STUDY OF INTERACTION BETWEEN VORTICES AND A FREE SURFACE* PART I:INVISCID FLOW

Vortex method is developed to study the interaction between free surface and vortex systems. The. vortex systems, considered here, include vortex pairs, an infinite vortex sheet, and a trailing-edge vortex sheet. The computational results reproduces qualitatively the deformation of free surface under the action of vortices, which is observed in experiments.     

LES investigation of the tip vortex cavitating flow with special emphasis on the interaction between cavitation and vorticity by a modified cavitation model

Cavitation within the tip vortex(TV)flow remains a challenging issue in the design of high-speed and low-noise hydraulic machinery.In this paper,the TV cavitating flow around an elliptical hydrofoil is calculated by using large eddy simulation(LES)combined with a modified Schnerr-Sauer(S-S)cavitation model.The original S-S cavitation model is modified by taking into account the typical effect of vortex flow.The partial pressure term which can describe the vortex quantitatively and qualitatively is confirmed asρmω2xr2c and is considered into the R-P equation of the modified S-S cavitation model.Comparison between the numerical and experimental results shows good agreement in the form and evolution of cavities,including attached cavities(AC)and tip vortex cavities(TVC).The vorticity transport equation is utilized to investigate the dynamic mechanisms of the vortex development around the TVC.Further analyses indicate that cavitation in the TV flow influences the pressure in the core of the cavity and the local flow patterns.Typical vortex structures in the TV cavitating flow include TV,secondary vortex(SV)and wake vortex(WV).The direction and magnitude of the rotation effect can be described by axial vorticity which is drawn on the iso-surface of Q=1×105s-2.The development of the TV cavitating flow can be divided into two stages:Stage I,the development and fusion of TV,SV,stage Ⅱ,the dissipation of SV.The stretching term dominates the evolution of TV,and the dilatation term is the main reason in the mergence process of SV.     

隔河岩电站1号水轮机水力稳定性的若干问题研究

根据原型实测动水压力、空化噪声、补气、大轴摆度及水轮机检查等成果,研究了水轮机水力稳定性.成果表明:在168～233 MW负荷区,水轮机存在低频涡带空化,脉动压力、补气、噪声、摆度等大幅度增加,尤其在177 MW附近脉动压力和大轴摆度已达到甚至超过厂商保证值;在所研究负荷范围内,水轮机都存在高频激波空化噪声,主要发生在转轮叶片及缝隙中,在满负荷时最为明显,研究发现已出现空蚀前兆.     

二滩水电站机组运行稳定性研究

运行稳定是水轮发电机组长期安全运行的重要保证。以二滩水电站6台机组的稳定性试验数据为例,分析了二滩水电机组的运行稳定性。试验数据分析表明,机组运行工况可划分为小负荷区、涡带工况区、大负荷区,大负荷区机组运行稳定性最佳。建议机组避开不稳定运行区域运行。     

Contribution of vortex Rossby wave to spiral rainband formation in tropical cyclones

The contribution of the vortex Rossby wave （VRW） to framework of a barotropic non-divergent TC-like vortex model. the spiral rainband in the tropical cyclones （TCs） is studied in the The spectral function expanding method is used to analyze the disturbance evolution of a defined basic state vortex. The results show that the numerical solution of the model is a superposition of the continuous spectrum component （non-normal modes） and the discrete spectrum component （normal modes）. Only the eyewall and the rainbands in the inner core-region in a TC are related to the VRW normal modes, whereas the continuous spectrum wave components play an important role in the formation of secondary-, principal-, and distant- rainbands, especially the outer rainband, through an indirect way. The continuous spectrum can promote the development of the TC circulation for the occurrence of a mesoscale instability. The convection under a favorable moisture condition will trigger the inertial-gravitational wave to cause the formation of unstable spiral bandliked-disturbances outside of the eyewall. The complicated interaction between the basic state-vortex and the VRW disturbances will cause a positive feedback between the TC circulation and the rainband.     

