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Numerical Study on the Temporal Discretization Schemes in Two-Phase Wave Simulation 两相波模拟中时间离散化方法的数值研究
Pub Date : 2019-06-01 DOI: 10.1115/omae2019-96278
Young Jun Kim, B. Bouscasse, S. Seng, D. L. Touzé
The generation and propagation of waves in a viscous flow solver are indispensable part of naval computational fluid dynamic (CFD) applications. This paper presents numerical simulations of two-dimensional wave propagation in the framework of two-phase finite volume method (FVM) with different temporal discretization schemes. Implicit Euler, Crank-Nicolson (CN) and second-order backward temporal discretization schemes are compared by using viscous flow solver based on the open source library OpenFOAM. The combinations of each temporal discretization scheme and explicit limiter are used for the formulation of the Volume Of Fluid (VOF) field convection equation. A new formulation using the second-order backward temporal discretization scheme with explicit limiter are investigated. Two-dimensional periodic domains are considered to compare different time-stepping methods. Also, five different refinement levels of meshes are used to study the convergence properties of each method. The non-linear wave is generated with stream function wave theory using ‘foamStar’, which is a specialized OpenFOAM library package developed by Bureau Veritas in collaboration with École Centrale de Nantes.
粘性流动求解器中波浪的产生和传播是舰船计算流体动力学(CFD)应用中不可缺少的一部分。本文采用两相有限体积法,采用不同的时间离散化方法,对二维波的传播进行了数值模拟。利用基于开放源代码库OpenFOAM的粘性流动求解器,对隐式欧拉、Crank-Nicolson (CN)和二阶后向时间离散化方案进行了比较。将各时间离散化方案与显式限制器相结合,建立了流体体积场对流方程。研究了带显式限位器的二阶后向时间离散格式。考虑二维周期域来比较不同的时间步进方法。此外,还使用了5种不同的网格细化级别来研究每种方法的收敛性。非线性波是用“foamStar”流函数波理论生成的,这是一个专门的OpenFOAM库包,由必维集团与École Centrale de Nantes合作开发。
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引用次数: 1
A Hybrid Data-Driven Deep Learning Technique for Fluid-Structure Interaction 流固耦合的混合数据驱动深度学习技术
Pub Date : 2018-07-20 DOI: 10.1115/omae2019-95870
T. P. Miyanawala, R. Jaiman
This paper is concerned with the development of a hybrid data-driven technique for unsteady fluid-structure interaction systems. The proposed data-driven technique combines the deep learning framework with a projection-based low-order modeling. While the deep learning provides low-dimensional approximations from datasets arising from black-box solvers, the projection-based model constructs the low-dimensional approximations by projecting the original high-dimensional model onto a low-dimensional subspace. Of particular interest of this paper is to predict the long time series of unsteady flow fields of a freely vibrating bluff-body subjected to wake-body synchronization. We consider convolutional neural networks (CNN) for the learning dynamics of wake-body interaction, which assemble layers of linear convolutions with nonlinear activations to automatically extract the low-dimensional flow features. Using the high-fidelity time series data from the stabilized finite element Navier-Stokes solver, we first project the dataset to a low-dimensional subspace by proper orthogonal decomposition (POD) technique. The time-dependent coefficients of the POD subspace are mapped to the flow field via a CNN with nonlinear rectification, and the CNN is iteratively trained using the stochastic gradient descent method to predict the POD time coefficient when a new flow field is fed to it. The time-averaged flow field, the POD basis vectors, and the trained CNN are used to predict the long time series of the flow fields and the flow predictions are quantitatively assessed with the full-order (high-dimensional) simulation data. The proposed POD-CNN model based on the data-driven approximation has a remarkable accuracy in the entire fluid domain including the highly nonlinear near wake region behind a freely vibrating bluff body.
