多束团不稳定性的模拟研究

利用模拟的方法研究了多束团不稳定性.SCBI程序(SIMULATION OF COUPLED-BUNCH INSTABILITIES)是一个用来模拟研究储存环上高频腔、真空盒内壁及其它腔形结构元件的长程尾场和中程尾场激发的多束团不稳定性的综合程序.在束团均匀分布情形下,比较了SCBI程序与ZAP程序的结果,两者非常一致.同时,利用SCBI程序对北京正负电子对撞机(BEPC)多束团改进方案(BEPCⅡ)的多束团不稳定性进行了详细的研究.     

Selkov模型不同扩散和流速下非Turing不稳定化学反应机制

建立了Selkov模型中间反应物具有不同扩散和不同流速条件下的反应 扩散 流动方程 ,理论分析了非Turing不稳定形成的条件 ,求得其参数区间 ,对Andresen的结论作了拓展 .研究还发现 ,在振荡Hopf区域之外 ,静止波动 (空间周期结构FDS)仍然可以存在 .因而 ,此结构存在的参数空间大于Andresen的结果 .同时 ,还将此种不稳定参数区间与Turing不稳定和差速流动引起不稳定 (DIFI)的结果进行了比较 ,结果发现静态FDS值总是处于DIFI临界曲线相应的最小值之上 ,这表明动力学机制是由DIFI不稳定造成的 ,DIFI不稳定区是产生静止波FDS不稳定结构的必要条件     

Bifurcation analysis and amplitude equations for viscoelastic convective fluids

Summary The possible bifurcations of a convective instability in viscoelastic fluid are studied. The viscoelastic behaviour is modelized by means of the Oldroyd type fluid whose parameters can be adjusted to suit a large class of polymeric fluids. We analyse in some detail bifurcations of codimension one (stationary or oscillatory convection) and codimension two for such kind of fluids. By a weak nonlinear analysis, the coefficients of the amplitude equations corresponding to the different bifurcations are also determined. It has been found that the nature of the convective solution depends crucially on both the viscoelastic parameters and the constitutive equation used to describe the fluid.     

Effect of the combined thermal and mass concentration gradients on the stability of a chemically reacting fluid in a porous medium

Summary The onset of instability, due to the combined effects of thermal and mass concentration gradients, is investigated in the hydrodynamic stability regime. It is found that the critical Rayleigh number, which determines the onset of instability, increases as the chemical reaction rate constant increases hyperbolically over a wide range of values at both moderate and high permeabilities. In addition, the instability grows with increase in porosity. Previous results show that the critical Rayleigh number rises linearly when only the mass concentration gradient is considered.     

Letter: Measuring the Strength of Dissipative Inflation

We comment on recently proposed dissipative inflationary models. It is shown that the strength of the inflationary expansion is related to a specific combination of thermodynamic variables which is known to measure the instability of self-gravitating dissipative systems.     

非线性腔中横模的时空不稳定

通过数值模拟研究了非线性腔的横向效应，非线性表现在光场通过放大介质时所引起的相位变化与强度有关，模拟结果显示，随着非线性系数的变化，腔中的光场分布表现丰富的时空不稳定行为，其中包括横模跳变，时空周期行为以及光学涡旋的出现。     

Pattern selection in thermal convection in an annulus

Summary We report an analysis of the selected wave vector, as a function of the Rayleigh number, in thermal convection in annular geometry. The patterns have been studied by means of shadowgraph and, more quantitatively, with a sweeping laser beam. The selection processes have been investigated in cells of different sizes. We find that the wavevector increases for radial aspect ratios less than 2, whereas it decreases for larger aspect ratios. The thresholds for time-dependent regimes have also been measured.     