A SEMI-CIRCLE THEOREM FOR UNSTABLE PERTURBATION IN TROPICAL CYCLONE-SCALE VORTICLES

In this paper, we discusses the spectrum distribution of baroclinic disturbances in tropical cyclone-scale vortices with the assumption that the basic flow does not vary with height. The semi-circle theorem for the unstable perturbation is obtained and the upper bound of growth rate can be estimated. The upper bound of instability growth rate increases with the increase of the maximum basic-state tangential wind speed, angular speed, inertial parameter, absolute vorticity, radial gradient of absolute vorticity and static stability. The upper bound of instability growth rate is greater for vortices of larger horizontal scale and smaller vertical scale and lower wave-number disturbances.     

附加附属管的隔水管涡激振动离散涡模拟

该文采用离散涡数值方法,对附加附属管的隔水管涡激振动问题进行了模拟。计算了配置4–10根附属管情况下隔水管涡激振动问题,将附加附属管后隔水管的受力系数、振幅与裸管的结果进行比较,同时也研究了不同来流攻角对附属管涡激振动的影响。结果表明,附加附属管后隔水管振幅与裸管相比,受力系数与振幅均有不同程度地减小,对隔水管涡激振动的抑制效果明显。不同数量的附属管对来流攻角的敏感性也各不相同,附加6、8和10根附属管都有很好的抑制效果,其中附加10根附属管对隔水管的抑制效果最好,减幅约达到50%,且对来流攻角的敏感性也最低。     

EVOLUTION OF SINGLE ELLIPTIC VORTEX RING

ABSTRACT:We study the evolution of single elliptic vortex ring for initial aspect ratio(AR)=2,4,6.The incompressible Navier-Stokes equations are solved by a dealiased pseudo-spectral method with 64~3 grid points in a periodic cube.We find that there are three kinds of vortex motion as AR increases and vortex bifurcation occurs at a certain AR.The processes of advection,interaction,and decay of vortex ring are analyzed.Numerical results coincide with experiments and other numerical simulations.     

侧向进水口立轴旋涡数值模拟

为了研究侧向进水口立轴旋涡的运动特性,以RNG模型为基础,引入VOF方法捕捉自由液面的变化,对立轴旋涡的形态及其运动轨迹进行了三维数值模拟,并对旋涡水面线和三维速度分布进行了分析。结果表明,侧向进水口前的旋涡是非对称的,其涡轴是一条空间曲线,旋涡下部在进水口的抽吸拉伸作用下发生扭曲。旋涡运动可分为三部分,第一部分水面线呈漏斗状,与对称旋涡类似,第二部分旋涡运动逐渐从竖向转为横向,第三部分为横向运动。在旋涡的上半部,轴向速度随着水深的增加而增大,当旋涡逐渐由竖向转为横向运动时,轴向速度逐渐减小直至为零。最大切向速度发生在淹没深度的52%处。     

NUMERICAL SIMULATION OF FLOW OVER TWO CIRCULAR CYLINDERS IN TANDEM ARRANGEMENT

In this article,the 2-D unsteady viscous flow around two circular cylinders in a tandem arrangement is numerically simulated in order to study the characteristics of the flow in both laminar and turbulent regimes.The method applied alternatively is based on the finite volume method on a Cartesian-staggered grid.The great source term technique is employed to identify the cylinders placed in the flow field.To apply the boundary conditions,the ghost-cell technique is used.The implemented computational method is firstly validated through simulation of laminar and turbulent flows around a fixed circular cylinder.Finally,the flow around two circular cylinders in a tandem arrangement is simulated and analyzed.The flow visualization parameters,the Strouhal numbers,and drag and lift coefficients are comprehensively presented and compared for different cases in order to reveal the effect of the Reynolds number and gap spacing on the behavior of the flow.The obtained results have shown two completely distinct flow characteristics in laminar and turbulent regimes.