本文研究了非定常流固耦合系统的混合数据驱动技术。提出的数据驱动技术将深度学习框架与基于投影的低阶建模相结合。深度学习从黑箱解算器产生的数据集中提供低维近似,而基于投影的模型通过将原始高维模型投影到低维子空间来构建低维近似。本文特别感兴趣的是预测受尾迹同步作用的自由振动钝体的长时间非定常流场。我们将卷积神经网络(CNN)用于尾迹-体相互作用的学习动力学,它将线性卷积层与非线性激活组合在一起,自动提取低维流动特征。利用稳定有限元Navier-Stokes解算器的高保真时间序列数据,首先通过适当的正交分解(POD)技术将数据集投影到低维子空间。通过非线性整流的CNN将POD子空间的时变系数映射到流场,并使用随机梯度下降法对CNN进行迭代训练,以预测新的流场输入时POD时间系数。利用时间平均流场、POD基向量和训练好的CNN对流场的长时间序列进行预测,并利用全阶(高维)模拟数据对流量预测进行定量评估。所提出的基于数据驱动近似的POD-CNN模型在包括自由振动钝体后高度非线性的近尾迹区域在内的整个流体域中都具有显著的精度。
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引用次数: 4
CFD Simulations of Helical Strakes Reducing Vortex Induced Motion of a Semi-Submersible 半潜船螺旋条减少涡致运动的CFD模拟
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-78372
Jiawei He, D. Wan, Zhiqiang Hu
This paper describes a set of VIM CFD simulations for a semi-submersible with and without helical strakes. The numerical investigations are conducted under low Reynolds number (Re) using naoe-FOAM-SJTU, a solver developed based on the open source framework OpenFOAM. The self-developed six degree-of-freedom (6DoF) motion module and mooring system module are applied to model motions of semi-submersible and the constraint of mooring lines, respectively. To carry out the calculations, turbulence closure has been chosen the Shear Stress Transport (SST) based Delay Detached eddy simulation (DDES), which uses the RANS model inside the boundary region and LES model outside the boundary area. This allows a realistic simulation within the boundary region where the vortex shedding is taking place, while not using unnecessary amounts of computational power. The Vortex Induced Motion (VIM) of semi-submersible with and without helical strakes was compared against each other for different reduced velocities (Ur). The flow characteristics of the semi-submersible platform is studied based on the characteristics of vortex shedding. For different current incident angles, time histories, trajectories and vorticity of the semi-submersible at different reduced velocities are reported. The result shows our CFD solver naoe-FOAM-SJTU is applicable and reliable to study VIM of semi-submersibles.
本文介绍了一套带和不带螺旋条的半潜器的VIM CFD模拟。采用基于开源框架OpenFOAM开发的求解器naoe-FOAM-SJTU进行了低雷诺数(Re)下的数值研究。采用自主开发的六自由度运动模块和系泊系统模块,分别对半潜船运动和系泊线约束进行建模。为了进行计算,湍流闭合选择了基于剪切应力输运(SST)的延迟分离涡模拟(DDES),该模拟在边界区域内使用RANS模型,在边界区域外使用LES模型。这允许在边界区域内进行真实的模拟,漩涡脱落正在发生,同时不使用不必要的计算能力。在不同减速速度(Ur)条件下,比较了半潜船带和不带螺旋桨条时的涡致运动(VIM)。基于旋涡脱落特性,研究了半潜式平台的流动特性。报道了不同入射角下半潜器在不同降速下的时程、轨迹和涡量。结果表明,本文提出的CFD求解器naoe-FOAM-SJTU适用于半潜器的涡流动力学研究。
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引用次数: 0
Validation Exercises for a Free Falling Wedge Into Calm Water 自由落体楔入平静水中的验证练习
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-78598
J. Muralha, L. Eça, A. Maximiano, G. Vaz
This paper presents the assessment of the modelling error (Validation) of a Navier-Stokes solver using Volume of Fluid (VOF) and moving grid techniques in the simulation of a free falling wedge into calm water. This problem has been studied experimentally to determine the time histories of six pressure probes located on the wedge surface and the acceleration of the wedge. The simulation is restricted to the first 100ms after the impact of the wedge on the water (t = 0 at the impact) and the mathematical model uses the following assumptions: incompressible fluid; two-dimensional, laminar flow, negligible shear-stress at the surface of the wedge and deep water. The selected quantities of interest are the peak pressures at the six sensors, time intervals between peak pressures at the sensors, sensors pressures and acceleration of the wedge at six different time instants and integrated pressure signals for 80ms after the pressure peak at the first sensor. The application of the ASME V&V 20 standard to local quantities is presented, including the estimation of experimental and numerical uncertainties. Furthermore, a multivariate metric is used to evaluate quantitatively the overall performance of the mathematical model. The results show significant comparison errors (mismatches between simulations and measurements) for the accelerations, which may be a consequence of the assumptions of a deep water boundary condition at the bottom. However, such conclusion is hampered by some doubts about the accuracy of the experimental data. On the other hand, modeling errors are significantly smaller for the pressure measurements at the six sensors for which the main challenge is to reduce the validation uncertainty Uval. In many of the selected flow quantities, Uval is dominated by the experimental uncertainty.
