The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number

In this paper, numerical sensitivity analysis with respect to the Reynolds number for the flow past obstacle problem is presented. To carry out such analysis, at each time step, we need to solve the incompressible Navier-Stokes equations on irregular domains twice, one for the primary variables; the other is for the sensitivity variables with homogeneous boundary conditions. The Navier-Stokes solver is the augmented immersed interface method for Navier-Stokes equations on irregular domains. One of the most important contributions of this paper is that our analysis can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. Some interesting experiments are shown to illustrate how the critical Reynolds number varies with different geometric settings.     

Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems

For any quantity of interest in a system governed by ordinary differential equations, it is natural to seek the largest (or smallest) long-time average among solution trajectories, as well as the extremal trajectories themselves. Upper bounds on time averages can be proved a priori using auxiliary functions, the optimal choice of which is a convex optimization problem. We prove that the problems of finding maximal trajectories and minimal auxiliary functions are strongly dual. Thus, auxiliary functions provide arbitrarily sharp upper bounds on time averages. Moreover, any nearly minimal auxiliary function provides phase space volumes in which all nearly maximal trajectories are guaranteed to lie. For polynomial equations, auxiliary functions can be constructed by semidefinite programming, which we illustrate using the Lorenz system.     

Classical and quantum wave dynamics on time-dependent geometric graph

Geometric graph composed from a ring and a segment is considered. We deal with the Schrödinger (quantum) and the wave (classical) operators at the edges and the Kirchhoff conditions at the internal vertex. The lengths of the graph edges varies in time. Time evolution of a wave packet is studied in classical and quantum cases.     

A true random number generator based on the photon arrival time registered in a coincidence window between two single-photon counting modules

True random number generators are essential components for communications to be confidentially secured. In this paper a new method is proposed to generate random sequences of numbers based on the difference of the arrival times of photons detected in a coincidence window between two single-photon counting modules.     

基于SiPM和TCMPC的时间分辨拉曼散射测量技术研究

报道了一种基于硅光电信增管(SiPM)的时间相关多光子计数(TCMPC)技术并将其应用于时间分辨拉曼散射测量。相比于常规基于光电倍增管(PMT)或单光子雪崩二极管(SPAD)的时间相关单光子(TCSPC)技术,由于SiPM可以分辨信号脉冲的具体光子数,基于SiPM的TCMPC技术消除了信号脉冲包含的光子数必须小于等于1的限制,光子计数效率提高了10倍以上,大大节省了测量时间。此外,多光子测量比单光子测量能够得到更好的时间分辨率,时间分辨拉曼散射系统的仪器响应函数(IRF)从单光子81.4 ps缩短至双光子59.7 ps,因而可以用更窄的时间门限抑制荧光本底等噪声对拉曼散射测量的影响。使用TCMPC技术测量CCl₄在0.5和1.5 p.e.两个不同光子数阈值的拉曼峰的峰本比,后者较高的光子数阈值能进一步降低SiPM暗计数噪声的影响,增加了拉曼信号测量的信噪比,测量得到的CCl₄ 459 cm-1拉曼峰的峰本比是前者的6.4倍。将所述新的拉曼散射测量技术与基于PMT和锁相放大器(LIA)的传统拉曼散射测量技术进行了比较研究,前者由于可以使用仅有数十皮秒的测量门限,可以有效抑制荧光、环境杂散光和SiPM暗计数等噪声的影响,所得光谱具有更好的峰本比,测得CCl₄的459 cm-1拉曼峰和Si的一阶拉曼峰的峰本比分别是后者的3.9倍和5.5倍。     

Modeling of the loading path dependent magnetomechanical behavior of Galfenol alloy

The magnetomechanical behavior of single-crystal Galfenol alloy was found to be strongly dependent on the loading paths. An energy-based anisotropic domain rotation model, assuming that the interaction between domains can be ignored and the probability of the magnetic moment pointing along a particular direction is related to the free energy along this direction, is used to simulate the magnetostriction versus magnetic field and stress curve and to track the magnetic domain motion trail. The main reason for loading path dependent effect is the rotation/flipping of the magnetic domains under different loading paths. The effect of loading and unloading paths on 90° magnetic domain motion was studied by choosing different loading and unloading state and paths. The results show that prior loading magnetic field can make the 90° magnetic domains flip to the directions of 45° domains because the magnetic field is the driving force to make the domains rotate, and the final loading state and the loading path both have great influence on the motion of 90° magnetic domains.     

基于多信道无线传输的旋翼载荷测试技术研究

直升机旋翼系统载荷和强度飞行试验是对真实大气环境中旋翼系统应力载荷谱的研究,它提供的真实数据是理论计算所不能提供的。因此旋翼系统载荷试飞是直升机设计定型试飞中极其重要的项目。针对直升机旋翼系统载荷测试技术需求,采用模块化、冗余度和高集成的设计理念,通过多信道无线传输设计等技术,将采集的动态载荷数据调制、发射与解调,实现了多通道、高带宽和精同步的旋翼系统载荷数据采集与监控。该技术对于直升机旋翼系统载荷试飞中遇到的类似问题具有一定的借鉴意义。     

一种基于模态域波束形成的水平阵被动目标深度估计

水面水下目标分辨与识别一直是被动声呐探测领域的难题.利用一种水平阵模态域波束形成算法获得己知方位目标声源的各阶模态强度,将其与不同深度的各阶参考模态强度进行匹配,最终实现了对声源的深度估计.仿真结果表明,该算法可以在信噪比为-10 dB的情况下,用300Hz带宽的信号样本,实现对声源深度的有效估计.系统分析了不同参数和不同波导条件对该方法目标深度估计性能的影响.其中,阵元数越多,模态样本数越多,计算频段越宽,方位估计精度越高,有效阵长越长,深度估计的性能越好.阵元间距和波导深度的变化不会影响该方法的深度估计性能,并且该方法的深度估计性能在声速剖面、海底参数等波导条件存在扰动时具有鲁棒性.     

蛋白质INSM1中的锌指结构域ZF (4-5)的表达、纯化与表征

胰岛素瘤相关蛋白1（INSM1）是一类转录调节蛋白,通过其C-端的锌指结构域（氨基酸250-510）来识别序列特异性的DNA分子.INSM1的C-端包含有5个串联的锌指结构域,然而这些结构域的结构及其如何识别DNA的分子机制目前仍不清楚.通过重组构建的质粒pET-32m-INSM1（424-497）表达的蛋白质（氨基酸424-497）包含了最后两个锌指结构域4和5,简称为ZF（4-5）.该文详细研究了蛋白质ZF（4-5）的诱导表达条件,得到了较高产率的纯化蛋白.核磁共振（NMR）谱和圆二色谱（CD）揭示了Zn²⁺对稳定锌指蛋白结构的必要性,以及C2H2-Zn²⁺结合的组氨酸呈现为δ-异构方式.