基于Boussinesq波浪模型的港池波浪数值模拟与泊稳分析

基于Boussinesq方程的MIKE21-BW模型,建立等水深、双突堤式的波浪数值港池,采用不同的波浪入射方向和双突堤口门宽度,分别对波浪经双突堤后的绕射情况进行模拟。根据《港口与航道水文规范》中的计算参数和突堤绕射系数结果,对BW模型进行率定和验证,结果表明二者吻合度较好,可以较好地描述港池的泊稳状况。在此基础上,利用MIKE21-BW模型对秦皇岛某港口防波堤工程的不同布局方案进行模拟计算和泊位稳定性分析,提出了工程设计方案建议。     

双突堤波浪绕射的数学模型

双突堤是常见的一种防波堤布置型式。因此研究双突堤的波浪绕射数学模型和数值计算方法是有理论意义和实用价值的。本文引用数学物理方程中的单源点法,提出了两种双突堤波浪绕射的数学模型。本模型采用线性简谐波理论,假设水深为定值。     

多向不规则波绕射的数值模拟

采用有限元求解Ｂｏｕｓｓｉｎｅｓｑ方程数值计算模型,对单突堤和双突堤的波浪绕射进行了数值模拟,并与物模试验进行对比验证。模拟结果表明入射波浪的方向分布对波浪的绕射具有明显的影响,使防波堤后的波浪增大,开阔区域的浪浪减小,波浪的方向分布对港内波浪的分布具有一定的均化作用。     

双层直立圆弧型防波堤上绕射波浪力的解析计算

基于微幅波绕射理论,应用特征函数展开法,推导了双层直立圆弧型透空防波堤的波浪绕射解析解,从而将已有的比例边界有限元法拓展为解析算法,并据此对外层与内层防波堤所受波浪载荷进行了解析计算。计算结果表明:应用本文方法对直立透空圆环柱的绕射波浪载荷进行验证计算,所得结果与现有的解析解完全吻合,说明方法可靠。双层堤较单层堤能更有效地减弱波浪作用。波浪的入射角度和特征参数、防波堤张角与半径、防波堤透空系数以及水深等因素的相对变化对双层堤的波浪作用均存在一定影响。     

具有任意反射特性楔形堤和隅角堤波浪绕射

本文给出具有不同反射系数(Ro变R_γ)楔形堤或隅角堤波浪绕射一般解析解,其中包括R_0=R_γ和R_0=-R_γ两种情况作为特例。推导出适用于工程应用计算的相应数学模型及计算方法。同时提供单突堤、直线堤及各种隅角堤等情况的计算结果及比较。     

V形防波堤与圆弧型防波堤之浅水波绕射作用的比较

应用椭圆余弦波的绕射理论，推导了V形防波堤的浅水波浪绕射解析解，从而对现有的Airy微幅波理论进行了有效拓展。据此理论对V形防波堤的浅水波绕射作用进行了解析计算，并与几何形状相近的圆弧型防波堤结果加以了对比。结果表明：椭圆余弦波理论计算的V形防波堤最大波浪力和最大绕射波面明显大于微幅波理论的对应值。本方法适用于张角180°的有限长直立薄壁防波堤的浅水波绕射作用计算，从而将无限长直立薄壁堤的反射波理论加以有效拓展。张角同为120°的V形堤与圆弧堤的堤后防浪效果相近，而180°圆弧堤的堤后防浪效果优于张角90°的V形堤。     

港池泊稳的能量平衡方程数值模拟

对基于能量平衡方程的多向随机波浪传播数学模型进行改进,通过模拟不同防波堤绕射引起的港池泊稳,验证模型的合理性和有效性。利用非线性弥散关系提高模型计算浅水变形的精度;采用二次逆风差分格式离散控制方程,避免了加入绕射项引起的数值耗散;并将文氏谱加入模型中,使其更加适合中国海域的工程应用。应用改进后模型绘制的双突堤和岛式防波堤绕射系数图与我国《海港水文规范》图进行了对比。对比结果十分接近,可以较好地描述港池的泊稳状况,为综合计算波浪在近岸的浅水变形、折射、绕射、反射和能量耗散等作用奠定了基础。     

港内波浪要素计算方法研究

为分析不同计算方法在推算港内波要素中的适用性,分别采用JTS 145-2-2013《海港水文规范》计算方法和数学模型计算方法计算了防波堤为单突堤、双突堤和岛式堤三种典型布置型式的港内波浪.将计算结果与物理模型试验结果进行了对比,分析了不同布置型式时3种方法得到的结果之间的差异性,给出了在计算不同防波堤布置型式下的港内波浪要素时上述3种方法的适用程度.     

