The hydrodynamic forces acting on a cylinder array oscillating in waves and current

The problem of the interaction of multiple cylinders oscillating in waves and slow current is considered. The interaction is represented by waves emitted from adjacent cylinders towards the cylinder under consideration. Wave drift forces and moment in the horizontal plane are calculated by the far-field method based on the conservation of momentum or angular momentum. A semianalytical formula for the calculation of the wave drift damping is then deduced. The conservation of the integrals in these formulae is proved. Special treatments to improve the accuracy of results are discussed. Comparisons between calculated results and experimental measurements are made, showing satisfactory agreement. Effects of various combinations of current direction and incident wave angle on the wave drift damping and damping moment are also examined.     

Numerical investigations into the influence of geometric configurations on hydrodynamic characteristics of torpedo anchors

Torpedo anchors are an innovative and cost-effective technology in marine foundation engineering; however, there is a lack of systematic and comprehensive studies on the influence of torpedo anchor geometry on its hydrodynamic characteristics, especially the effect of anchor fin configuration on the hydrodynamic characteristics is rarely reported in the existing literature. Therefore, this study investigates the influence of geometric characteristics of both finless and finned torpedo anchors on their terminal velocity, drag coefficient and installation directional stability in water through CFD numerical analysis in a systematical manner. The considered geometric characteristics include the center of gravity position, shape and angle of anchor tip, shaft and fin aspect ratio, fin number, fin thickness, fin shape, fin position and fin area. Based on the obtained numerical results, some practical design recommendations and impact weighting charts of different anchor geometric factors are provided, which enables a quick qualitative and quantitative assessment of torpedo anchors. In addition, a simple weight-based approach for estimation of terminal velocity and drag coefficient of torpedo anchors considering multiple geometric configuration factors is proposed, which may provide some reference and scientific guidance for experimental and engineering design of torpedo anchors.     

Experimental investigation on hydrodynamics of floating cylinder in oscillatory and steady flows by forced oscillation test

In this paper the hydrodynamic characteristics of a floating cylinder are investigated via forced oscillation experiments in towing tank. The effects of Keulegan–Carpenter number, Reynolds number, reduced velocity and overtopping on hydrodynamics of the floating cylinder in oscillatory and steady flow are studied. The results show a considerably difference of the hydrodynamic characters between the floating and the fully immerged cylinders due to the influences of free surface. The growth of the reduced velocity, a proven notable effect on hydrodynamics, will lead to the increase of added mass coefficient and the decrease of drag coefficient. Meanwhile the overtopping, a particular phenomenon for the floating cylinder, render the added mass coefficients reach up to 3.6 while for the drag coefficient small influences were made.     

Experimental study on the wave-induced dynamic response and hydrodynamic characteristics of a submerged floating tunnel with elastically truncated boundary condition

Hydrodynamic load and motion response are the first considerations in the structural design of a submerged floating tunnel (SFT). Currently, most of the relevant studies have been based on a two-dimensional model test with a fixed or fully free boundary condition, which inhibits a deep investigation of the hydrodynamic characteristics with an elastic constraint. As a result, a series of difficulties exist in the structural design and analysis of an SFT. In this study, an SFT model with a one-degree-of-freedom vertical elastically truncated boundary condition was established to investigate the motion response and hydrodynamic characteristics of the tube under the wave action. The effect of several typical hydrodynamic parameters, such as the buoyancy-weight ratio, γ, the relative frequency, f/f_N, the Keulegan–Carpenter (KC) number, the reduced velocity, U_r, the Reynolds number, Re, and the generalized Ursell_s number, on the motion characteristics of the tube, were selectively analyzed, and the reverse feedback mechanism from the tube's motion response to the hydrodynamic loads was confirmed. Finally, the critical hydrodynamic parameters corresponding to the maximum motion response at different values of γ were obtained, and a formula for calculating the hydrodynamic load parameters of the SFT in the motion state was established. The main conclusions of this study are as follows: (i) Under the wave action, the motion of the SFT shows an apparent nonlinearity, which is mainly caused by the intensive interaction between the tube and its surrounding water particles, as well as the nonlinearity of the wave. (ii) The relative displacement of the tube first increases and then decreases with increasing values of f/f_N, U_r, KC number, Re, and the generalized Ursell_s number. (iii) γ is inversely proportional to the maximum relative displacement of the tube and the wave force on the tube in its motion direction. (iv) Under the motion boundary condition (as opposed to the fixed boundary condition), the peak frequency of the wave force on the SFT in its motion direction decreases and approaches the natural vibration frequency of the tube, whereas the wave force perpendicular to the motion direction increases. When the incident wave frequency is close to the natural vibration frequency of the tube, the tube resonates easily, leading to an increased wave force in the motion direction. (v) If the velocity in the Morison equation is substituted by the water particle velocity measured when the tube is at its equilibrium position, the inertia coefficient in the motion direction of the tube is linearly related to its displacement, whereas that in the direction perpendicular to the motion direction is logarithmically related to its displacement.     