激光烧蚀瑞利泰勒不稳定性数值研究

 介绍了激光烧蚀流体不稳定性计算程序EUL3D,其计算结果与Takabe 公式、FAST2D程序和LASNEX程序的结果以及日本大阪大学激光烧蚀瑞利—泰勒(RT)不稳定性实验,都较好符合,发现了横向电子热传导烧蚀在长波长扰动的非线性瑞利—泰勒不稳定性演变中起重要作用。在合理近似下,得到了烧蚀RT不稳定性线性增长率的预热致稳公式,此公式除包含了烧蚀对流致稳和密度梯度致稳因素外,还包含了Atwood数变小致稳因素,因此与各种情况的二维计算值都很好符合。     

用NND格式模拟Kelvin-Helmholtz不稳定性

使用局部Steger-Warming通量分裂方法,利用NND有限差分格式求解守恒型流体力学方程组,实现对Kelvin-Helmholtz不稳定性的数值模拟.数值模拟给出的线性增长率与线性稳定性分析给出的结果相符合,得到锐利的界面变形图像.     

任意Atwood数Rayleigh-Taylor和 Richtmyer-Meshkov 不稳定性气泡速度研究

本文将Layzer气泡模型推广到任意界面Atwood数情形,得到了自洽的微分方程组.该模型描述了气泡从早期的指数增长阶段到气 泡以渐近速度上升的非线性阶段的发展过程,给出了Rayleigh-Taylor(RT)和Richtmyer-Meshkov(RM)不稳定性的二维和 三维气泡速度渐近解,还求出了二维和三维RT不稳定性气泡顶点附近速度的解析解.     

Self-sustained oscillations in a homogeneous-density round jet

The paper is devoted to a new phenomenon of self-sustained oscillations triggered in a round free homogeneous-density jet. It was shown by the experimental investigations supported by the numerical approach based on extensive-Large Eddy Simulations studies that such a self-sustained regime can be established in a homogeneous-density jet, provided that the boundary layer at the nozzle exit is sufficiently thin and the perturbation level sufficiently low. The growth rate of the naturally amplified unstable modes is high enough to induce backflow leading to self-excited oscillations.     

辐射烧蚀界面的单模Rayleigh-Taylor不稳定性分析

首先对惯性约束聚变(ICF)遇到的流体力学界面不稳定性作了简要的分析;其次讨论了Rayleigh-Taylor(RT)不稳定性在ICF中所起的作用;第三,根据一维数值计算结果,按照考虑密度梯度和烧蚀致稳的RT不稳定性增长的定标规律对不稳定性增长作了估计。最后在计算结果的讨论中,对有关实验测量提出某些倾向性的建议。     

Nonlinear Effects Related to the Simultaneous Excitation of Three Instabiities in Magnetized Plasma

Experimental results are presented on the nonlinear effects related to the simultaneous excitation of three low‐frequency instabilities in the magnetized plasma column of a Q‐machine, namely the potential relaxation instability, the electrostatic ion‐cyclotron instability and the Kelvin‐Helmholtz instability. The influence of electron drift and magnetic field intensity on appearance, dynamics and mutual interaction of these instabilities was investigated (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Condition for convective instability of dark solitons

Simple derivation of the condition for the transition point from absolute instability of plane dark solitons to their convective instability is suggested. It is shown that unstable wave packet expands with velocity equal to the minimal group velocity of the disturbance waves propagating along a dark soliton. The growth rate of the length of dark solitons generated by the flow of Bose-Einstein condensate past an obstacle is estimated. Analytical theory is confirmed by the results of numerical simulations.     

Collisional effects on the current-filamentation instability in a dense plasma

The collisional current-filamentation instability (CFI) is studied for a nonrelativistic electron beam penetrating an infinite uniform plasma. It is analytically shown that the CFI is driven by the drift-anisotropy rather than the classical anisotropy of the beam and the background plasma. Therefore, collisional effects can either attenuate or enhance the CFI depending on the drift-anisotropy of the beam-plasma system. Numerical results are given for some typical parameters, which show that collisional effects cannot stabilize but enhance the CFI in a dense plasma. Thus, the CFI may play a dominant role in the fast electron transport and deposition relevant to the fast ignition scenario (FIS).     

