Level-set法预报液舱内剧烈晃荡引起的冲击压强

基于Level-set法就部分装载液体的液舱内剧烈晃荡引起的冲击压强进行了二维数值计算.为了模拟大幅晃荡引起的冲击压强,重点对数值计算较为敏感的自山液面处的物性参数、初始化方程的求解等进行了,数值处理.通过对某一矩形液舱内的液体晃荡的计算,得到了自由表而位置和压强的时间历经曲线.计算结果同实验值的比较表明:本方法可以用于计算预报大幅晃荡引起的载荷.     

Two-dimensional numerical simulation and experiment on strongly nonlinear wave–body interactions

A constrained interpolation profile (CIP)-based Cartesian grid method for strongly nonlinear wave–body interaction problems is presented and validated by a newly designed experiment, which is performed in a two-dimensional wave channel. In the experiment, a floating body that has a rectangular section shape is used. A superstructure is installed on the deck and a small floating-body freeboard is adopted in order to easily obtain water-on-deck phenomena. A forced oscillation test in heave and a wave–body interaction test are carried out. The numerical simulation is performed by the CIP-based Cartesian grid method, which is described in this paper. The CIP scheme is applied in the Cartesian grid-based flow solver. New improvements of the method include an interface-capturing method that applies the tangent of hyperbola for interface capturing (THINC) scheme and a virtual particle method for the floating body. The efficiency of the THINC scheme is shown by a dam-breaking computation. Numerical simulations on the experimental problem for both the forced oscillation test and the wave–body interaction test are carried out, and the results are compared to the measurements. All of the comparisons are reasonably good. It is shown, based on the numerical examples, that the present CIP-based Cartesian grid method is an accurate and efficient method for predicting strongly nonlinear wave–body interactions.     

液舱内大幅晃荡引起的压强预报

本文基于流体体积(VOF)法就部分装载液体的液舱内的晃荡压强进行了二维数值计算.为了模拟大幅晃荡引起的冲击压强,重点对数值计算较为敏感的速度边界条件进行了数值处理.通过对某一矩形液舱内的液体晃荡的计算,得到了自由表面位置和压强的时间历经曲线.计算结果同实验值的比较显示:本方法可以用于计算预报大幅晃荡引起的载荷.     

二维矩形弹性液舱内液体晃荡数值模拟研究

阐述ADINA数学模型及相关数值方法,以二维矩形刚性液舱模型为例模拟液体晃荡,将所得的结果与解析解进行比较,验证该模型的有效性;通过数值模拟,研究二维矩形弹性液舱内的液体晃荡,分析不同刚度、不同频率对液体晃荡自由液面波高运动的影响。     

液舱内三维液体非线性晃荡的数值模拟

晃荡是一种非常复杂的非线性液体流动现象,载液船舶的晃荡问题颇受关注,因为在外界的激励下液舱内会产生剧烈的晃荡现象,巨大的晃荡冲击力会造成结构的破坏.文中建立了三维晃荡数学模型及数值计算模型,借助处理自由表面的VOF(volume of fluid)方法对液舱内液体晃荡的自由表面进行追踪,编制程序实现了液舱内三维液体非线性晃荡的数值模拟,并就三维刚性液舱内粘性液体的自由晃荡和强迫晃荡做了分析,讨论了液体不同粘性系数对晃荡的影响.模拟结果证明了三维晃荡理论的可行性.     

液舱晃荡的数值模拟

随着海上液化天然气的开采和卸载的发展,LNG船部分充满液舱的晃荡问题变得非常重要,成为一个重要的研究课题.文章采用VOF法对部分充满液舱的晃荡进行了数值模拟.结合动网格技术,针对二维矩形舱和三维立方体舱及薄膜型舱进行了计算.并将相关的横向力、波高和压力曲线与试验结果作对比,吻合较好.验证了此法的可行性和有效性.     

多种激励耦合作用下的二维液舱晃荡(英文)

In this research,liquid sloshing behavior in a 2-D rectangular tank was simulated using ANSYS-FLUENT software subject to single or multiple-coupled external excitations(such as sway coupled with roll,and sway and roll coupled with heave).The volume of fluid(VOF) method was used to track the free surface of sloshing.External excitation was imposed through the motion of the tank by using the dynamic mesh technique.The study shows that if the tank is subjected to multiple coupled excitations and resonant excitation frequencies,liquid sloshing will become violent and sloshing loads,including impact on the top wall,will be intensified.     

A coupled FDM–FEM method for free surface flow interaction with thin elastic plate

A partitioned approach by the coupling finite difference method (FDM) and the finite element method (FEM) is developed for simulating the interaction between free surface flow and a thin elastic plate. The FDM, in which the constraint interpolation profile method is applied, is used for solving the flow field in a regular fixed Cartesian grid, and the tangent of the hyperbola for interface capturing with the slope weighting scheme is used for capturing free surface. The FEM is used for solving structural deformation of the thin plate. A conservative momentum-exchange method, based on the immersed boundary method, is adopted to couple the FDM and the FEM. Background grid resolution of the thin plate in a regular fixed Cartesian grid is important to the computational accuracy by using this method. A virtual structure method is proposed to improve the background grid resolution of the thin plate. Both of the flow solver and the structural solver are carefully tested and extensive validations of the coupled FDM–FEM method are carried out on a benchmark experiment, a rolling tank sloshing with a thin elastic plate.     