本文利用流体体积法(VOF)和移动网格技术对Navier-Stokes解算器在静水中自由落体的模拟中的建模误差进行了评估(验证)。对该问题进行了实验研究,确定了位于楔形表面的六个压力探头的时程和楔形的加速度。模拟仅限于楔块撞击水后的前100ms(撞击时t = 0),数学模型使用以下假设:不可压缩流体;二维,层流,可忽略的剪切应力在楔和深水表面。所选的感兴趣的量是六个传感器的峰值压力,传感器峰值压力之间的时间间隔,六个不同时刻的传感器压力和楔形加速度,以及第一个传感器压力峰值后80ms的综合压力信号。介绍了ASME v&v20标准在局部量中的应用,包括实验不确定性和数值不确定性的估计。此外,还使用多元度量来定量评估数学模型的整体性能。结果显示加速度的比较误差(模拟和测量之间的不匹配)很大,这可能是假设底部有深水边界条件的结果。然而,这一结论受到了对实验数据准确性的质疑。另一方面,对于六个传感器的压力测量,建模误差明显较小,其主要挑战是减少验证不确定度Uval。在许多选定的流量中,Uval受实验不确定性的支配。
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引用次数: 0
Boundary Layer Effects in the Modeling of Semi-Submersible Columns 半潜式柱模拟中的边界层效应
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-78531
S. Holmes
A common structural element encountered in semisubmersible designs is a rectangular vertical column with rounded corners. The time-averaged drag and oscillating lift and drag forces on such columns are strongly influenced by the location of the lines of flow separation on the column and hence the angle of attack of the incoming flow and the corner radius. In this paper we examine published wind tunnel data to illustrate these effects which include angle of attack and Reynolds number effects. This examination suggests that care must be exercised modeling flows around these elements. Also, the data suggest that Reynolds number effects and surface roughness effects may distort the results of scaled experiments. We use CFD simulations first to model the existing data and then to explore the possible changes in hydrodynamic properties due to Reynolds number and boundary layer effects. Recommendations are made regarding the physical and CFD modeling of the flow over these structures.
