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。     

基于无奇异边界元法模拟三维全非线性液舱晃荡

文章基于全非线性势流理论对三维液舱晃荡进行了数值模拟,其控制方程由无奇异边界积分方程法(Desingular-ized 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样条法来光顺自由面.在微幅水平激励下,该文中得到的结果与解析解吻合较好.     

基于无奇异边界元法模拟三维全非线性液舱晃荡（英文）

文章基于全非线性势流理论对三维液舱晃荡进行了数值模拟,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样条法来光顺自由面。在微幅水平激励下,该文中得到的结果与解析解吻合较好。     

数值波浪水池及顶浪中船舶水动力计算

基于粘流理论建立了三维数值波浪水池,模拟了非线性波浪,并对规则波顶浪中前进的拘束船模的水动力进行了计算.数值模拟中,控制方程-RANS方程和连续性方程使用有限体积法离散,非线性自由面采用VOF方法处理;在入口边界模拟柔性造波板运动产生入射波,使用位于波浪水池尾部的人工阻尼区消波.给出了非线性规则波的模拟结果以及规则波顶浪中前进的拘束船模的水动力计算结果,并与理论解及DUT(Delfi University of Technology)的试验数据进行了比较,二者吻合良好.     

二维浮式结构物与完全非线性波相互作用数值分析

基于粘流理论、流固耦合理论和自由液面追踪技术——VOF(Volume of Fluid)法,以不可压缩流体的连续方程和N-S方程及结构动力学方程为基本控制方程,利用商用软件ANSYS Workbench的二次开发功能,建立了粘性数值波浪水池,数值模拟了完全非线性波的生成,计算分析了二维浮式结构物遭遇波浪的完全非线性现象,得到了甲板上浪水位高度和结构物的纵摇、垂荡、横摇等运动响应。结果表明:文中的方法可以用于波浪与浮式结构物相互作用的完全非线性数值模拟.     

高速三体船波浪中运动与增阻CFD计算研究

基于数值波浪水池技术,对波浪中高速三体船运动及增阻进行CFD计算研究。控制方程—RANS方程和连续性方程使用有限体积法离散,非线性自由面采用VOF方法处理;在入口边界模拟柔性造波板运动产生入射波,使用位于波浪水池尾部的人工阻尼区消波。首先对规则波顶浪中单个主船体的运动和增阻进行了计算,并与高速细长体理论计算结果进行了比较;随后进行了三体船运动和增阻计算,分析了侧片体对主船体阻力增加的影响。为高速三体船耐波性研究提供了数值工具。     

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.     

海上浮式结构物的水动力仿真研究

基于粘性计算流体力学的方法建立三维数值波浪水池,模拟有限振幅波的传播,并计算三维球体在规则波环境下所受的波浪力。采用两相不可压的RANS方程求解非定常不可压缩粘性流体,并采用流体体积函数(VOF)法对自由面进行动态模拟。通过编写用户自定义函数(UDF)设置边界入口速度和波高,实现在波浪水池尾部1~2倍波长区域消波,最终求出有限振幅波的模拟结果以及规则波中三维球体所受的波浪力,该结果与势流理论边界元法得到的结果在趋势上吻合良好。该研究方法为模拟分析其他海洋结构物在波浪中的水动力奠定基础,丰富与扩展了数值波浪水池的应用。     

基于N-S方程的航行船舶辐射问题数值模拟

基于N-S(Navier-Stokes)方程,进行了航行船舶辐射问题的数值模拟,包括强制垂荡和强制纵摇的模拟.计算了船舶垂荡和纵摇的附加质量和阻尼.数值模拟中,控制方程--BANS(Reynolds Averaged Navier-Stokes)方程和连续性方程使用有限体积法离散,非线性自由面采用VOF方法处理.文中给出了以不同航速前进的船舶强制垂荡和纵摇的力与力矩,以及船舶垂荡和纵摇的附加质量系数和阻尼系数,并与DUT(Delft University of Technology)的试验数据进行了比较,二者吻合良好.     

水下航行器的尾流场测试误差分析

采用Realized k-ε湍流模型求解Reynolds平均Navier-Stokes方程,对SUBOFF全附体模型分别在风洞和水池试验条件下的尾部伴流场进行了三维粘性数值模拟,计算结果同试验结果具有很好的一致性,对两种试验条件进行模拟所得的结果是完全一致的,计算结果表明,在风洞和水池进行水下航行器尾流场试验所获得的结果差异主要是由于测试误差引起的.     

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.     