叶轮级数对一种潮流水轮机水动力性能的影响研究

为了进一步提高潮流能水轮机叶轮的能量捕获性能(获能效率),对一种多级获能潮流水轮机叶轮进行了研究。利用ANSYS16.0 中的CFX流体仿真模块对一种潮流水轮机的叶轮级数进行了数值计算,对不同级数的叶轮进行水动力性能模拟,考察一、二、三级叶轮在不同流速下呈现的速度、压力分布以及流场压差变化情况,并通过样机实验进行了验证。结果表明,叶轮级数的增加可以提高轮机对水流能量的捕获性能;就各个流速工况下的整体获能系数而言,三级叶轮最佳,但启动性能有所下降,三级叶轮启动流速在0.75m/s左右;三级叶轮的最优水速在1.5m/s左右,理想状态下获能效率可达51%上下。     

Prediction method of hydrodynamic forces acting on the hull of a blunt-body ship in the even keel condition

The mathematical modeling group (MMG) model is well known and is widely used in the field of ship maneuverability. However, the MMG model can be applied only after determination of the hydrodynamic coefficients either from comprehensive captive model tests or from general empirical data. Around the cruising speed, when a ship's drift angle is relatively small, several methods have been developed to predict hydrodynamic coefficients from the ship's principal particulars, e.g., Kijima's method. Kijima's method is efficient in predicting the ship's maneuverability at the initial design stage and is even able to assess the effect of changes in stern design. Similarly, for the low speed range when a ship's drift angle is relatively large, several methods for predicting the ship's hydrodynamic coefficients have been proposed, based on captive model tests, such as those by Kose, Kobayashi, and Yumuro. However, most of the methods developed for low speeds cannot be applied to general ship types without additional experiments being performed. In contrast, Karasuno's method uses theoretical and empirical approaches to predict the hydrodynamic forces, even for large drift motions. Although Karasuno's model utilizes the ship's principal particulars and is applicable to a general vessel, it has not been widely used. This is because the form of Karasuno's model is relatively complicated and its accuracy around the cruising speed is less than that for other methods that have been specifically developed for the cruising speed range. A practical method for predicting hydrodynamic forces for the entire operating speed range of blunt-body ships is proposed in this article. It is based on the MMG model and predicts hydrodynamic coefficients based on a ship's principal particulars. A regression model for the proposed method has also been proposed by analyzing 21 different blunt-body ships. Finally, simulations of a very large 4-m crude carrier (VLCC) model using the proposed method were carried out and the results compared with free-running experiments (both at the cruising speed and at low speeds) to validate the efficacy of the model.     

Hydrodynamic forces on a two-dimensional multihull structure in waves: application of the scattering matrix theory

The diffraction and radiation problems of a two dimensional multihull structure were investigated by application of the scattering matrix theory. The scattering matrix theory is widely used to analyze wave interaction problems in various scientific fields. The research is focused on the zeros of the wave exciting force near resonance, which occurs both in the diffraction problem and the radiation problem. At the zeros of the wave exciting force, the wave exciting force for the overall structure is zero, but each demihull undergoes wave excitation. At near-resonant frequencies, the amplitude of the traveling wave between adjacent demihulls becomes very large and the demihulls experience very large wave forces. A number of simple equations for representing the hydrodynamic properties of the multihull structure at the zeros and near-resonant frequencies are obtained. Numerical examples show that these simple equations well explain the hydrodynamic forces and the wave system in the spaces between the demihulls.     

某海港码头结构耐久性调查与分析

对华东地区建于90年代服役11年的某海港码头的构件力学性能、耐久性等进行了现场调查与分析。调查结果表明:构件混凝土的力学性能和保护层厚度基本满足设计要求,但构件混凝土电阻率较低,存在氯盐腐蚀的可能性,构件的表面已出现了锈斑,产生了氯盐腐蚀现象;构件的游离氯离子浓度与总氯离子浓度存在相关性,游离氯离子浓度计算的扩散系数小于总氯离子计算的扩散系数;随着高程的增加,构件的表面氯离子浓度具有降低的趋势;构件混凝土抗氯盐侵蚀性能存在一定的差别。调研结果可为进一步制定有关海港工程混凝土耐久性标准提供参考。     

Assessment of uncertainty in the CFD simulation of the wave-induced loads on a vertical cylinder

The paper addresses different uncertainty analysis methods commonly used for uncertainty quantification in Computational Fluid Dynamics (CFD) studies and compares a constant Courant–Friedrichs–Lewy (CFL) number based approach for uncertainty estimation to the ITTC recommended grid and time-independent procedures. Four different uncertainty estimation procedures are presented and discussed. To compare their performance and better understand CFD related uncertainty quantification in wave load simulations on offshore structures, the methods are applied to a case study of the wave loads on a fixed vertical cylinder. The numerical or CFD wave tank is generated using the open-source CFD toolkit OpenFOAM. Uncertainty is assessed for the case study using four different uncertainty estimation procedures for verification and later, validation is attempted by comparing the CFD results with experiments. The study concludes that a constant CFL number based uncertainty study provides more stable results and is better suited for uncertainty estimation in CFD than the ITTC recommended individual grid and time step uncertainty study.     

