不规则波中二阶辐射问题时域数值模拟

能够有效地模拟不规则波中非线性的波物相互作用是深海工程领域一直关心的热点问题,因此有必要采用时域理论对不规则波中非线性的波物相互作用进行研究和分析。对自由面和物面条件进行Taylor 级数和Stokes摄动展开得到一阶和二阶边值问题。使用基于Rankine源的边界元法计算每一时刻的流场,并在自由面上采用积分格式的自由面条件;在远方控制面上采用多次透射边界条件以及其耦合阻尼区的边界条件;对做不规则垂荡运动的截断圆柱所受到的水动力进行了时域数值模拟。结果表明：文中方法可以用于时域研究不规则波中的二阶问题,在人工边界处达到无反射的效果。     

无奇异边界元法核心控制参数收敛性分析

本文采用时域方法对三维波物相互作用问题进行了研究和分析。在该方法中,将采用无奇异边界元法(Desingularized Boundary Integral Equation Method,DBIEM)来计算每个时间步长上的流场分布情况,在自由面上满足线性自由面条件,远方辐射边界上满足水波透射器条件。文中首先详细描述了DBIEM方法的实施过程,其次对其核心控制参数进行了收敛性分析,并将得到的结果与参考文献中的结果进行了比对。结果表明,文中模型可有效模拟水波与简单形状结构物的相互作用问题。     

基于多次透射公式和无奇异边界元法模拟全非线性数值波浪水池

文章基于势流理论对全非线性的三维数值水池进行了模拟,其控制方程由无奇异边界积分方程法(Desingularized Boundary Integral Equation Method,DBIEM)进行离散求解,在求解全非线性的自由面微分方程时,文中采用混合欧拉—拉格朗日法(Mixed Eulerian-Lagrangian,MEL)和四阶Adams-Bashforth-Moulton(ABM4)预报—修正方法,为了避免结果发散即增强数值稳定性,文中采用B样条法来光顺波面.同时,在远方辐射控制面上采用多次透射公式方法(Multi-transmitting Formula,MTF)来进行消波,文中得到的结果与理论解进行了比较,结果表明该方法可用来有效模拟全非线性的数值波浪水池.     

SPAR平台在波浪中运动的时域预报方法

在船舶与波浪相互作用时的三维预报方法的基础上,发展了SPAR平台与规则波相互作用的时域数值预报方法,该方法计入了SPAR平台垂荡和纵摇阻尼效应。使用该方法对一经典SPAR平台进行了规则波中的时域数值模拟。通过计算分析可以看出,该方法能捕捉SPAR平台在临界波浪周期下的耦合运动,验证了该方法的可靠性。     

基于多次透射公式和无奇异边界元法模拟全非线性数值波浪水池（英文）

文章基于势流理论对全非线性的三维数值水池进行了模拟,其控制方程由无奇异边界积分方程法(Desingularized Boundary Integral Equation Method,DBIEM)进行离散求解,在求解全非线性的自由面微分方程时,文中采用混合欧拉—拉格朗日法(Mixed Eulerian-Lagrangian,MEL)和四阶Adams-Bashforth-Moulton(ABM4)预报—修正方法,为了避免结果发散即增强数值稳定性,文中采用B样条法来光顺波面。同时,在远方辐射控制面上采用多次透射公式方法(Multitransmitting Formula,MTF)来进行消波,文中得到的结果与理论解进行了比较,结果表明该方法可用来有效模拟全非线性的数值波浪水池。     

基于重叠网格方法的船舶迎浪增阻与运动数值预报

基于粘性流CFD软件建立了三维数值波浪水池,并对带舵的KCS船模在静水和5个不同波长的规则波中航行进行数值模拟。文中采用入口处模拟波速的方法造波,消波方法运用强迫消波技术(Wave Forcing),并利用VOF方法追踪自由波面的变化,在数值水池中成功模拟了波浪的生成与传播;最后结合重叠网格方法对KCS船模迎浪增阻与运动响应进行数值计算,并将计算结果与试验数据进行对比分析,吻合良好,为今后准确预报舰船在波浪中的增阻和运动响应提供参考。     

基于三维时域混合源法的顶浪 不规则波参数横摇研究

国际海事组织(IMO)船舶设计建造分委会(SDC)第4次会议把参数横摇稳性直接评估提上议程,如何准确预报和评估不规则波中的参数横摇是亟待解决的问题。文章提出采用一种三维时域面元法进行不规则波中参数横摇的预报和评估,该方法首先采用混合源法,即在内域采用Rankine源,在外域采用瞬态的时域Green函数,该混合源法充分考虑了船体的定常和非定常运动,以及定常运动对非定常运动的影响;其次考虑了船体与不规则波浪的瞬时相对位置,沿船体瞬时湿表面进行压力积分求解Froude-Krylov力和静水力;然后通过时域求解垂荡—纵摇—横摇三自由度耦合方程计算参数横摇。文中以国际标模C11集装箱船为研究对象,研究了不同随机波浪谱下参数横摇的发生规律,进行了统计分析,并通过已有的试验结果验证了文中采用方法的有效性。结果表明,该文采用的三维时域面元法可有效用于顶浪不规则波中参数横摇的直接数值预报。     