A numerical study of nonlinear wave interaction in regular and irregular seas: irrotational Green–Naghdi model

The irrotational Green–Naghdi model for nonlinear wave propagation in deep water is developed to simulate the irregular sea surface of a given directional wave spectrum. The model is derived from Hamilton's principle with a depthwise approximation to the flow field. The nonlinear boundary conditions are exactly satisfied on the actual free surface, and the continuity equation is satisfied exactly within the fluid domain. The ‘level’ of approximation in the depthwise direction is optimally chosen to simulate a given wave spectrum accurately with minimum computational effort. Several numerical techniques also are introduced to cut the computational cost further. Numerical results for two-dimensional nonlinear waves are presented.     

考虑定常兴波影响的辐射问题去奇Rankine源方法数值计算

随着中高速船舶在海洋资源开发中的广泛应用,航速对船舶在波浪中摇荡运动的影响受到重视。本文基于势流理论,采用非均匀有理B样条(NURBS)表达物面,应用去奇Rankine源方法求解流场速度势;推导了兴波问题的二阶近似非线性自由面边界条件,以及考虑二阶近似非线性兴波影响的辐射速度势的线性自由面和物面边界条件。本文编程首先数值计算了Wigley船型的近似非线性兴波问题,将计算的线性和非线性兴波阻力系数与文献结果做了比较;然后数值计算了计及线性定常兴波影响的下潜圆球有航速辐射问题,将计算的附加质量和阻尼系数与文献结果比较。本文计算结果与文献结果吻合程度较好,验证了本文数值计算方法的有效性。文中还给出了兴波波形和辐射波形。     

波浪与带有窄缝结构作用的非线性数值模拟

针对波浪与带有窄缝结构作用产生的流体共振问题,采用基于域内源造波技术的时域高阶边界元方法并在窄缝内流体引入人工阻尼,建立了自由水面满足完全非线性边界条件的二维时域数值波浪水槽模型。求解中采用混合欧拉-拉格朗日方法追踪流体瞬时水面,运用四阶龙格库塔方法更新下一时间步的波面和速度势,利用加速度势的方法来求得作用结构上的瞬时波浪荷载。通过与已发表文献的数值与实验结果对比,验证了模型的准确性。同时通过大量的数值计算研究了共振条件入射波浪非线性对反射波高、透射波高和窄缝内波高、及结构波浪荷载和压力分布的影响。     

全非线性方法对于沉浸双圆柱定常前行运动引起自由表面流的研究（英文）

The free surface flow generated by twin-cylinders in forced motion submerged beneath the free surface is studied based on the boundary element method. Two relative locations, namely, horizontal and vertical, are examined for the twin cylinders. In both cases, the twin cylinders are starting from rest and ultimately moving with the same constant speed through an accelerating process. Assuming that the fluid is inviscid and incompressible and the flow to be irrotational, the integral Laplace equation can be discretized based on the boundary element method. Fully-nonlinear boundary conditions are satisfied on the unknown free surface and the moving body surface. The free surface is traced by a Lagrangian technique. Regriding and remeshing are applied, which is crucial to quality of the numerical results. Single circular cylinder and elliptical cylinder are calculated by linear method and fully nonlinear method for accuracy checking and then fully nonlinear method is conducted on the twin cylinder cases, respectively. The generated wave elevation and the resultant force are analysed to discuss the influence of the gap between the two cylinders as well as the water depth. It is found that no matter the kind of distribution, when the moving cylinders are close to each other, they suffer hydrodynamic force with large absolute value in the direction of motion. The trend of force varying with the increase of gap can be clearly seen from numerical analysis. The vertically distributed twin cylinders seem to attract with each other while the horizontally distributed twin cylinders are opposite when they are close to each other.     

Three-dimensional numerical wave tank simulations on fully nonlinear wave–current–body interactions

A finite-difference scheme and a marker-and-cell (MAC) method are used for numerical wave tank (NWT) simulations to investigate the characteristics of nonlinear wave motions and their interactions with a stationary three-dimensional body in the presence of steady uniform currents. The Navier–Stokes (NS) equation is solved in the computational domain, and the boundary values are updated at each time-step by a finite-difference time-marching scheme in the frame of a rectangular coordinate system. The fully nonlinear kinematic free-surface condition is satisfied by the marker–density function technique developed for two fluid layers. The incident waves are generated from the inflow boundary by prescribing a velocity profile resembling the motions of a flexible flap wavemaker, and the outgoing waves are numerically dissipated inside an artificial damping zone located at the end of the tank. Using the NS–MAC NWT, nonlinear wave and current interactions around a stationary vertical truncated circular cylinder are studied, and the results are compared with the experimental results of Mercier and Niedzwecki, a time-domain NWT based on linear potential theory, a fully nonlinear NWT, and a second-order diffraction computation. Received: July 3, 2001 / Accepted: September 25, 2001