激光烧蚀RT不稳定性线性增长率和非线性行为的数值研究

 给出了不同情况下多种波长的烧蚀瑞利 泰勒不稳定性线性增长率的二维计算结果，并与Takabe公式和Sanz公式进行了比较，最后给出了单模激光烧蚀RTI非线性发展行为的数值结果。线性增长率的二维计算结果很好验证了Sanz公式，表明β值应是2，不是3。当烧蚀速度较大或烧蚀面较宽时，用Takabe公式估计的烧蚀RTI线性增长率与二维计算值明显不符。     

非理想流体中Rayleigh-Taylor和Richtmyer-Meshkov不稳定性气泡速度研究

在随气泡顶端运动的坐标系中, 通过将理想流体模型推广到非理想流体的情况, 研究了流体黏性和表面张力对Rayleigh-Taylor (RT)和Richtmyer-Meshkov (RM)不稳定性气泡速度的影响. 首先得到了RT和RM不稳定性气泡运动的控制方程 (自洽的微分方程组); 其次给出了二维平面坐标和三维柱坐标中气泡速度的数值解和渐近解, 并定量分析了流体黏性和表面张力对RT和RM气泡速度和振幅的影响. 结果表明: 从线性阶段到非线性阶段的全过程中, 非理想流体中的气泡速度和振幅小于理想流体中的气泡速度和振幅. 也就是说, 流体黏性和表面张力对RT和RM不稳定性的发展都具有致稳作用. 关键词： Rayleigh-Taylor不稳定性 Richtmyer-Meshkov不稳定性 气泡速度 非理想流体     

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证明了用能量原理推导出的关于圆柱等离子体局部模的Suydam不稳定性,对应的动能变化量趋于无穷大,故其增长率趋于零。通过对Hain-Lust方程求解知道,Suydam不稳定性的真实物理意义是,它对应于一系列低模数的广域不稳定模,其增长率随模数加大而减小。实际上,任何扭曲模分析都一定要正确处理共振面附近的求解问题。提出了不满足Suydam判据时外扭曲模的一个求解方法。     

Effects of Lewis number,density ratio and gravity on burning velocity and conditional statistics in stagnating turbulent premixed flames

DNS is performed to analyse the effects of Lewis number (Le), density ratio and gravity in stagnating turbulent premixed flames. The results show good agreement with those of Lee and Huh (Combustion and Flame, Vol. 159, 2012, pp. 1576–1591) with respect to the turbulent burning velocity, S_T, in terms of turbulent diffusivity, flamelet thickness, mean curvature and displacement speed at the leading edge. In all four stagnating flames studied, a mean tangential strain rate resulting in a mean flamelet thickness smaller than the unstretched laminar flame thickness leads to an increase in S_T. A flame cusp of positive curvature involves a superadiabatic burned gas temperature due to diffusive–thermal instability for an Le less than unity. Wrinkling tends to be suppressed at a larger density ratio, not enhanced by hydrodynamic instability, in the stagnating flow configuration. Turbulence is produced, resulting in highly anisotropic turbulence with heavier unburned gas accelerating through a flame brush by Rayleigh–Taylor instability. Results are also provided on brush thickness, flame surface density and conditional velocities in burned and unburned gas and on flame surfaces to represent the internal brush structures for all four test flames.     

托卡马克等离子体逃逸放电中的驰豫振荡与电子回旋激射不稳定性

我们研究了托卡马克等离子体进制电子引起的电子回旋激射不稳定性发生的条件，发现由反常多普勒效应及切伦科夫效应确定的准稳态速度分布又会激发电子回旋激射不稳定性，且其对本底电子回旋辐射的放大频段低于回旋频率，这与ＨＬ－１实验观察一致。