近自由面三维水翼的水动力分析及试验研究

采用面元法对近自由面三维水翼进行势流数值分析并进行了相关试验研究。在数值计算中,将Rankine源和偶极子置于边界面上,用时间步进法模拟水翼的势流场和自由表面波形。在自由面采用非线性自由面边界条件,在尾涡面上采用偶极子布置以满足Kutta条件。文中给出了数值计算模型的参数,对于不同浸深、不同航速和不同攻角下的水翼,计算了水翼表面上的压力分布,水翼的阻力和升力及自由表面波形。数值计算结果与试验结果进行了对比。结果表明,文中方法可用于水翼优化设计、近自由面振动翼运动及水翼船兴波等问题的研究。     

直接边界元法时域全非线性兴波计算

文章在时域中采用直接边界元的方法计算模拟了以稳定航速运动的近水面潜体全非线性兴波现象.从格林定理出发,在边界面上布置Rankine源和偶极子,采用时间步进的方法计算模拟潜体近自由面运动的兴波现象.每个时步自由面上的势和节点位置采用全非线性拉格朗日自由面边界条件求解,重新生成自由面网格准备下一个时步计算的初始条件.文中给出了数值计算的结果并与试验和线性计算的结果相比,证实了该方法是可靠的,并可以利用该方法建立数值波浪水池.     

近自由面三维水翼的水动力时域分析

基于格林定理,将Bankine源和偶极子置于边界面上,用时间步进法计算了近自由面条件下的三维水翼的势流场.其中在自由面采用线性自由面边界条件,在尾涡面上采用偶极子布置以满足Kutta条件.影响系数中的奇异积分及非奇异积分都采用一种精确积分的方法计算.文中确定了计算模型和参数,给出了不同航速、展长及浸深下的数值计算结果,并与相关文献结果进行了对比,证实了该方法是一种可靠、有效的时域算法.     

Analysis of unsteady flow over Offshore Wind Turbine in combination with different types of foundations

Environmental effects have an important influence on Offshore Wind Turbine (OWT) power generation efficiency and the structural stability of such turbines. In this study, we use an in-house Boundary Element (BEM)—panMARE code—to simulate the unsteady flow behavior of a full OWT with various combinations of aerodynamic and hydrodynamic loads in the time domain. This code is implemented to simulate potential flows for different applications and is based on a three-dimensional first-order panel method. Three different OWT configurations consisting of a generic 5 MW NREL rotor with three different types of foundations (Monopile, Tripod, and Jacket) are investigated. These three configurations are analyzed using the RANSE solver which is carried out using ANSYS CFX for validating the corresponding results. The simulations are performed under the same environmental atmospheric wind shear and rotor angular velocity, and the wave properties are wave height of 4 m and wave period of 7.16 s. In the present work, wave environmental effects were investigated firstly for the two solvers, and good agreement is achieved. Moreover, pressure distribution in each OWT case is presented, including detailed information about local flow fields. The time history of the forces at inflow direction and its moments around the mudline at each OWT part are presented in a dimensionless form with respect to the mean value of the last three loads and the moment amplitudes obtained from the BEM code, where the contribution of rotor force is lower in the tripod case and higher in the jacket case and the calculated hydrodynamic load that effect on jacket foundation type is lower than other two cases.     

三体船连接桥结构波浪载荷研究

根据三体船船型简要分析连接桥结构波浪诱导的剖面载荷特征。以三维势流理论为基础,应用简单格林函数法对三体船在波浪中运动与载荷的时历进行仿真计算,并将时域结果转换为频域,之后对航行于北大西洋的三体船的连接桥波浪载荷进行长期预报,最终探索三体船连接桥纵向剖面的各载荷分布规律和趋势。     

三维完全非线性波浪水槽的数值模拟

用有限元求解拉普拉斯方程,采用满足完全非线性自由表面条件的半拉格朗日法追踪流体自由表面,离散单元采用20节点的六面体二次等参数单元,建立了三维完全非线性数值波浪水槽.把数值计算结果与水面初始升高产生箱体内流体运动解析解和二阶斯托克波理论解进行了对比,结果表明该模型是稳定的、守恒的,能精确模拟非线性波浪的产生和传播,为今后研究非线性波浪对船舶等非规则物体的作用提供了参考.     

