parts beyond the peaks of shallow water spectra almost coincide with that of the corresponding deep water spectrum, whereas the low frequency parts differ appreciably. The method developed in this paper predicts smaller significant wave height as well as smaller wave period for shallow water spectra in contrast to the theoretical result of Kitaigorodskii ef al, in which the peak frequency, and consequently the significant wave period, remains basically unchanged for different water depths. Spectra are further reduced to a form in which only significant wave height and period are left as parameters, the peakness factor being replaced by the wave steepness through an empirical relation between them. Spectra in this form have been verified by observations.

Dependence of sea surface drag coefficient on wind-wave parameters

The relationships between sea surface roughness z 0 and wind-wave parameters are analyzed,and spurious self-correlations are found in all of the parameterization schemes.Sea surface drag coefficient C D is fitted by four wind-wave parameters that are wave age,wave steepness,windsea Reynolds number R B and R H ,and the analyzed data are divided into laboratory,field and combined data sets respectively.Comparison and analysis of dependence of C D on wind-wave parameters show that R B can fit the C D most appropriately.Wave age and wave steepness are not suitable to fit C D with a narrow range data set.When the value of wave age has a board range,R H is not suitable to fit C D either.Three relationships between C D and R B are integrated into the bulk algorithm COARE to calculate the observational friction velocity,and the results show that the relationship between C D and R B which is fitted with field data set can describe the momentum transfer in the open ocean,under low-moderate wind speed condition,most appropriately.

Examination of wind-wave interaction source term in WAVEWATCH Ⅲ with tropical cyclone wind forcing

Results of drag coefficient（CD） from field observations and laboratory wave tank experiments indicate that the operational wave model can overestimate wind energy input under high wind conditions. The wind-wave interaction source term in WAVEWATCH Ⅲ has been modified to examine its behavior with tropical cyclone wind forcing. Using high resolution wind input,numerical experiments under idealized wind field and tropical cyclone Bonnie（1998） were designed to evaluate performance of the modified models. Both experiments indicate that the modified models with reduced CD significantly decrease wind energy input into the wave model and then simulate lower significant wave height（SWH） than the original model. However,the effects on spatial distribution of SWH,mean wavelength,mean wave direction,and directional wave spectra are insignificant. Due to the reduced wind energy input,the idealized experiment shows that the modified models simulate lower SWH than the original model in all four quadrants. The decrease in the front quadrants is significantly larger than that in the rear quadrants;it is larger under higher winds than lower winds. The realistic experiment on tropical cyclone Bonnie shows that the modified model with the various downward trends of CD in high winds creates a simulation that agrees best with scanning radar altimeter observations.

A proposed directional function and wind-wave directional spectrum

A directional function for frequencies equal to and larger than the peak frequency of a wind-wave frequency spectrum is constructed by fitting the angular spreading based on the analytically derived directional spectrum of Wen et al. (1993, Journal of Oceanography, 49(2), 131～147, 149～172). For frequencies smaller than the peak frequency, the directional function is obtained by comparing and analyzing existing formulas. The nondimensional wind-wave frequency spectrum of Wen et al. (1994, Progress in Natural Seience, 4(4). 407～427;4 (5), 586～596) has been used together with the directional function just mentioned to obtain the directional spectrum for easier application.

EFFECT OF WATER DEPTH ON WIND-WAVE FREQUENCY SPECTRUM Ⅱ. VERIFICATION AND COMPARISON

The spectrum derived in Part 1 of the presert paper is here systematically verified with field data andcompared at some length with that obtained by multiplying the deep-water spectrum with theKitaigorodskii factor.

EFFECT OF WATER DEPTH ON WIND-WAVE FREQUENCY SPECTRUM I. SPECTRAL FORM

Wen et al.'s method developed to obtain wind-wave frequency spectrum in deep water was used to derive the spectrum in finite depth water. The spectrum S(ω) (ω being angular frequency) when normalized with the zeroth moment m0 and peak frequency ω0, contains in addition to the peakness factor P= ω0S(ω0)/m0, a depth parameter ω= (2πm0)1/2/d (d being water depth), so the spectrum behavior can be studied for different wave growth stages and water depths.

