用DES分离涡方法数值模拟串列双圆柱绕流问题

主要开发了SST-DES和SST-DDES两种分离涡方法,并集成到基于开源代码平台Open-FOAM开发的CFD求解器naoe-FOAM-SJTU中.选用高Reynolds(雷诺)数下串列双圆柱绕流问题作为标准算例来验证所开发的分离涡方法.该标准算例此前在美国国家航空航天局兰利研究中心的两个不同风洞做过物理试验.该研究将数值模拟得到的时均流场信息和一些其他物理量同物理试验结果比较,同时讨论分析了三维瞬态流场结构.结果表明该文开发的SST-DES和SST-DDES分离涡方法能够解决高Reynolds数下有大量流动分离的复杂流动问题.     

Vortex-induced vibrations of two mechanically coupled circular cylinders with asymmetrical stiffness in side-by-side arrangements

Vortex-induced vibrations of two mechanically coupled circular cylinders with asymmetrical stiffness in side-by-side arrangements are numerically investigated in a uniform flow at a low Reynolds number of 100. The oscillation system is restricted to the cross-flow direction, giving rise to a coupled two-degree-of-freedom response. Attention is placed on the two cylinders with a center-to-center gap ratio of 4 and a mass ratio of 10. The flow dynamics are described by the two-dimensional incompressible Navier–Stokes equations and resolved by the Characteristic-Based-Split finite element method. The stiffness of the first spring that connects the lower cylinder to the wall is chosen such that the vortex-induced vibration of the associated single cylinder with the same stiffness undergoes a pre-synchronization (state A), synchronization (state B) and post-synchronization (state C), respectively. In each state, the stiffness of the second spring connecting the lower and upper cylinders is varied to cover both synchronization and de-synchronization regimes. Numerical results show that the mechanically coupled system locks on the first-mode natural frequency in state A, while on the second-mode natural frequency in states B and C. In such a lock-in regime, the amplitude ratios of the two oscillating and coupled cylinders collapse well onto the corresponding first or second free-vibration mode. The overall coupling mechanism is further explained in terms of the hydrodynamic coefficients, frequency characteristics, wake patterns and effective added mass, quantifying the associated fluid-structure interactions against those governing a single-degree-of-freedom, single-cylinder system.     

并列双方柱绕流的大涡模拟及频谱分析

应用二阶全展开ETG有限元离散格式与大涡模拟相结合的方法,对间距比为1.5情况下的并列双方柱绕流进行了数值模拟．由王小华、何钟怡提出的二阶全展开ETG有限元方法通过对N-S方程中的时变项进行Taylor展开,从而把时间导数用空间导数来代替,其作用相当于引入了人工粘性．计算得到了不同时刻的流线图,给出了两方柱的阻力系数、升力系数以及两对称点上流向速度随时间的变化历程,并采用谱分析的方法研究了对称边界条件下并列双方柱绕流的频谱对称性问题．为了消除初始条件的影响,在所取样本中去除了计算中初始段的数据,分别分析了阻力系数、升力系数以及两对称点上流向速度的频谱．结果表明:对称边界条件下,双方柱绕流运动参量的时域过程虽然是不对称的,但频域过程却是对称的．     

Zur Tiefendosis- und Vernetzungsgradverteilung bei Bestrahlung von Polymeren mit energiereichen Elektronen

Aus experimentell ermittelten Tiefendosisverteilungen von energiereichen Elektronen wurde eine Formel zur mathematischen Beschreibung des Tiefendosisverlaufs im Energiebereich 0,5–3 MeV entwickelt, die als Grundlage zur Berechung von Dosis- und Vernetzungsgradverteilungen im bestrahlten Material dienen kann.

Als Beispiel werden einige Verteilungen diskutiert, die sich bei Mehrseitenbestrahlung von zylindrischen Absorbern mit energiereichen Elektronen ergeben.     

