圆柱尾迹流场中横向振荡翼型绕流的数值模拟

该文数值模拟了静止圆柱尾迹中横向振荡翼型绕流的涡结构、力及频谱特性,揭示前方尾迹流场对振荡翼绕流特性的影响，以了解鱼类游动时自主利用前方流场有利干扰的流体力学机理。研究表明圆柱尾迹的影响可导致翼型前缘涡脱落模态发生变化；翼型尾迹的频谱特性更加复杂;在一定的参数下翼型阻力系数可以整体下降。     

Vortex shedding in the flow around two side-by-side circular cylinders of different diameters

In this paper,the 3-D turbulent flow around two side-by-side circular cylinders of different diameters,at sub-critical Reynolds number(Re=3 900),is numerically simulated by the large eddy simulation(LES).The spacing ratios(T/D)between the two cylinders are considered in four cases(T/D=1.2,1.5,1.8 and 2.7)to study the vortex shedding and turbulent properties in the flow field.The main results are focused on the drag and lift coefficients,the vortex shedding frequency,the coherent structure,and the scale properties.It is shown that when T/D is equal to 1.2,the vortex shedding of the main cylinder is strongly suppressed by the small cylinder,the drag and lift coefficients of the main cylinder are smaller than those in other three cases.While T/D is equal to 1.5,the vortex shedding of the main cylinder can be improved,the drag and lift coefficients of the main cylinder are larger than those in other three cases.The empirical mode decomposition(EMD)method is applied to decompose the velocity signals traced by the LES.It is shown that there is a linear relationship between the mean period and the mode in the semi-log coordinates.The vortex shedding period of the main cylinder is consistent with the period of the restructured coherent structures quantitatively.     

旋转振荡圆柱绕流中的频率耦合现象研究

通过分离解法数值求解原始变量的不可压二维N－S方程，对在均匀来流中旋转振荡圆柱问题进行了数值模拟，利用快速傅里叶变换（FFT）方法进行频谱分析，得到了在低雷诺数下圆柱自然涡脱落频率同外部迫强迫振荡频率之间的耦合作用。进而说明了在不同频率耦合区域流场涡形成、发展和脱落的规律。     

Numerical simulation of viscous flow past an oscillating square cylinder using a CIP-based model

The flow past an in-line forced oscillating square cylinder at Reynolds number of 200 is studied using an in-house code, named constrained interpolation profile method developed in Zhejiang University(CIP-ZJU). The model is established in the Cartesian coordinate system using the CIP method to discretise the Navier-Stokes equations. The fluid-structure interaction is treated as a multiphase flow of the liquid and solid phases to be solved simultaneously. An immersed boundary method is used to deal with the boundary of the solid body. The CFD model is first applied to the computation of the flow past a fixed square cylinder for its validation. Computations are then performed for the flow past a square cylinder oscillating in the streamwise direction. Considerable attention is paid to the symmetric and anti-symmetric modes of the vortex shedding in the oscillating square cylinder wake. Various oscillation amplitudes and frequencies are simulated and their effects on the vortex shedding modes are analyzed via Lissajous patterns of the unsteady lift coefficient. The relationship among the lift coefficient, the drag coefficient and the lock-on range is also investigated quantitatively.     

FORCE CHARACTERISTICS AND VORTEX SHEDDING OF A PITCHING FOIL IN SHEAR FLOWS

The objective of this study is to deal with unsteady force acting on a pitching foil in shear flow and to study the relation of the force characteristics with vortex shedding near the foil. The two-dimensional incompressible Navier-Stokes equations in the vorticity and stream-function formulation were solved with the fourth-order essentially compact finite difference schemes for the space derivatives and a fourthorder Runge-Kutta scheme for the time advancement. The force characteristics and vortex shedding of the pitching foil in shear flows were investigated. The effects of some typical factors, including the incoming flow shear, the oscillating frequency and amplitude, on the vortex shedding and force behavior were analyzed and discussed.     