Time-domain simulation for water wave radiation by floating structures （Part A）

Direct time-domain simulation of floating structures has advantages： it can calculate wave pressure fields and forces directly; and it is useful for coupled analysis of floating structures with a mooring system. A time-domain boundary integral equation method is presented to simulate three-dimensional water wave radiation problems. A stable form of the integration free-surface boundary condition （IFBC） is used to update velocity potentials on the free surface. A multi-transmitting formula （MTF） method with an artificial speed is introduced to the artificial radiation boundary （ARB）. The method was applied to simulate a semi-spherical liquefied natural gas （LNG） carrier and a semi-submersible undergoing specified harmonic motion. Numerical parameters such as the form of the ARB, and the time and space discretization related to this method are discussed. It was found that a good agreement can be obtained when artificial speed is between 0.6 and 1.6 times the phase velocity of water waves in the MTF method. A simulation can be done for a long period of time by this method without problems of instability, and the method is also accurate and computationally efficient.     

时域中的潜体兴波研究

从格林定理出发,在边界面上布置Rankine源和偶极子,在时域中用时间步进法计算模拟了潜体近自由面运动的兴波现象,构建了一种处理兴波问题的计算模型.文中详细介绍了这种方法的理论推导和计算过程,并通过试算确定了适当的模型参数.通过对多个参数的变化调整,讨论了它们对潜体兴波阻力和波形变化的影响.大量的数值试验和与试验数据的比较,证实了该法作为三维数值波浪水池的一个支撑模型是可行、可靠的.     

不规则波对方箱浮式防波堤作用的数值模拟

采用线性波浪叠加法对不规则波进行数值模拟,采用时域边界元法对不规则波作用下的方箱浮式防波堤进行数值模拟。首先验证了不规则波的数值模拟的准确性,进而对不规则波作用下固定方箱浮式防波堤的受力进行数值模拟,并与规则波结果进行比较。结果表明不规则波作用下,单位宽度方箱垂向受力最大值要大于水平受力的最大值;与规则波情况相比,方箱的水平向受力变化幅度减小,垂向受力和横摇力矩则幅值增加。     

深水平台上层模块海上吊装多浮体响应分析

海上吊装操作是平台海上安装作业中的重要一步,深海吊装操作面临着恶劣海况的考验。对于海上吊装操作过程中的多浮体相互干扰运动,采用了时域数值纽马克方法求解,选定JONSWAP风浪谱进行随机海况模拟。重点研究了不同浪向组合对多浮体运动响应的影响,提出安全作业浪向。在安全海况下进行了不同风速影响的研究,提出安全作业的风速范围。在安全作业海况下进行了吊装操作模拟,证实吊装操作能平稳进行,对海上吊装操作安全顺利进行具有重要意义。     

A second order volume of fluid （VOF） scheme for numerical simulation of 2-D breaking waves

Among all environmental forces acting on ocean structures and marine vessels, those resulting from wave impacts are likely to yield the highest loads. Being highly nonlinear, transient and complex, a theoretical analysis of their impact would be impossible without numerical simulations. In this paper, a pressure-split two-stage numerical algorithm is proposed based on Volume Of Fluid (VOF) methodology. The algorithm is characterized by introduction of two pressures at each half and full cycle time step, and thus it is a second-order accurate algorithm in time. A simplified second-order Godunov-type solver is used for the continuity equations. The method is applied to simulation of breaking waves in a 2-D water tank, and a qualitative comparison with experimental photo observations is made. Quite consistent results are observed between simulations and experiments. Commercially available software and Boundary Integral Method (BIM) have also been used to simulate the same problem. The results from present code and BIM are in good agreement with respect to breaking location and timing, while the results obtained from the commercial software which is only first-order accurate in time has clearly showed a temporal and spatial lag, verifying the need to use a higher order numerical scheme.     

波浪补偿稳定平台运动响应位移测量数据处理方法研究

针对波浪补偿稳定平台随船运动响应的特点，采用基于FFT时频转换的频域积分方法，结合Hilbert变换处理随船低频加速度信号积分的问题。试验结果表明，该方法可以有效实现测量信号的积分变换，为波浪补偿稳定平台的位移补偿提供有效的支持。     

Numerical simulation of the solitary wave interacting with an elastic structure using MPS-FEM coupled method

Fluid-Structure Interaction (FSI) caused by fluid impacting onto a flexible structure commonly occurs in naval architecture and ocean engineering. Research on the problem of wave-structure interaction is important to ensure the safety of offshore structures. This paper presents the Moving Particle Semi-implicit and Finite Element Coupled Method (MPS-FEM) to simulate FSI problems. The Moving Particle Semi-implicit (MPS) method is used to calculate the fluid domain, while the Finite Element Method (FEM) is used to address the structure domain. The scheme for the coupling of MPS and FEM is introduced first. Then, numerical validation and convergent study are performed to verify the accuracy of the solver for solitary wave generation and FSI problems. The interaction between the solitary wave and an elastic structure is investigated by using the MPS-FEM coupled method.