有限水深中零航速浮体波浪力计算奇点积分的数值处理方法

使用三维源汇分布法Ⅲ计算有限水深中零航速浮体所受到的波浪力,对两种不同形式的格林函数中所共同存在的奇点问题分别进行了处理。公式推导表明,使用级数形式的格林函数可以使计算更加快捷。最后,对不同尺度的圆柱体进行了验算,在对计算结果与解析解进行了比较之后,工程计算也证明选择格林函数级数计算公式是更令人满意的方案。     

两层流体中矩形箱浮体的附加质量和阻尼系数

研究了两层流体中矩形箱浮体的辐射问题。基于特征函数匹配理论,针对矩形箱浮体的三种振荡运动模式(横荡、垂荡和横摇),建立两层流体中矩形箱浮体辐射势的求解方法,导出矩形箱浮体附加质量和阻尼系数的计算公式。对所建立的求解模型进行了数值计算分析,结果表明在矩形箱浮体的某个振荡频率范围内,流体的分层效应对其附加质量和阻尼系数有显著影响的。     

两层流体中多个圆柱浮体波浪力的解析方法

采用解析方法研究了线性入射波作用下两层流体中多个圆柱形淹没浮体的渡浪力特性.首先基于多极子展开方法,建立了散射势函数的解析表达式,并进一步得到浮体散射渡浪力的计算公式,然后利用边界元方法验证了本文的解析解,最后分析了不同参数的变化对双圆柱形浮体结构波浪力的特有影响.     

分层流体中细长体波浪力的数值计算

利用边界元法计算了层化流体中细长体受到的一阶垂荡波浪力和一阶纵摇波浪力矩，计算了近水面细长体的波浪力及力矩，与水池实验结果相吻合。     

系泊船非线性波浪力时域计算:二维模型

为找到具有工程实用价值的港口系泊船波浪力的时域计算方法,建立了在港口中存在系泊船时非线性波浪力时域计算的垂直二维耦合模型:用Boussinesq方程计算船的两侧的外域,用欧拉方程计算船底面下的内域,两域在交界面处的连接条件是流量连续和压力相等.将复平面内的边界元方法应用于所研究问题,对耦合模型进行了验证.进行了相关模型实验,实验结果与数值计算结果比较表明这两种数值计算模型都具有满意的精度,但耦合模型的计算效率要远远高于边界元方法的计算效率.本耦合模型的数学处理简单,可适用于工程计算.     

有航速浮体时域分析的混合边界元法

给出了一种联合瞬态格林函数和Rankine源进行有航速浮体时域水动力分析的混合——边界元方法。在三维混合边界元方法中,通过一个匹配面将流体域划分为内域和外域,在内域中使用Rankine源以模拟直壁或非直壁船体及线性或非线性自由面条件,在外域中使用瞬态格林函数以满足自由面条件和远方辐射条件。使用该方法计算了一个有航速潜没圆球的波浪力,和解析结果的比较证明了该方法的正确性。进一步给出了一个有航速Wigley船的水动力结果,计算结果稳定,没有外传波向内反射的现象发生。     

无限水深下波浪与二维水面物体作用的简单格林函数方法

针对无限水深下波浪与二维水面物体相互作用问题,传统的波浪格林函数形式复杂、计算缓慢,为了提高计算效率和计算精度,将流域分为物体周围的内域及远离物体的外域,内域采用简单格林函数法,外域采用多极子展开方法,通过内外域边界匹配,耦合求解得到流域中任意一点的速度势,并可计算物体在波浪作用下的波浪激振力、附加质量、辐射阻尼及透射和反射系数。应用该方法计算了二维水面漂浮半圆和水面漂浮方箱的算例,数值计算结果表明,该方法可以方便、准确、快速地计算无限水深下波浪与任意漂浮物体的作用问题。     

关于分层流体中非波导情况下的波荷载

针对分层流体中非波导情况的荷载问题,就密度剖面为两间断分层和三层模式的情况,分别利用势流理论解析解和分段构造的垂向结构方程解,得出了对应波场的速度和作用于垂直桩柱上的荷载分布.结果表明,非波导情况下的波场具有与波导情况及表面水波情况所不同的特性.由于波频较高,其所形成的荷载比波导情况为大,而且在流场内部存在大的波力和切向速度间断.     

波浪问题中唯一可解的高阶边界元方法

本文就波浪与结构物相互作用问题，提出了一个适用于高阶边界元应用的新的积分方程，并利用修改积分区域的方法得了适用于本积分方程的不规则频率消除方法。最后，通过数值计算对附加区域的选择、单元的离散做了研究     

超大型浮体水弹性分析的平板格林函数法

采用Eatock Taylor ＆ Ohkusu提出的一种矩形平板的挠度格林函数进行超大型浮式结构物在波浪中的水弹性响应分析，计算结果与试验结果比较，相当吻合，证实此平板挠度格林函数可以用于超大型浮式结构物的水弹性分析。     

两层流体中内孤立波与潜体相互作用数值模拟

提出基于双推板的内孤立波数值造波方法,对两层流体中内孤立波与潜体的相互作用进行了数值模拟,分析不同潜深下潜体所受的内孤立波载荷特性.结果表明,内孤立波对水下潜体的载荷作用是不可忽视的.特别地,当潜体位于内孤立波中时,其所受的垂向力要远比潜体位于内孤立波下时的大.     