半潜式设计中常见的结构元素是圆角的矩形垂直柱。这些柱上的时间平均阻力和振荡升力和阻力受到流动分离线在柱上的位置的强烈影响,因此受到来流攻角和拐角半径的影响。在本文中,我们检查已发表的风洞数据来说明这些影响,包括迎角和雷诺数效应。这个检查表明,必须谨慎地围绕这些元素建模流。此外,数据表明雷诺数效应和表面粗糙度效应可能会扭曲实验结果。我们首先使用CFD模拟来模拟现有数据,然后探索由于雷诺数和边界层效应而导致的水动力特性的可能变化。提出了关于这些结构上流动的物理和CFD建模的建议。
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引用次数: 0
3-D Numerical Simulations of Subsea Jumper Transporting Intermittent Slug Flows 水下跳线输送间歇段塞流的三维数值模拟
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-77299
Jihyeon Kim, N. Srinil
Subsea jumper is the steel pipe structure to connect wellhead and subsea facilities such as manifolds or processing units in order to transport the produced multiphase flows. Generally, the jumper consists of a goalpost with two loop structures and a straight pipe between them, carrying the multiphase oil and gas from the producing well. Due to the jumper pipe characteristic geometry and multi-fluid properties, slug flows may take place, creating problematic fluctuating forces causing the jumper oscillations. Severe dynamic fluctuations cause the risk of pipe deformations and resonances resulting from the hydrodynamic momentum/pressure forces which can lead to unstable operating pressure and decreased production rate. Despite the necessity to design subsea jumper with precise prediction on the process condition and the awareness of slug flow risks, it is challenging to experimentally evaluate, identify and improve the modified design in terms of the facility scale, time and cost efficiency. With increasing high computational performance, numerical analysis provides an alternative approach to simulate multiphase flow-induced force effects on the jumper. The present paper discusses the modelling of 3-D flow simulations in a subsea jumper for understanding the development process of internal slug flows causing hydrodynamic forces acting on the pipe walls and bends. Based on the fluctuating pressure calculated by the fluid solver, dynamic responses of the jumper pipe are assessed by a one-way interaction approach to evaluate deformation and stress. A potential resonance is discussed with the jumper modal analysis. Results from the structural response analyses show dominant multi-modal frequencies due to intermittent slug flow frequencies. Numerical results and observed behaviors may be useful for a comparison with other simulation and experiment.
水下跳线是连接井口和水下设施(如歧管或处理单元)的钢管结构,以输送生产的多相流。一般来说,跳线由两个环形结构的门柱和它们之间的直管组成,从生产井中输送多相油气。由于跨接管的特殊几何形状和多流体特性,可能会发生段塞流,产生有问题的波动力,导致跨接管振荡。严重的动态波动会导致管柱变形和流体动力/压力引起的共振,从而导致作业压力不稳定和产量下降。尽管在设计水下跳线时需要对工艺条件进行精确预测,并意识到段塞流风险,但从设施规模、时间和成本效益等方面进行实验评估、识别和改进修改后的设计是一项挑战。随着计算性能的提高,数值分析提供了另一种方法来模拟多相流对跳线的力影响。本文讨论了水下跳线的三维流动模拟建模,以了解内部段塞流的发展过程,从而产生作用于管壁和弯头的水动力。基于流体求解器计算的波动压力,采用单向相互作用法评估跨接管的动态响应,以评估变形和应力。用跳线模态分析讨论了一种电位共振。结构响应分析结果表明,由于间歇性段塞流频率的影响,多模态频率占主导地位。数值结果和观察到的行为可用于与其他模拟和实验的比较。
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引用次数: 8
Boom Overtopping Assessment Based on a Coupled Hydrodynamic - CFD Analysis 基于流体动力- CFD耦合分析的动臂过顶评估
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-77848
H. Limburg, B. Sainte-Rose, Jean-Sébastien Verjut
Plastic pollution in the marine environment is an increasing problem with severe impacts on ecosystems and economies around the globe. The Ocean Cleanup (TOC) Foundation develops a floating barrier able to intercept, concentrate and extract plastic from the marine environment. TOC has conducted several experiments and numerical studies to determine the capture efficiency of its system. One of the phenomena leading to its decrease is wave overtopping or under-flowing when the system cannot properly follow the waves, this issue is amplified by the use of a stiffer barrier than the original deep-water moored concept. When such events occur, plastic debris won’t be captured by the system and will escape into the open ocean. Such an event will therefore be decreasing the capture efficiency. To model and quantify plastic loss due to wave overtopping and under-flowing, the ideal approach would be to use a nonlinear 3D CFD method including hydro-elasticity of the barrier structure. Given the size of the problem and the number of conditions that need to be simulated to characterize the design space of the system, the use of such a method is computationally very expensive and therefore unrealistic. Therefore, the objective of this work is to propose an alternative method. This paper presents a method of quantifying plastic loss by coupling a hydrodynamic solver to a 2D CFD solver. A hydrodynamic model is set up to predict the dynamics of the boom. A 2D CFD model with imposed motion is used to analyze the local effects of wave overtopping. From there, wave overtopping events along the barrier system are analyzed and quantified using the results found in the 2D CFD study.