Effects of Wind-Wave Misalignment on a Wind Turbine Blade Mating Process:Impact Velocities,Blade Root Damages and Structural Safety Assessment

Most wind turbine blades are assembled piece-by-piece onto the hub of a monopile-type offshore wind turbine using jack-up crane vessels.Despite the stable foundation of the lifting cranes,the mating process exhibits substantial relative responses amidst blade root and hub.These relative motions are combined effects of wave-induced monopile motions and wind-induced blade root motions,which can cause impact loads at the blade root’s guide pin in the course of alignment procedure.Environmental parameters including the wind-wave misalignments play an important role for the safety of the installation tasks and govern the impact scenarios.The present study investigates the effects of wind-wave misalignments on the blade root mating process on a monopile-type offshore wind turbine.The dynamic responses including the impact velocities between root and hub in selected wind-wave misalignment conditions are investigated using multibody simulations.Furthermore,based on a finite element study,different impact-induced failure modes at the blade root for sideways and head-on impact scenarios,developed due to wind-wave misalignment conditions,are investigated.Finally,based on extreme value analyses of critical responses,safe domain for the mating task under different wind-wave misalignments is compared.The results show that although misaligned wind-wave conditions develop substantial relative motions between root and hub,aligned wind-wave conditions induce largest impact velocities and develop critical failure modes at a relatively low threshold velocity of impact.

Overtopping Discharge of Wind-Waves on Simple Slope Dikes

An empirical formula for estimating the overtopping discharge of wind-waves on a smooth-impermeable-simple slope dyke is derived through model tests in this paper, it can be adopted by related design departments in the determination of the crest elevation of the dyke.

Spectral Characteristics of Wind-Waves in Laboratory

Spectral characteristics of wind-generated waves in labortaory are presented on the basis of a systematic measurement in a large-scale wind-wave channel and compared with those in the field. A marked characteristics of the measured spetra is the existence of secondary spectrum-peak. The dependence of spectral peak-frequency, peak-value and zeroth-order moment on wind speed and fetch are presented and found roughly similar to those in the field represented by the JONSWAP spectrum, regardless of the differences in coefficient. The spectral slope beta at high-frequencies are found somewhat greater than those of field wind-waves in both cases of deep and shallow waters. Except for the low-frequency part, the spectral forms measured in different wind conditions are similar and fit for the JONSWAP spectrum with gamma = 6 and beta = 5.5. Some relevant problems are discussed.

Uncertainty Analysis of Wind-Wave Predictions in Lake Michigan

With all the improvement in wave and hydrodynamics numerical models, the question rises in our mind that how the accuracy of the forcing functions and their input can affect the results. In this paper, a commonly used numerical third-generation wave model, SWAN is applied to predict waves in Lake Michigan. Wind data are analyzed to determine wind variation frequency over Lake Michigan. Wave predictions uncertainty due to wind local effects are compared during a period where wind has a fairly constant speed and direction over the northern and southern basins. The study shows that despite model calibration in Lake Michigan area, the model deficiency arises from ignoring wind effects in small scales. Wave prediction also emphasizes that small scale turbulence in meteorological forces can increase prediction errors by 38%. Wave frequency and coherence analysis show that both models can predict the wave variation time scale with the same accuracy. Insufficient number of meteorological stations can result in neglecting local wind effects and discrepancies in current predictions. The uncertainty of wave numerical models due to input uncertainties and model principals should be taken into account for design risk factors.

EMCO-based Optimal Layout Design of Hybrid Wind-wave Energy Converters Array

Marine renewable energy,combining wave energy converters(WECs)and floating wind turbines(FWTs)into hybrid wave-wind energy converters(HWWECs),garners significant global interest.HWWECs offer potential cost reductions,increased power generation,and enhanced system stability.The absorption power of high wind energy sites is primarily influenced by the complex hydrodynamic interactions among floating bodies,which are closely related to the location and wind-wave environment of high wind energy sites.To delve into the positive interactions among HWWECs,this paper proposes a HWWEC array optimization strategy based on the artificial ecosystem opti-mization-manta ray foraging optimization coordinated op-timizer(EMCO).In EMCO,the decomposition operator of artificial ecosystem optimization(AEO)and the flip-ping-dipper foraging operator of manta ray foraging opti-mization coordinated(MRFO)cooperate dynamically to effectively balance local exploitation and global exploration.To validate the effectiveness of EMCO,experiments were conducted in scenarios with 3,5,8,and 20 HWWECs,and compared with five typical algorithms.Experimental results demonstrate the existence of multiple optimal solutions for HWWEC arrays.EMCO achieves maximum total absorp-tion power and exhibits good stability.Notably,EMCO en-hances the q-factor values of HWWECs across four scales:1.0478,1.0586,1.0612,and 0.9965,respectively.Index Terms—Marine renewable energy,hybrid wind-wave energy converter,layout optimization,coordinating optimizer.