液舱内不同结构形式对晃荡的影响分析

采用光滑粒子水动力学法( SPH)对二维晃荡问题进行了计算和分析.研究了“I”型和“T”型2种结构形式对矩形液舱内液体晃荡的抑制效果.通过对不同隔板尺寸的对比研究,得到了隔板高度和宽度对晃荡的影响作用.数值分析结果表明,“I”型和“T”型种防晃结构在高度为水深的60％～80％时具有很好的防晃效果.对于“T”型防晃结构,...     

考虑晃荡耦合船舶运动的晃荡压力算法（英文）

The effect of coupling between sloshing and ship motions in the evaluation of slosh-induced interior pressures is studied. The coupling between sloshing loads and ship motions is modelled through a hybrid algorithm which combines a potential flow solution based on transient Green function for the external ship hydrodynamics with a viscous flow solution based on a multiphase interface capturing volume of fluid(VOF) technique for the interior sloshing motion. The coupled algorithm accounts for full nonlinear slosh forces while the external forces on the hull are determined through a blended scheme of linear radiationdiffraction with nonlinear Froude-Krylov and restoring forces. Consideration of this level of nonlinearities in ship motions is found to have non-negligible effects on the slosh-coupled responses and slosh-induced loads. A scheme is devised to evaluate the statistical measure of the pressures through long-duration simulation studies in extreme irregular waves. It is found that coupling significantly influences the tank interior pressures, and the differences in the pressures between coupled and uncoupled cases can be as much as 100% or more. To determine the RAO over the frequency range needed for the simulation studies in irregular waves, two alternative schemes are proposed, both of which require far less computational time compared to the conventional method of finding RAO at each frequency, and the merits of these are discussed.     

A CIP-based method for numerical simulations of violent free-surface flows

A CFD model is proposed for numerical simulations of extremely nonlinear free-surface flows such as wave impact phenomena and violent wave–body interactions. The constrained interpolation profile (CIP) method is adopted as the base scheme for the model. The wave–body interaction is treated as a multiphase problem, which has liquid (water), gas (air), and solid (wave-maker and floating body) phases. The flow is represented by one set of governing equations, which are solved numerically on a nonuniform, staggered Cartesian grid by a finite-difference method. The free surface as well as the body boundary are immersed in the computation domain and captured by different methods. In this article, the proposed numerical model is first described. Then to validate the accuracy and demonstrate the capability, several two-dimensional numerical simulations are presented, and compared with experiments and with computations by other numerical methods. The numerical results show that the present computation model is both robust and accurate for violent free-surface flows.     

大型补给舰船液舱晃荡载荷计算方法

随着补给舰船的大型化,补给舰船中的液舱晃荡问题开始凸显。为给大型补给舰船的液舱结构设计提供方便、可靠的晃荡载荷输入,基于改进的VOF法,以Youngs法重构自由液面,结合部分单元参数概念,提出了一种精度更高且数值稳定的、处理非矩形复杂舱室边界晃荡载荷的计算方法。通过对不同装载情况的液舱晃荡进行数值分析,并与Hirt-Nichols算法以及实验结果进行对比,证明该方法可有效改进自由表面的模拟效果,提高舱室内部速度、加速度和压力的预报精度。网格敏感性分析证明该方法的数值稳定性较好,较粗的网格也能达到较高的精度。所建立的晃荡载荷计算方法可用于对补给舰船的液舱晃荡设计载荷进行快速、准确的预报。     

基于OpenFOAM的船舶与液舱流体晃荡在波浪中时域耦合运动的数值模拟

波浪中载液船舶运动激励舱内液体的晃荡,舱内液体晃荡产生的冲击力同时作用在舱壁上,进而影响船舶的运动姿态。波浪中船体水动力和时延函数是在势流理论范畴下采用切片法和脉冲响应函数方法计算获得的,液舱内液体非线性晃荡是基于粘性流理论实时计算模拟,两者耦合建立了波浪中载液船舶与液舱流体晃荡耦合的运动方程。论文基于开源CFD开发平台OpenFOAM,自主开发实现了船体运动与液舱晃荡的耦合计算程序,并进行了相应的数值模拟计算和验证工作。该方法完整地考虑了波浪、船体和液舱晃荡之间的耦合作用,并结合船体内外流场特点分别采用了势流和粘性流理论,具有较高的计算效率。通过数值模拟计算和模型实验研究表明,数值模拟计算能够清晰显现出液舱晃荡对船体全局运动影响,船体运动计算结果与模型实验结果吻合良好。     

采用耦合有限元、边界元方法的矩形储液舱中液体晃荡数值仿真(英文)

Sloshing of liquid can increase the dynamic pressure on the storage sidewalls and bottom in tanker ships and LNG careers. Different geometric shapes were suggested for storage tank to minimize the sloshing pressure on tank perimeter. In this research, a numerical code was developed to model liquid sloshing in a rectangular partially filled tank. Assuming the fluid to be inviscid, Laplace equation and nonlinear free surface boundary conditions are solved using coupled FEM-BEM. The code performance for sloshing modeling is validated against available data. To minimize the sloshing pressure on tank perimeter, rectangular tanks with specific volumes and different aspect ratios were investigated and the best aspect ratios were suggested. The results showed that the rectangular tank with suggested aspect ratios, not only has a maximum surrounded tank volume to the constant available volume, but also reduces the sloshing pressure efficiently.     