海洋环境中的塑料污染是一个日益严重的问题,对全球生态系统和经济产生了严重影响。海洋清理(TOC)基金会开发了一种能够从海洋环境中拦截、浓缩和提取塑料的浮动屏障。为了确定其系统的捕获效率,TOC进行了多次实验和数值研究。当系统不能很好地跟随波浪时,导致其减小的现象之一是波浪过顶或下流,这一问题由于使用比原始深水系泊概念更硬的屏障而被放大。当这种情况发生时,塑料碎片不会被系统捕获,而是会逃逸到公海中。因此,这样的事件将降低捕获效率。为了模拟和量化波浪过顶和下流造成的塑性损失,理想的方法是使用非线性3D CFD方法,包括屏障结构的水弹性。考虑到问题的大小和需要模拟以表征系统设计空间的条件的数量,使用这种方法在计算上非常昂贵,因此是不现实的。因此,本工作的目的是提出一种替代方法。本文提出了一种将流体动力学求解器与二维CFD求解器相结合的定量计算塑性损失的方法。建立了水动力模型来预测臂架的动力学特性。采用二维强加运动CFD模型分析了波浪过顶的局部效应。在此基础上,利用二维CFD研究的结果,分析和量化沿障壁系统的波浪过顶事件。
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引用次数: 1
Numerical Simulation of Three-Layer-Liquid Sloshing by Multiphase MPS Method 三层液体晃动的多相MPS数值模拟
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-78387
Xiao Wen, D. Wan
In the present study, three-layer-liquid sloshing in a rigid tank is simulated based on the newly developed multiphase MPS method. Firstly, the multiphase MPS method is introduced in detail, including the basic particle interaction models and the special interface treatments employed to extend single phase MPS solver to multiphase flows simulations. The new multiphase MPS method treats the multifluid system as the multi-density and multi-viscosity fluid, thus only a single set of equations needs to be solved for all phases. Besides, extra density smoothing technique, interparticle viscosity model and surface tension model are included in the present method for interface particles. The new multiphase MPS method is then applied to simulate three-layer-liquid sloshing in a rigid tank and verified through comparison with the experiment conducted by Molin et al. [1]. The predicted motion of interfaces by the present method shows a good agreement with the experimental data and other numerical results.
本文采用多相MPS方法对刚性容器内三层液体晃动进行了数值模拟。首先,详细介绍了多相MPS方法,包括基本的粒子相互作用模型和将单相MPS求解扩展到多相流模拟中所采用的特殊界面处理。新的多相MPS方法将多流体体系视为多密度、多粘度的流体,只需要求解所有相的一组方程。此外,该方法还采用了额外密度平滑技术、颗粒间粘度模型和表面张力模型。将新的多相MPS方法应用于刚性槽内的三层液体晃动模拟,并与Molin等[1]的实验进行对比验证。用该方法预测的界面运动与实验数据和其他数值结果吻合较好。
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引用次数: 5
A Numerical Investigation of Wedge Angle Effects on a Plunger Type Wave Maker With a Constant Submerged Volume 定沉体积柱塞式造波器楔形角影响的数值研究
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-77380
Zohreh Azadian-Kharanjani, A. Nikseresht, H. Bingham
The effect of wedge angle at a constant submerged volume for a plunger type wave maker on the wave height, wave amplitude ratio and the quality of generated wave is studied numerically for a range of linear wave conditions in this research. The commercial ANSYS-FLUENT finite volume code is used to solve the Navier-Stokes equations using dynamic meshes and a Volume of Fluid (VOF) scheme is used to capture the air-water interface. A second order upwind numerical scheme is used to discretize the convective terms of the momentum equations and the standard SIMPLE algorithm is used for coupling the pressure and velocity based equations. At first the plunger-type wedge shaped wave-maker of Wang is considered numerically for the conditions used in his experiments, over a range of linear wave conditions (H/λ less than or equal to 0.03). After validating the numerical method, the effect of plunger wedge angle on the quality of the generated waves and on the power which is needed to run the wave maker are investigated. From these results, we conclude that the quality of the generated waves reduces with increasing wedge angle, when the submerged volume is fixed.