双浮箱式浮式防波堤消浪性能试验研究

浮式防波堤在港口海岸工程、近海工程、海洋工程和水产养殖等诸多领域有广阔的应用前景。与单浮箱式浮式防波堤相比,多浮箱式浮式防波堤可提高其消浪性能。对双浮箱式浮式防波堤进行了二维波浪物理模型试验,分析了浮箱宽度、前后浮箱连接方式、前后浮箱间距以及浮箱入水深度等因素对浮式防波堤消浪性能的影响。研究结果表明:对于单浮箱式浮式防波堤,试验范围内浮箱宽度增大一倍后消浪效果改善并不相对明显;前后浮箱刚性连接的双浮箱式浮堤的波浪透射系数均小于前后浮箱自由的双浮箱式浮堤和相同浮箱宽度的单浮箱式浮堤,浮堤消浪性能提高;由于前后浮箱相对间距太大时前后浮箱的相互作用减弱,浮堤的波浪反射系数变小,而不同前后浮箱相对间距的波能损耗系数整体上差别较小,双浮箱式浮堤的波浪透射系数整体上随着前后浮箱相对间距D/2B的增大先减小然后变大,在相对间距D/2B为1.0~1.5时双浮箱式浮堤的波浪透射系数相比最小;不同波高和波浪周期下,浮堤的波浪透射系数均随着浮箱相对入水深度的增大而减小。     

浮式防波堤性能理论计算

本文论述了在任意浪向微幅入射波作用下,浮式防波堤性能理论计算。在求解其绕射势和辐射势边值问题后,引入无穷远处波浪速度势渐近表达式,应用波浪能量守恒原理,分别计算出由浮式防波堤横荡、垂荡和横摇运动引起的堤后波和当其被固定时在入射波作用下在堤后所兴起的波浪。最后计算出表达浮式防波堤防波效果的,以堤后波幅值与入射波幅值之比所定义的堤后波系数G_T。 本文对二个计算实例进行了理论计算,结果与试验相比吻合良好。     

Wave reflection from partially perforated-wall caisson breakwater

In 1995, Suh and Park developed a numerical model that computes the reflection of regular waves from a fully perforated-wall caisson breakwater. This paper describes how to apply this model to a partially perforated-wall caisson and irregular waves. To examine the performance of the model, existing experimental data are used for regular waves, while a laboratory experiment is conducted in this study for irregular waves. The numerical model based on a linear wave theory tends to over-predict the reflection coefficient of regular waves as the wave nonlinearity increases, but such an over-prediction is not observed in the case of irregular waves. For both regular and irregular waves, the numerical model slightly over- and under-predicts the reflection coefficients at larger and smaller values, respectively, because the model neglects the evanescent waves near the breakwater.     

波浪反射系数谱的特征分析

应用斜向不规则波反射系数的改进两点法(MTPM),用模型试验研究了混凝土护面堤和块石护面堤波浪反射系数的频率谱和方向谱,结果表明,分析的反射系数随入射波频率的增加、结构坡度的减小和入射角的加大而减小.给出了波浪反射系数频率谱及其随Iribarren数变化的规律,提出了反射系数三维谱的经验公式,由此可定量地描述斜向不规则波的反射系数随无量纲特征参数Iribarren数和入射波角度的变化规律.     

Reflection of irregular waves from perforated-wall caisson breakwaters

An analytical model has been developed that predicts the reflection of irregular waves normally incident upon a perforated-wall caisson breakwater. To examine the predictability of the developed model, laboratory experiments have been conducted for the reflection of irregular waves of various significant wave heights and periods impinging upon breakwaters having various wave chamber widths. For frequency-averaged reflection coefficients, though the overall agreement is fairly good between measurement and calculation, the model somewhat over-predicts the reflection coefficients at larger values, and under-predicts at smaller values. The model also underestimates the energy loss coefficients as wave reflection becomes larger. These differences occur because the model neglects the evanescent waves near the breakwater, which increase the energy loss at the perforated wall. The frequency-averaged reflection coefficient shows a minimum when the wave chamber width is approximately 0.2 times the significant wavelength, and it decreases with increasing wave steepness. Finally, it is shown that the reflection of irregular waves from a perforated-wall caisson breakwater depends on the wave frequency, so that the reflected wave spectrum shows a frequency dependent oscillatory behavior.     

A comparison of several wave spectra for the random wave diffraction by a semi-infinite breakwater

A comparison of the diffraction of multidirectional random waves using several selected wave spectrum models is presented in this paper. Six wave spectrum models, Bretschneider, Pierson–Moskowitz, ISSC, ITTC, Mitsuyasu, and JONSWAP spectrum, are considered. A discrete form for each of the given spectrum models is used to specify the incident wave conditions. Analytical solutions based on both the Fresnel integrals and polynomial approximations of the Fresnel integrals and numerical solutions of a boundary integral approach have been used to obtain the two-dimensional wave diffraction by a semi-infinite breakwater at uniform water depth. The diffraction of random waves is based on the cumulative superposition of linear diffraction solution. The results of predicted random wave diffraction for each of the given spectrum models are compared with those of the published physical model presented by Briggs et al. [1995. Wave diffraction around breakwater. Journal of Waterway, Port, Coastal and Ocean Engineering—ASCE 121(1), 23–35]. Reasonable agreement is obtained in all cases. The effect of the directional spreading function is also examined from the results of the random wave diffraction. Based on these comparisons, the present model for the analysis of various wave spectra is found to be an accurate and efficient tool for predicting the random wave field around a semi-infinite breakwater or inside a harbor of arbitrary geometry in practical applications.     