Low-diffusion preconditioning scheme with linear cut-off parameter

A low-diffusion preconditioning Roe scheme with an adjustable parameter to control the numerical dissipation is proposed. This scheme reflects the real physical dissipation in the extremely low-speed region. The preconditioning parameter in scheme is improved by linear cut-off and correction factor. The numerical results of low-Mach-number/low-Reynolds-number steady solutions of viscous flows past a circular cylinder and past a NACA0012 airfoil show the efficiency of the new scheme.     

On the diffusion equation and diffusion wavelets on flat cylinders and the n‐torus

In this paper we study the solutions to the diffusion equation on some conformally flat cylinders and on the n‐torus. Using the Clifford algebra calculus with an appropriate Witt basis, the solutions can be expressed as multiperiodic eigensolutions to the parabolic Dirac operator. We study their fundamental properties, give representation formulas of all these solutions and develop some integral representation formulas. In particular we set up a Green type formula for the solutions to the homogeneous diffusion equation on cylinders and tori. Then we also treat the inhomogeneous diffusion equation diffusion with prescribed boundary conditions in Lipschitz domains on these manifolds. As main application, we construct well localized diffusion wavelets on this class of cylinders and tori by means of multiperiodic eigensolutions to the parabolic Dirac operator. We round off with presenting some concrete numerical simulations for the three dimensional case. Copyright © 2010 John Wiley & Sons, Ltd.     

Numerical-Analytic Solution of Boundary-Value Stress-Strain Problems for Rotating Anisotropic Cylinders

A numerical-analytical approach is proposed to solve boundary-value stress-strain problems for hollow inhomogeneous cylinders under centrifugal loading. Their elastic characteristics vary in both radial and circumferential directions. The governing system of ordinary differential equations is derived using Fourier series for stresses and displacements. It is solved by the discrete-orthogonalization method. Solutions to specific problems are exemplified __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 82–87, August 2005.     

Effective nonlinear susceptibilities of random mixture of coated granular cylinders

The effective nonlinear response of the random mixtures of coated granular cylinders is studied by means of the field-dependent T-matrix approach. The composite considered here is composed of nonlinear cylindrical grains with linear concentric shells randomly distributed in a linear host. Exact expressions of effective dielectric function and the higher-order susceptibilities in the low field are given. The influence of interfacial shells to the effective third-order nonlinear response of the mixture system are discussed in detail.     

Effets de la surface libre et du rapport d'aspect sur la transition de l'écoulement de Taylor–CouetteEffects of free surface and aspect ratio on the transition of the Taylor–Couette flow

This work deals with the study of free surface and aspect ratio effects on the instability of the Taylor–Couette flow. The experimental results have been obtained using the polarographic technique. The time-averaged values of the wall velocity gradient have been determined and the spectral analysis of its fluctuations has been done. These first results show the existence of a critical height Hc of the liquid column. For an aspect ratio Γ=H/d<10, the laminar turbulent transition occurs without azimuthal wave mode. To cite this article: A. Madamdia et al., C. R. Mecanique 331 (2003).     

Experimental study on the wake behind tapered circular cylinders

The flow around tapered cylinders can act as basic models for numerous bluff body flows with a spanwise variation of either the body shape or the inflow conditions. The well-known vortex street is influenced by strong three-dimensional effects from the spanwise variation of the shedding frequency, namely oblique vortex shedding and vortex dislocations. Stereo-PIV was chosen to study these phenomena, since it allows analyzing planes with the full three-component, instantaneous velocity fields and local, time-dependent variations in the same setting. Hence, detailed aspects of the vortex dislocation phenomenon are presented. Single vortex dislocation events are presented through the local variation of the three measured velocity components u, v and w. Longer time-series reveal both period and location of these dislocation events, as well as quantity and sizes of the cells of constant shedding velocity in between them. The influence of the Reynolds number and the cylinder aspect ratio on the vortex cells could be shown. The analysis of the vortex shedding behavior shows good agreement with previously published results. At the same time, the applied PIV technique provides more spatial information than point-based measurements and offers insight into a Reynolds number range that is currently out of reach of Direct Numerical Simulations.