Simulation-based study of wind-wave interactions under various sea conditions

Despite their importance in the ocean environment,the key physical processes in wind-wave interactions are poorly understood.Using a solver developed for undulatory boundaries,we perform numerical simulations of the wind-wave system under various sea conditions,including wind over monochromatic waves,early wind-wave generation,and wind over a broadband wave field.Our results show that the wave direction and wave age can significantly change the distribution of streamwise vorticity in the wind field.Different wave patterns are observed in the process of wind-wave generation.In a broadband wave field,the wave growth rate due to wind input is found to depend on the wave steepness.

Wind-wave induced dynamic response analysis for motions and mooring loads of a spar-type offshore floating wind turbine

Due to the energy crisis and the environmental issues like pollution and global warming, the exploration for renewable and clean energies becomes crucial. The offshore floating wind turbines（OFWTs） draw a great deal of attention recently as a means to exploit the steadier and stronger wind resources available in deep water seas. This paper studies the hydrodynamic characteristics of a spar-type wind turbine known as the OC3-Hywind concept and the dynamic responses of the turbine. Response characteristics of motions and mooring loads of the system under different sea states are evaluated and the effects of the loads induced by the wind and the wave on the system are discussed. The calculations are carried out with the numerical simulation code FAST in the time domain and the frequency analysis is made by using the FFT method. The results and the conclusions from this paper might help better understand the behavior characteristics of the floating wind turbine system under actual ocean environments and provide valuable data in design and engineering practice.

COMPUTATIONS OF WIND-WAVE COUPLING

We present numerical computations of a new wind-wave coupling theory that is governed by a system of nonlinear advance-delay differential equations (NLADDE). NLADDE are functional differential equations for which the derivative of an unknown function depends nonlinearly on the past (delayed), present, and future (advanced) values of the unknown function (if time is the independent variable). A practical numerical method for solving NLADDE is implemented, based on a collocation method. The method is tested for two problems with known analytic solutions and is shown to be numerically convergent. Numerical solutions to the coupled wind and wave problem reveal estimates of the wave height spectrum, the distribution of breaking waves (both depend on wave scale), as well as the vertical air-side profiles of turbulent stress and wind speed.

风浪流耦合作用下锚泊式海上试验平台的水动力特性试验

为了研究国家海洋试验场的“国海试1”平台与锚泊优化方案是否满足设计要求,采用物理模型试验方法,制作1∶30试验平台模型,在国家海洋技术中心海洋动力环境实验室开展百余组不同波高、波周期、波向的不规则波、定常风和等效均匀流联合作用下,两点式躺地链系泊状态下的模型运动响应研究。对比分析试验结果与对应试验平台的设计指标,结果表明:同样海况下,风浪与潮流同向时,试验平台的运动响应更剧烈;流速1.14 m/s、4级海况时,试验平台最大横摇角为10.41°,“国海试1”平台无法开展正常的吊装工作;流速1.14m/s、6级海况时,试验平台最大横摇角为15.07°,“国海试1”平台搭载的试验测试设备无法正常工作;流速1.14 m/s、8级海况时,试验平台最大横摇角为20.21°,平台存在安全隐患,应采取避险措施;“国海试1”满足抗7级风浪的设计要求。该研究成果验证了改进后的国家海洋综合试验场“国海试1”平台满足抗7级海况的设计要求。因此,建议“国海试1”平台在6级海况下应停止试验作业,8级海况下应采取必要的避险措施。该研究为同类新型海洋平台水动力研究提供了参考。