Computation of Diffraction of Irregular Waves Behind Single Jetty

- This paper presents a calculation method for the diffraction of both regular waves and irregular waves of the single directional frequency spectrum behind a single jetty with a theoretical analysis, which has been confirmed through the model experiments, derives a method of computing the diffracted irregular waves behind the single jetty with the theoretical analysis on the basis of computation of the field data and gives the formulas and the figures of the computation of wave diffractions behind the vertical wall or mound single jetties.     

Numerical Simulation of Sand Shoreline Evolution Under Action of Regular Waves and Irregular Waves

Based on the singleline theory, a numerical simulation is presented to predict the shoreline evolution on sand beach. A parabolic equation of longshore sediment transport and boundary conditions are proposed. The combined effect of wave diffraction and refraction on the shoreline evolution on the downdrift side of the breakwater is taken into account and is calculated using the theory of regular waves and irregular waves. The present model is verified by the field observation data of erosion for half a year on the downdrift side of a harbor, and compared with some experimental results. The numerical results are in good agreement with the field measured and experimental data.     

Experimental study on the performance of the multiple-layer breakwater

Based on the idea of disturbing the water motion in the upright direction, a new kind of multiple-layer breakwater is proposed in this article, which mainly consists of several horizontal plates. The breakwater's performance of dissipating waves has been investigated in detail in the regular wave tests. The factors identified with the characteristics of the breakwater are discussed, such as the relative width, the wave steepness and the models geometrical parameters (the width and the gap). The comparison and analysis of the transmission and reflection coefficients with respect to different factors are presented. The model test results indicate that the multiple-layer breakwater has the good characteristic of dissipating waves. Further more, only in a little extent can it reflect the waves. The multiple-layer breakwater proposed in the paper is very significative to promote the open type breakwater to be the permanent wave attenuator in the application.     

Experimental researches on reflective and transmitting performances of quarter circular breakwater under regular and irregular waves

A series of regular and irregular wave experiments are conducted to study the reflective and transmitting performances of quarter circular breakwater (QCB) in comparison with those of semi-circular breakwater (SCB). Based on regular wave tests, the reflection and transmission characteristics of QCB are analyzed and a few influencing factors are investigated. Then, the wave energy dissipation as wave passing over the breakwater is discussed based on the hydraulic coefficients of QCB and SCB. In irregular wave experiments, the reflection coefficients of QCB and their spectrums are studied. Finally, the comparisons between the experimental results and numerical simulations for QCB under regular and irregular wave conditions are presented.     

Water surface resonance in the L-shaped channel of seawater exchange breakwater

The resonance period of the L-shaped channel in the caisson is predicted analytically for the seawater exchange breakwater of “Applicability Study of the Seawater Exchange Breakwater (1). Korea Ministry of Maritime Affairs and Fisheries (in Korean) (1999a)”. Hydraulic experiments are conducted for a composite breakwater with a rear reservoir that is one of the seawater exchange breakwaters developed by them. For regular waves, the water surface elevation in the channel and the flow rate through the breakwater are measured. For irregular waves, the flow rate through the breakwater and the reflection coefficient on the breakwater are measured. The resonant maximum values in both the surface elevation and the flow rate, and the resonant minimum values in the reflection coefficient are all at wave periods slightly longer than analytically predicted ones. The measured resonance period for irregular waves is closer to the predicted one than for regular waves. If the resonance period of the L-shaped channel is fitted to the dominant period of incident waves, there would be high efficiency of seawater exchange between inside and outside the harbor.     

多方向不规则波传播变形数值模拟

在推广的缓坡方程数学模型基础上建立了多方向不规则波数学模型,综合考虑了波浪折射、绕射、反射、底摩擦和风能输入等因素。基于线性波浪理论,将波浪方向谱在频率和方向上按等能量分割法离散后,分别计算各组成波的传播变形,再计算合成波要素。缓坡方程数学模型采用改进的ADI法求解,计算效率高,稳定性好。采用椭圆形浅滩不规则波模型试验结果和单突堤不规则波绕射理论解对数学模型进行了验证,数值模拟结果和试验值及理论解符合良好。利用该模型进行了某港港内波浪折射、绕射和反射的联合数值模拟,给出了合理的港内波高分布。