海流条件下中性缆缆形及张力的理论研究

文章考虑缆绳经受的法向与切向流体阻力,在自然坐标系下推导了任意海流中缆绳的动力学方程。建立了中性缆在均匀、线性及组合海流作用下缆形与张力的参数表达式。参数表达式给出了对应海流作用下缆形及张力的物理规律,从而为参数迭代求解时迅速收敛指明了数学途径。自行编制程序,算例的定量结果进一步验证了其物理规律,也表明在长缆绳下,忽略切向阻力在工程上是不合适的。     

风浪流作用下单船艏艉锚泊允许波高的试验研究

研究风浪、浪流和风浪流联合作用对275HP拖网渔船单船艏艉双锚锚泊时锚泊力和运动量的影响。试验结果表明,风浪作用下的锚泊力和横摇角度均大于纯浪作用的情况;流速小于1.0 m/s时浪流作用下的锚泊力大于纯浪作用的情况,而横摇角度则略小于纯浪作用的结果;风浪流联合作用下的艏艉拉力均大于风浪或浪流作用下的拉力值。由于渔船艏艉受风和受流面积的区别,导致艏拉力时流的影响较大,而艉拉力时则风的影响较大。由于流作用时渔船具有的初始横摇角度对其运动具有抑制,从而风浪流联合作用时的横摇角度要略低于风浪作用下的角度值。在本次试验范围内,当港内同时有10级左右风和小于1.0 m/s流速的流共同作用时,建议允许有效波高取0.6 m比较合适。     

舟山钓梁二期围垦工程潮流泥沙数值分析

通过建立平面二维潮流泥沙数学模型并采用实测资料对模型进行验证,模拟了钓梁二期围垦工程南堤实施前后的潮流场,分析了围垦南堤建设后对螺门码头附近海域潮流的影响及冲淤变化情况。研究结果表明:围垦南堤的实施使得码头群东侧海区流速减小较明显。围垦南堤实施后钓梁湾内海域整体呈现淤积状态,平均淤积强度在0.8 m/a左右,码头前沿海域平均淤积强度约为1.1 m/a。     

前进速度对细长体在水中横向振动的影响(英文)

In this paper, the effects of forward speed on the lateral vibration of a slender structure in an infinite fluid are considered. By equating the bending stress of the structure with the hydrodynamic force acting on it, the equation which governs the fluid-structure interaction of a slender structure both vibrating and moving in water is obtained. Numerical results show that the influence of forward speed on the vibration of a slender structure in water is significant. It behaves like damping, reducing both natural frequencies and responses significantly.     

长江口北槽航槽开挖对水流及河势的影响*

基于试验数据和实测地形,初步分析了航槽开挖对长江口北槽水流及河势的影响.结果表明:1)12.5 m航槽开挖引起北槽主槽尤其航槽内流速显著增加;2)在计算北槽航槽开挖后槽内流速时,乐培九公式计算结果吻合较好;3)12.5 m航槽开挖对北槽河势变化产生显著影响,是引起2009年以后北槽河势显著变化的一个主要原因,因此在分析评价长江口深水航道以及其它相关的航道整治工程治理效果时,应充分考虑航槽开挖所带来的影响.     

Modelling the effects of physical–biological interactions and spatial variability in spawning and nursery areas on transport and retention of sardine Sardinops sagax eggs and larvae in the southern Benguela ecosystem

A particle-tracking individual-based model (IBM) coupled with a 3-D hydrodynamic model was used to investigate how spatial variability in spawning and nursery grounds may influence transport and retention of sardine (Sardinops sagax) eggs and larvae in the southern Benguela ecosystem. A temperature-dependent Bělehrádek development model based on laboratory growth data was used to determine the duration of one egg and two larval stages. Successful transport/retention depended on each particle's stage of development rather than its age. Results show that recruitment could occur in two distinct nursery areas on the west and south coasts of South Africa. Three viable recruitment ‘systems’ were identified: two are retention-based (spawned and retained on the west coast (WC–WC) or the south coast (SC–SC)) and one is transport-based (spawned on the south coast and transported to the west coast (SC–WC)). In the WC–WC system, the vertical distribution of eggs influenced retention; at intermediate depths of spawning (25–50 m) eggs avoided both offshore Ekman drift and deep cold water. In the SC–SC system, the area of spawning was important; > 50% of eggs from the eastern Agulhas Bank (EAB) were retained in the south coast nursery grounds, whereas very few eggs were transported there from west of Cape Agulhas. In the SC–WC system, area of spawning was also important; 40% of the eggs spawned on the western Agulhas Bank (WAB) were transported to the west coast nursery ground. Sardine life history strategy could be divided between two main systems: the west coast system (spawning on the WAB and WC, and recruiting to the WC) and the Agulhas Bank system (spawning on the central and eastern Agulhas Bank, and recruiting to the SC).     