基于微阵列波能装置的半潜式风浪联合系统运动与获能研究

为实现海上风浪资源的高效利用,以Windfloat型风力机平台为基础,结合摇臂式波能装置,建立联合获能系统数值模型,并分析了波周期、PTO(powertake-off)阻尼、浮子直径及摇臂长度等关键参数对联合系统运动与获能的影响。研究发现,随波周期的增大,平台运动幅度整体呈增大趋势,装置获能先增大后减小;随PTO阻尼的增大,平台纵荡、纵摇运动幅度逐渐减小,垂荡运动幅度及装置获能先增大后减小;随浮子直径、摇臂长度的增大,平台纵荡运动幅度逐渐减小、垂荡、纵摇运动幅度逐渐增大,装置获能随浮子直径的增大而增大,随摇臂长度的增大先增大后减小。

波浪荷载下海上风力机桩基础滞回效应及水平承载力变化特性研究

该研究以海上风电桩基础为研究对象,采用自主设计的水平加载装置模拟波浪荷载,结合粒子图像测速(PIV)技术开展缩尺模型试验。着重探究不同幅值的波浪荷载加载过程中,桩周土体的循环变形特征及加载前后,海上风力机桩基础水平承载能力变化。试验结果表明:桩顶累积转角随加载次数呈线性增长、缓慢增长和稳定发展的三阶段变化特性;桩周土体呈现典型的刚性桩两区域破坏形式,桩右被动区土体位移矢量场和位移云图影响范围受加载幅值变化影响显著;桩顶循环加载荷载位移曲线表现出明显的滞回性,滞回圈随加载次数右移并产生累积位移。伴随着滞回圈面积减小和割线刚度增大,桩周土体由以塑性变形向弹性变形为主导变化;循环加载后的滞回圈有明显捏缩,耗能能力减弱。桩基础水平承载能力及弹性变形能力较加载前均明显提高。

山东半岛附近海域风、浪能资源联合评估

采用ERA5风场驱动第三代浅海海浪数值模式(SWAN),构建山东半岛附近海域波浪模型,得到30 a同步风浪数据,对海上风能和波浪能进行联合评估。评估分析海上风能和波浪能的能源潜力、稳定性及两种资源的相关性、互补性,可为未来风浪资源联合开发提供依据。研究结果表明,该海域风能和波浪能资源丰富,有明显的季节变化特征,冬季资源最为丰富且稳定性较高。两种资源在近岸海域的互补性更强,在渤海西部和黄海北部的近岸海域相关性相对较低,具有更高的联合开发潜力。

海上浮式光伏结构及其水动力问题研究展望

淡水水体的浮式光伏发电技术弥补了传统陆基光伏的部分缺陷,在近十年的时间里得到快速发展,与此同时,将浮式光伏技术应用于海洋环境成为了各国学者面临的重要命题。海上环境不同于陆地,在同等光照条件下,海面开阔,日照时间长、辐射量高等优势使得海上光伏项目的光照利用效率更高,发电量可以得到显著提升,但是如何保证海上光伏在极端自然环境下的生存是该项目未来能否实施的最大挑战。首先概述了浮式光伏系统的发展历程,分析了各类浮式结构的形式、特点及其对海洋环境的适用性;然后针对不同结构形式和不同锚泊形式的海上浮式光伏结构,重点围绕其在遭受波浪和风荷载情况下可能遇到的水动力问题和结构强度问题,从设计可行性的角度分析了国内外学者针对相关结构的一些研究成果;最后提出海上浮式光伏系统未来可能的发展方向。

随机风-浪联合传播数值模拟及分析

海洋风、浪往往同时传播,同步传播过程中风、浪之间具有显著的相互耦合作用。针对海洋脉动风和随机波浪同步传播的数值仿真需求,基于程序开发平台MATLAB和计算流体动力学(computational fluid dynamics,CFD)软件平台Fluent,提出了一种随机风场和随机波浪联合传播数值模拟方法,基于该数值方法构建了随机风-浪联合传播数值水槽,并对该数值水槽单独随机风、单独随机波浪以及随机风-浪联合传播的数值模拟效果进行了试算和验证分析。结果显示该水槽数值模拟脉动风速与对应理论计算风速相吻合,水槽数值模拟随机波浪与对应理论计算随机波浪相吻合,水槽风-浪联合数值模拟显示了风、浪之间显著耦合作用效应。建立的随机风-浪联合数值水槽在随机风和随机波浪同步传播的数值仿真上具备可靠性及可应用性。研究内容为海上风、浪环境要素耦合效应研究及海洋工程结构风-浪联合作用相关研究提供了平台基础。