两层流体中振荡水平圆柱潜体水动力特性

研究了有限深两层流体中水平圆柱潜体的振荡辐射问题。在线性势流理论框架内,建立求解辐射势的多极展开理论,提出附加质量和阻尼系数的计算方法,进行了数值计算分析,并且与均匀流中的情况进行比较。结果表明,在圆柱潜体的某个振荡频率范围内,流体的分层效应对其附加质量和阻尼系数是有重要影响的。同时,对水平圆柱潜体振荡产生的自由面和内界面波动特性进行了数值分析。     

An analysis of second-order wave forces on floating bodies by using a higher-order boundary element method

The wave diffraction and radiation problem is studied numerically by using a higher-order boundary element method. The convergence of the higher-order boundary element method is tested systematically for bodies of different shapes. For the second-order force, particular attention is paid to the contribution of the second-order potential, following the line of Molin's approach. For numerical evaluation, the free surface is divided into three subregions; inner, intermediate and outer ones. In the inner region, the integral is evaluated numerically by using higher-order boundary elements. In the intermediate region, semi-analytic form is constructed with the help of eigen functions. In the outer domain, the analytic solution is available. This subdivision scheme reduces the numerical burden remarkably.     

两层流体中多个振荡水平圆柱潜体水动力特性

采用解析方法研究了无限水深两层流体中多个振荡水平圆柱潜体的水动力特性。在线性势流理论框架内,基于多极子方法建立了辐射势的解析表达式,在此基础上导出了附加质量和阻尼系数的计算公式,采用边界元方法对这种解析方法进行验证,同时研究了两种不同工况下多个振荡水平圆柱潜体水动力的特性,结果表明,两层流体的密度比、圆柱的淹没深度以及圆柱的排列方式和间距等参数的变化对水平圆柱群附加质量和阻尼系数有很大的影响。     

有限深两层流体内孤立波非线性数值模拟入口边界条件研究

基于有限深两层流体KdV(Korteweg-de Vries)、eKdV(extended KdV)和MCC(Miyata-Choi-Camassa)理论,以内孤立波诱导上下层深度平均水平速度为入口边界条件,采用理想流体完全非线性欧拉方程,建立了两层流体中内孤立波生成的CFD(Computational Fluid Dynamics)数值模拟方法。以系列数值模拟结果为依据,结合内孤立波非线性和色散参数的组合条件,给出了选择合适内孤立波理论解作为CFD数值模拟入口边界条件的方法,从而实现了振幅与波形可控的内孤立波完全非线性数值模拟。     

Green functions with pulsating sources in a two-layer fluid of finite depth

The derivation of Green function in a two-layer fluid model has been treated in different ways.In a two-layer fluid with the upper layer having a free surface,there exist two modes of waves propagating due to the free surface and the interface.This paper is concerned with the derivation of Green functions in the three dimensional case of a stationary source oscillating.The source point is located either in the upper or lower part of a two-layer fluid of finite depth.The derivation is carried out by the method of singularities.This method has an advantage in that it involves representing the potential as a sum of singularities or multipoles placed within any structures being present.Furthermore,experience shows that the systems of equations resulted from using a singularity method possess excellent convergence characteristics and only a few equations are needed to obtain accurate numerical results.Validation is done by showing that the derived two-layer Green function can be reduced to that of a single layer of finite depth or that the upper Green function coincides with that of the lower,for each case.The effect of the density on the internal waves is demonstrated.Also,it is shown how the surface and internal wave amplitudes are compared for both the wave modes.The fluid in this case is considered to be inviscid and incompressible and the flow is irrotational.     

Analysis of wave induced drift forces acting on a submerged sphere in finite water depth

A solution is presented for the wave induced drift forces acting on a submerged sphere in a finite water depth based on linearised velocity potential theory. In order to obtain the velocity potential, use has been made of multipole expansions in terms of an infinite series of Legendre functions with unknown coefficients. The series expression for the second order mean forces (drift forces) is provided by integrating the fluid pressure over the body surface. The horizontal drift force is also expressed by a series solution obtained using the far-field method.     

分层流体中内孤立波在潜浮式竖直薄板上透射和反射

采用边缘层理论研究了两层流体系统中内孤立波在潜浮式竖直薄板上的透射和反射问题,提出了非线性演化方程的“初值”条件,分析了内孤立波与薄板非线性相互作用的效应。研究表明:流体层的密度比以及薄板伸入上下层的深度对于反射和透射波结构具有显著的影响,薄板伸入下层越深、密度差越小,则薄板阻碍孤立波透射的效率越高;透射波通常演化为单峰孤立波和迅速衰减的尾波,反射波演化为缓慢衰减的尾波列;对于具有小密度差的跃层结构,内孤立波在潜浮式竖直薄板上的透射及其演化近乎是无障碍的。     

Fully nonlinear 3D interaction of bubble dynamics and a submerged or floating structure

This paper is concerned with the interaction of bubbles, a submerged or floating structure, and free surface waves. A three-dimensional fully nonlinear model has been developed based on the coupling of the boundary integral method (BIM) for bubble dynamics and free surface waves and the finite element method for structure deformation. The present method is well validated by comparing the numerical results with the experimental data. Three structure characteristics, including fixed, rigidly moving and flexible, are investigated separately to determine their influence on bubble dynamics. For a free-floating structure, the free surface causes not only a larger reduction in peak pressure for a rigid structure compared with a fixed body but also the modification of the bubble period and structural response. The interaction between a bubble and a flexible structure, in the absence of a free surface, is simulated. Both the rigid motion and the deformation at the local structure appear in the simulation. The effect of the structural thickness on the reduction in peak pressure is also considered.