利用分离盘控制隔水管涡激振动的数值模拟

涡激振动是导致深海隔水管疲劳失效的重要因素.为有效控制隔水管涡激振动,提出了利用分离盘控制涡激振动的方法.对加装0.25～2.0倍隔水管直径的分离盘后的隔水管流动进行了二维数值模拟.研究了亚临界状态下各种模型旋涡脱落的流场结构、脱落模态、隔水管升阻力系数和旋涡泄放频率的变化特征.结果表明:分离盘加装前与经典的实验和计算结果吻合很好;不同尺寸的分离盘对隔水管涡激振动控制效果具有明显差异;当分离盘的长度为1.0至1.5倍的隔水管直径时,平均阻力系数可以减小20%,尾迹涡街的频率也有了较大的减小,达到控制涡激振动的最优效果.     

A STUDY OF OSCILLATING FLOWS OVER PROPAGATING RIPPLES:PART Ⅱ. VORTICITY DYNAMICS

1 .　ＩＮＴＲＯＤＵＣＴＩＯＮＡｈｏｒｉｚｏｎｔａｌｂａｃｋ ａｎｄ ｆｏｒｔｈｍｏｔｉｏｎｐｒｏｄｕｃｅｄｎｅａｒａｓａｎｄｂｅｄｂｙ ｐｒｏｇｒｅｓｓｉｖｅｇｒａｖｉｔｙｗａｖｅｓｐｒｏｐａｇａｔｉｏｎｉｎｓｈａｌｌｏｗｗａｔｅｒｕｓｕａｌｌｙｇｉｖｅｓｒｉｓｅｔｏｎｅａｒｌｙｓｙｍｍｅｔｒｉｃａｌｂｅｄ ｆｏｒｍｓｃｏｍ ｍｏｎｌｙｋｎｏｗｎａｓｒｉｐｐｌｅｓ .Ｏｓｃｉｌｌａｔｉｎｇｆｌｏｗｓｏｖｅｒｐｅｒｉｏｄｉｃｒｉｐｐｌｅｓａｒｅｏｆｐｒａｃｔｉｃａｌａｓｗｅｌｌａｓｓｃｉ ｅｎｔｉｆｉｃ…     

高雷诺数下圆柱绕流与大振幅比受迫振动的数值模拟

利用CFD方法,研究较高雷诺数下圆柱绕流及圆柱大振幅比横向受迫振动特性。在Navier-Stokes方程和k??湍流模型的基础上,对圆柱绕流分别进行了二维与三维的数值模拟,得到了圆柱绕流的升力系数和漩涡发放频率数等结果。研究结果表明,三维模拟的升力系数均小于二维模拟结果。利用Fluent的动网格技术进行大振幅比圆柱横向受迫振动的研究,得到圆柱在不同振动频率时的升力系数及漩涡发放规律和圆柱在特定振幅及频率下的"锁定"区间。     

Numerical simulation of flow past twin near-wall circular cylinders in tandem arrangement at low Reynolds number

Fluid flow past twin circular cylinders in a tandem arrangement placed near a plane wall was investigated by means of numerical simulations. The two-dimensional Navier-Stokes equations were solved with a three-step finite element method at a relatively low Reynolds number of Re = 200 for various dimensionless ratios of 0.25 ≤ G/D ≤ 2.0 and 1.0 ≤ L/D ≤ 4.0, where D is the cylinder diameter, L is the center-to-center distance between the two cylinders, and G is the gap between the lowest surface of the twin cylinders and the plane wall. The influences of G/D and L/D on the hydrodynamic force coefficients, Strouhal numbers, and vortex shedding modes were examined. Three different vortex shedding modes of the near wake were identified according to the numerical results. It was found that the hydrodynamic force coefficients and vortex shedding modes are quite different with respect to various combinations of G/D and L/D. For very small values of G/D, the vortex shedding is completely suppressed, resulting in the root mean square (RMS) values of drag and lift coefficients of both cylinders and the Strouhal number for the downstream cylinder being almost zero. The mean drag coefficient of the upstream cylinder is larger than that of the downstream cylinder for the same combination of G/D and L/D. It is also observed that change in the vortex shedding modes leads to a significant increase in the RMS values of drag and lift coefficients.     