在一定的线性波浪条件下,数值研究了柱塞式造波器在定沉体条件下楔形角对造波器的波高、波幅比和成波质量的影响。采用ANSYS-FLUENT有限体积程序求解Navier-Stokes动力学方程,采用流体体积(VOF)格式捕获空气-水界面。采用二阶迎风数值格式对动量方程的对流项进行离散,采用标准SIMPLE算法对压力和速度方程进行耦合。首先,王的柱塞型楔形造波器在他的实验中使用的条件下被数值考虑,在线性波条件范围内(H/λ小于或等于0.03)。在验证了数值方法的基础上,研究了柱塞楔角对产生的波浪质量和造波器运行所需功率的影响。结果表明,在沉水体积一定的情况下,波浪质量随楔角的增大而减小。
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引用次数: 5
Effect of the Free Surface on the Drag Forces on a Flat Plate Translating Normal to the Flow 自由表面对平板上阻力的影响
Pub Date : 2018-06-17 DOI: 10.1115/OMAE2018-77646
S. Satheesh, C. Haëck, F. Huera-Huarte
A series of experiments were carried out with a flat plate towed normal to the flow in quiescent fluid. The focus was given to the analysis of the drag force seen by the plate as a function of its aspect ratio and hydraulic diameter. The effect of towing the plate near the water free surface was also investigated thoroughly. Plates of aspect ratio ranging from 0.25 to 4 were towed in a still water tank at different Reynolds numbers in the range from 15000 to 60000. Submergence depth was measured from the upper edge to the free surface and varied from zero to the centre of the tank. Forces on the plates were measured using a submersible bending beam load cell and the carriage motion was monitored by a rotary potentiometer. It was found that the drag increases abruptly prior subsiding with increasing submergence depth, with this effect being more dominant in lower aspect ratio plates. The abrupt rise in the drag is due to the interaction of the upper edge of the plate with the free surface resulting in a large shrinkage of the recirculation zone. The non-unit low aspect ratio plates also showed another drag peak around 50% depth, especially at lower speeds. Overall, the trends were Reynolds number independent, except when the aspect ratios was in the range from 0.75 to 1.33 and the plate was near the free surface.
在静流体中,用平板法向拖曳进行了一系列实验。重点分析了板所看到的阻力作为其长径比和液压直径的函数。研究了在自由水面附近拖曳板的效果。在不同雷诺数15000 ~ 60000的静水箱中拖曳展弦比为0.25 ~ 4的板片。浸没深度从上边缘到自由表面测量,并从零变化到坦克的中心。板上的力是用潜水式弯梁测力仪测量的,小车的运动是用旋转电位器监测的。研究发现,随着下沉深度的增加,阻力在下沉前急剧增加,且这种影响在低纵横比板中更为明显。阻力的突然上升是由于板的上边缘与自由表面的相互作用,导致再循环区大幅收缩。非单元低纵横比板也显示出另一个阻力峰值,大约在50%深度,特别是在较低的速度。总的来说,除了长径比在0.75 ~ 1.33范围内且板靠近自由表面时,趋势与雷诺数无关。
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引用次数: 0
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