自升式钻井平台结构动力响应研究与等效建模要点讨论

随着油气开采作业水深的不断增加,自升式平台的动力敏感性愈发明显,对其进行结构动力响应研究十分有必要,而结构动力响应研究的重点在于平台固有周期的计算。以某400英尺自升式钻井平台为研究对象,分析并探讨了平台结构动力响应的计算方法,重点对平台等效建模中的关键要点进行了讨论与总结,并提出新的观点。以此为依据,基于SESAM GeniE软件进行建模,计算了平台的一阶固有周期,与基本设计数据进行对比,验证了建模中关键点处理的正确性,可为自升式平台的结构动力响应研究提供参考。     

A study on the estimation of the seaquake response of a floating structure considering the characteristics of seismic wave propagation in the ground and the water

 Seaquakes, which are characterized by the propagation of vertical earthquake motion at the sea bottom as a compression (longitudinal) wave, are reported to cause damage to ships, and their effect on floating structures is a matter of great concern. To comprehend the basic properties of seaquakes, we first discuss a method to calculate the displacement of the seabed when it is subjected to hydrodynamic pressure. To investigate the interrelationship between the vibration of a floating structure and the deformation of the seabed, a new boundary integral equation is derived which assumes that the seabed is a semiinfinite homogeneous elastic solid in order to analyze the seaquake-induced hydrodynamic pressure acting on the floating structure. By considering the propagation of the seismic wave in the ground and in the water, the incident wave potential in seaquake problems is also deduced and its characteristics are discussed. Finally, the response of a very large floating structure in a seaquake is investigated using a fluid force analysis method, and considering the interrelationship between the vibration of the floating structure and the deformation of the seabed. Received: August 19, 2002 / Accepted: November 11, 2002 Address correspondence to: H. Takamura (hiroaki_takamura@nishimatsu.co.jp) Updated from the Japanese original, which won the 2002 SNAJ prize (J Soc Nav Archit Jpn 2001;189:87–92,93–100 and 190:381–386)     

Effect of surface roughness and initial gap on the vortex-induced vibrations of a freely vibrating cylinder in the vicinity of a plane wall

We studied the effects of the surface roughness and initial gap on the responses of vortex-induced vibration (VIV) of a circular cylinder near a stationary plane wall, employing numerical methods. The VIV response amplitudes, lock-in regions, hydrodynamic forces, VIV trajectories and flow fields for three different surface roughnesses and two different initial gaps were systematically compared. The results reveal that the reduced velocity range can be divided into three regions based on the VIV amplitude as pre-lock-in, lock-in, and post-lock-in regions. The width of the lock-in region is not sensitive to the variation of the roughness. The mean drag coefficient has a decreasing tendency with the increased roughness. For a small initial gap, the clockwise wall boundary layer vortices has coalesced with the clockwise vortices shed from the upper side of the cylinder, which further suppresses the shedding of the counter-clock wise vortices from the lower side of the cylinder. The vortex shedding flow pattern displays a weak 2S mode. However, for a large initial gap, there is no coalescing action operating in the wake region and hence most of the vortex shedding flow patterns show an asymmetric 2S mode.     

Comparative measurements on the flow structure of a marine propeller wake between an open free surface and closed surface flows

In order to investigate the effects of a free surface on the wake behind a rotating propeller, experiments were carried out in a circulating water channel for two cases: one with an open free surface and one with a closed free surface covered by a rigid plate. Four hundred instantaneous velocity fields were measured using a two-frame particle image velocimetry (PIV) technique at four different blade phases. These were ensemble-averaged to investigate the time-averaged flow structure in the near-wake region. For a surface ship, the flow behind the propeller is influenced by the hull wake and the free surface. The phase-averaged mean velocity fields show the potential wake and the viscous wake formed by the boundary layers developed on the blade surfaces. The interaction between the bilge vortices and the incoming flow along the ship’s hull deforms the wake structure. Tip vortices are generated periodically, and the slipstream contraction occurs in the near-wake region. The free surface was found to affect the axial velocity component and vortex structure behind the propeller. As the flow goes downstream, the tip and trailing vortices dissipate due to turbulent diffusion and active mixing with adjacent vortices.