PROPULSIVE PERFORMANCE AND VORTEX SHEDDING OF A FOIL IN FLAPPING MOTION

1 .　INTRODUCTIONInsectsandfishhaveexperiencedabillions yearprocessofevolutionwithnaturalselectionfortheirsurvivalandhavedevelopedtheirsuperiorandcomplete performanceofflightandswim ming .Usually ,aflappingmotionisabasicmodeoflocomotionforinsects ,birds ,andfish .Thrustandliftaregeneratedwhentheflappingwingsortailsinteractwiththesurroundingfluids .Becauseofthehighlyunsteadynatureofviscousflowaroundaflappingwing ,itisfarfromsatisfactorytounderstandthephysicalmechanismandvortexsheddinginuns…     

STABILITY OF VORTEX STREET IN GAS-LIQUID TWO-PHASE FLOW

The stability of the Karmen vortex street in gas-liquid two-phase flow was studied experimentally and theoretically. The values of the parameter h/l characterizing the vortex street structure (i. e. , the ratio of the vortex street width to the distance between two vortexes) for a stable vortex street in gas-liquid two-phase flow were obtained for the first time. The parameter h/l was prpved to be a variable, not a constant as in single-phase flow, h/l is related to the upstream fluid void fraction. In gas-liquid two-phase fluid flow to form a steady vortex street is more difficult than in a single-phase fluid flow. Because in the unsteady vortex shedding the vortex shedding band frequency is broader than the one in the single phase fluid flow, so it is easier to induce the cross-cylinder resonance than in the single phase fluid flow, and this case should give rise to the attention of engineers.     

SLOW DRIFT DAMPING FORCE ACTING ON A CYLINDER IN WAVES

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STUDY OF VORTEX CHARACTERISTICS OF THE FLOW AROUND A HORIZONTAL CIRCULAR CYLINDER AT VARIOUS GAP-RATIOS IN THE CROSS-FLOW

1. INTRODUCTION The flow around a horizontal circular cylinder near a plane boundary (fixed wall) is of great significance in Hydrodynamics. For instance, sewagepipelines in water body of rivers in environmental engineering, conveying pipelines and optica…     

FLOW PAST TWO ROTATING CIRCULAR CYLINDERS IN A SIDE-BY-SIDE ARRANGEMENT

Measurements were performed using Particle Image Velocimetry(PIV) to analyze the modification of flow by the combined effects of the rotation and the Reynolds number on the flow past two rotating circular cylinders in a side-by-side-arrangement at a range of 425 ≤ Re≤ 1130,0 ≤α≤ 4(α is the rotational speed) at one gap spacing of T / d =1.11(T and d are the distance between the centers of two cylinders and the cylinder diameter,respectively).A new Immersed-Lattice Boltzmann Method(ILBM) scheme was used to st...     

Numerical analysis of the unsteady behavior of cloud cavitation around a hydrofoil based on an improved filter-based model

The unsteady cavitation evolution around the Clark-Y hydrofoil is investigated in this paper, by using an improved filter-base model(FBM) with the density correction method(DCM). To improve the prediction accuracy, the filter scale is adjusted based on the grid size. The numerical results show that a small filter scale is crucial for the unsteady simulations of the cavity shedding flow. The hybrid method that combines the FBM and the DCM could help to limit the overprediction of the turbulent viscosity in the cavitation region on the wall of the hydrofoil and in the wake. The large value of the maximum density ratio ? l /? v, clip promotes the mass transfer rate between the liquid phase and the vapor phase, which results in a large sheet cavity length and the vapor fraction rise inside the cavity. The cavity patterns predicted by the improved method are verified by the experimental visualizations. The time-average lift, the drag coefficient and the primary oscillating frequency St for the cavitation number ?= 0.8, the angle of attack, ?= 8o, at a Reynolds number Re= 7 ?105 are 0.735, 0.115 and 0.183, respectively, and the predicted errors are 3.29%, 3.36% and 8.93%. The typical three stages in one revolution are well-captured, including the initiation of the sheet/attached cavity, the growth toward the trailing edge(TE) with the development of the re-entrant jet flow, and the large scale cloud cavity shedding. It is observed that the cloud cavity shedding flow induces the vortex pairs of the TE vortices in the wake and the shedding vortices. The positive vorticity vortex of the re-entrant jet and the TE vortices interacts and merges with the negative vorticity vortex of the leading edge(LE) cavity to produce the shedding flow.     