液舱内流体晃荡特性数值研究

本文利用VOF法对矩形液舱内液体晃荡进行数值计算。首先对舱内无任何隔板时液体晃荡作了模拟,并与相关文献中的实验结果进行了比较;然后在舱底中间设置一道不同形式的防晃隔板,对液体晃荡进行了计算。从结算结果看,本文提出的方法可以用于分析液舱内液体的运动和载荷,为设计合理的液舱结构形式提供理论依据。     

基于镜像SPH的三维容器液体晃荡研究

基于SPH方法对液体在三维矩形容器中的非线性晃荡问题进行了数值模拟研究。采用镜像粒子边界建立三维模型,成功解决传统SPH方法在容器壁产生缝隙的问题。对横荡和横摇两种容器运动形式进行数值模拟,在液面时间历程、不同时刻液体形态、点压强以及液体晃荡作用力等方面与其他学者的实验研究结果和数值计算结果进行对比验证,表明此三维模型的正确性。     

紧致插值曲线CIP方法及其应用

波浪与建筑物的相互作用过程会涉及到波浪破碎、水气掺混和结构物的动力响应等复杂过程,对数值算法提出了更高要求。文章基于紧致插值曲线CIP（Constrained Interpolation Profile）方法建立了可模拟波浪破碎、翻滚等自由面大变形流动问题的数学模型。模型以CIP方法为流场基本求解器,离散了纳维—斯托克斯（Navier-Stokes：N-S）方程,同时还以CIP方法捕捉了自由面,通过多相流理论描述了流—固—气之间的相互作用。对强非线性自由表面流动问题的典型算例溃坝问题开展了数值模拟,并通过与他人实验结果的比较验证了模型的有效性。最后开展了极端波浪对浮式结构冲击过程的模拟,准确地预测了甲板上浪和结构的动力响应等问题。     

液舱晃荡载荷数值模拟中的流固耦合影响研究

为了研究大型化后LNG船液舱围护系统结构弹性对液舱内晃荡冲击压力的影响,采用基于显式时间积分方法的有限元/有限体积法程序模拟流体和结构的运动和变形及其相互作用。论述了数值模拟方法及其重要相关参数,以二维矩形刚性液舱模型为例模拟晃荡,得到的结果分别与计算流体程序和试验的结果比较,论证了该数值计算方案的可行性。进一步进行了三维刚性和三维弹性模型的液舱晃荡分析,比较了不同模型对液体运动和舱壁冲击压力的影响。文中研究结果对液舱结构晃荡冲击载荷评估具有参考价值。     

Numerical model of energy dissipation and shallow-water sloshing motions in tank under different coupled excitations

Shallow-water sloshing motions in a three-dimensional rectangular tank are investigated. The Boussinesq-type equations in terms of velocity potential and the finite-difference scheme are applied for the solutions of numerical model. Through linking the rate of decay of the wave amplitudes to the energy dissipation due to the friction at the tank walls, a linear damping term is proposed and added into the free surface boundary condition. Taking the tank under excited frequencies near the lowest natural frequency, the maximum transient wave amplitudes and steady-state wave amplitudes of sloshing motions at the tank wall are presented and verified by the experimental results given in the literature. The characteristics of sloshing motions in tank under different coupled excitations are studied. The results indicate that coupled surge-sway excitations lead to the weaker nonlinear sloshing motions in tank than the single degree of freedom excitations. The intersection of sloshing wave crest lines finally tend to the diagonal line of the tank under the coupled surge-sway excitations with different amplitudes. And the irregular free surface oscillations appear at the corners of the tank excited by the coupled surge-sway-roll-pitch-yaw harmonic motions.

     

Numerical simulation of viscous liquid sloshing by moving-particle semi-implicit method

A meshless numerical simulation method, the moving-particle semi-implicit method （MPS） is presented in this paper to study the sloshing phenomenon in ocean and naval engineering. As a meshless method, MPS uses particles to replace the mesh in traditional methods, the governing equations are discretized by virtue of the relationship of particles, and the Poisson equation of pressure is solved by incomplete Cholesky conjugate gradient method （ICCG）, the free surface is tracked by the change of numerical density. A numerical experiment of viscous liquid sloshing tank was presented and compared with the result got by the difference method with the VOF, and an additional modification step was added to make the simulation more stable. The results show that the MPS method is suitable for the simulation of viscous liquid sloshing, with the advantage in arranging the particles easily, especially on some complex curved surface.