EXPERIMENT ON THE CHARACTERISTICS OF 3-D VORTEX RING BEHIND A FLEXIBLE OSCILLATING CAUDAL FIN

A test for the wake vortex of a flexible oscillating caudal fin is carried out with Digital Particle Image Velocimetry (DPIV), and the variation of vortex distance and the vorticity in the range of oscillating frequency from 0.704 Hz to 1.17 Hz are analyzed. It is found that with the increase of the oscillating frequency, the vortex distance decreases and the peak of the vorticity increases, When the Strouhal number is smaller than 0.49, a larger thrust component is obtained. The distribution of the velocity circulation and the vortex distance in the different spanwise section of the caudal fin are given, and then the dimension of the vortex ring is determined. The radius of the vortex ring is 79.3 mm and the average velocity circulation is 28152.9 mm²/s at the oscillating frequency of 0.835 Hz. The model of 3-D vortex ring chain of flexible oscillating caudal fin is constructed based on the information of wake vortex field. Finally, an effective analysis method is provided for establishing the relationship of oscillating parameters for the caudal fin and the wake structure and the intrinsic mechanism of efficient fish swimming is investigated.     

EXPERIMENTAL STUDY OF FLOWFIELD STRUCTURE AROUND AN OGIVE-CYLINDER

BRIEFINTRODUCTIONOFTHEPAPER :　Theflowfieldaroundaslenderbodyatalargeangleofattackbecomesasymmetricandahighsideforceandyawmomentareexertedonthebody .(1)Thetypicalflowsubstantialstructureissuccessfullyvisualizedbyexperiments ,andtheflowfieldaroundtheslenderbodywiththechang ingofangleofattackcanbeclassifiedintosixregimesaccordingtodifferentflowpatternsanditsaerodynamiccharacteristics .Thelargeanglesofattackfromwhichahighsideforceappearsisboundedas 4 5° α 6 0° .(2 )Thespatial 3 Dc…     

STUDIES ON THE NUMERICAl SIMULATION OF UNSTEADY FLOWS

ＳＴＵＤＩＥＳＯＮＴＨＥＮＵＭＥＲＩＣＡｌＳＩＭＵＬＡＴＩＯＮＯＦＵＮＳＴＥＡＤＹＦＬＯＷＳ￥ＬｕＸｉ－ｙｕｎ（ＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅａｎｄＴｅｃｈｎｏｌｏｇｙｏｆＣｈｉｎａ，Ｈｅｆｅｉ２３００２６，Ｐ．Ｒ．Ｃｈｉｎａ）Ｓｕｐｅｒｖｉ...     

NUMERICAL STUDY OF VORTEX SHEDDING FROM A SQUARE CYLINDER AND ITS EFFECTS ON HEAT TRANSFER OF MIXED CONVECTION

1 .　INTRODUCTIONForseveraldecades ,thenumericalandexperi mentalinvestigationofvortexsheddingfromaheated cooledbluntbodyinthemixednaturalandforcedconvectionregimeshasbeenasubjectofgreatinterestamongappliedmathematicians,fluiddynamicistsandheattransferanalysistowingtoitsnumerousengineeringapplicationssuchasthecoolingofelectroniccomponents ,thecoolingofhotwireanemometersandtheliftenhancementasattributedtotheMagnuseffects .Literatureonvortexsheddingfromcircularcylinderinthemixedconvectionregi…     

特征线算子分裂有限元的圆柱绕流大涡模拟

为研究圆柱绕流流场特性,将大涡模拟与特征线算子分裂有限元相结合,建立了大涡模拟特征线算子分裂有限元模型,对单圆柱和串列双圆柱绕流问题进行了数值模拟,所得结果与现有研究结果吻合较好。模拟结果表明:对单圆柱绕流,随着雷诺数的增大,圆柱近尾流区上下交替的涡旋逐渐靠近通过圆柱几何中心的水平线,且涡脱落位置逐渐靠近圆柱。对Re=1 000的串列双圆柱绕流,临界间距在圆柱直径的2.25~2.5倍之间;当两圆柱间距小于临界间距时,上游圆柱后方无明显涡旋脱落,间隙处压力较稳定;大于临界间距时,有涡旋脱落,上游圆柱尾流区上下表面交替出现强负压区。