基于微区统计特性的数字散斑相关测量亚像素位移梯度算法

提出了一种形式简单、求解快速、稳定性好和精度高的用于数字散斑相关方法亚像素位移求解的微区梯度算法。介绍了算法原理,并给出了四种不同模式的算法公式。采用模拟图像,介绍了四种模式在计算时间、计算子窗口时对结果的影响,并对适用范围和求解精度等方面进行了分析对比。最后的计算实例验证了算法的可行性和优越性。     

量子力学基态能量计算的改进蚁群优化算法

为进一步减少迭代次数和改善解的质量,对蚁群优化方法进行改进.在求解体系基态能上与传统的变分法相比有很大的优势.求解了氦原子基态能量,并应用于不同半径量子点中砷化镓类氢施主基态能量的计算.通过与变分法和遗传算法的比较,展示了算法的性能.     

一种测量多相流流型的ECT图像重建算法

提出了一种新的电容层析成像图像重建算法-IMNSNOF算法.该算法在分析极小范数解的基础之上针对ECT逆问题的特点对其进行改进,并利用奇异值分解定理证明这种改进的数值稳定作用.在此基础上建立新的日标泛函,并在求解该泛函的过程中采用正则技巧对其进行改进确保数值解的稳定性.利用非闭合电极ECT传感器实测了多相流沿流向的流型...     

时域自适应精细算法求解对流热传导问题

应用时域自适应精细算法求解对流传热问题.通过展开技术,可更准确地描述变量随时间的变化,同时将时空耦合的初边值问题转化为一系列的空间边值问题,并采用有限元方法递推求解.自适应技术可弥补时间步长不同时可能造成的计算精度损失.并进行了数值检验.     

水平层状介质中电磁场并矢Green函数的一种快速新算法

本文利用提取直射波并结合自适应数字滤波等技术提出一种计算水平层状介质中电磁场并矢Green函数的快速算法. 首先将谱域Green函数中表征均匀介质作用的直射波提取出来并对其积分进行解析计算,这种处理降低了谱域Green函数的奇异性,可在很大程度上缩短其积分收敛区间. 然后在将谱域Green函数剩余部分对应积分转化为三个快速下降积分的基础上,引入一种自适应数字滤波算法对其进行快速求解. 最后通过具体算例验证了本文所述算法的有效性. 关键词： 并矢Green函数 快速算法 水平层状介质     

拖曳线列阵机动时的一种目标检测算法研究

根据水动力学流体运动特性,对Burgess建立的水中运动拖缆模型进行了修正,并基于有限差分法和牛顿迭代法提出修正模型的实时求解方法。同时,在阵形求解理论和自适应宽带聚焦波束形成理论的基础上,提出一种畸变阵的目标检测算法。将实时计算所获得的阵元位置信息作为变量引入自适应宽带聚焦波束形成算法中进行目标检测。并进行了海试。试验中在常规算法失效的情况下该算法准确的检测到目标。数据处理结果表明,该算法在阵形大幅度畸变时的输出信噪比比常规算法高15 dB。解决了拖线阵在机动(转向)过程因阵形畸变而无法检测目标的问题,充分验证了该算法的有效性。      

混沌量子克隆算法求解认知无线网络频谱分配问题

对认知无线网络中的频谱进行有效分配是实现动态频谱接入的关键技术.考虑3次用户对频谱的需求和分配的公平性,给出了频谱分配的数学模型,并将其转换为以最大化网络收益为目标的带约束优化问题,进而提出一种采用混沌量子克隆优化求解的认知无线网络频谱分配算法, 并证明了该算法以概率1收敛.最后,通过仿真实验比较了本文算法与颜色敏感图着色算法、基于遗传算法的频谱分配、基于量子遗传算法的频谱分配的性能.结果表明:本文算法性能较优, 能更好地实现网络收益最大化. 关键词： 混沌量子克隆算法 认知无线网络 频谱分配     

Monte-Carlo法模拟二维Ising模型 ——Metropolis、Swendsen-Wang与Wolff算法的对比

Ising模型是一种应用广泛的磁自旋相互作用模型,其二维情况严格求解极为复杂,实际应用中通常利用Wolff算法进行模拟.Wolff算法目前被认为是最好的聚类翻转Monte-Carlo算法.Metropolis和Swendsen-Wang算法同Wolff算法类似,理论上也适用于Ising模型的模拟,却未有文章将三者系统对比来说明Wolff算法的优越性,本科课程对于Monte-Carlo算法的介绍也较少.本文分别利用三种算法模拟了二维Ising模型,介绍了其算法原理、参数选择及实现方式,分析对比了三种算法的模拟效果和适用范围,从而总结说明在二维Ising模型的模拟中Wolff算法效果更好的原因.     

基于OpenFOAM的投影法磁流体求解器开发与验证

在开源计算流体力学C++工具包OpenFOAM环境下开发了低磁雷诺数条件下的磁流体求解器,并进行了验证。采用投影算法求解动量方程和压力泊松方程;采用非结构网格同位相容守恒算法求解电势泊松方程、感应电流和洛伦兹力;采用边界耦合方法求解流固耦合电势场。通过对均匀磁场下导电方管和导电圆管内的完全发展磁流体层流的数值模拟和解析解的对比,对求解器进行了验证。进一步对非均匀强磁场作用下导电方管和导电圆管内完全发展磁流体层流进行了数值模拟,并与ALEX实验结果进行了比较。数值解和实验结果吻合良好。所开发的求解器可用于复杂结构强磁场作用下磁流体的数值模拟研究。     

基于Voronoi图和动态自适应蚁群算法的UAV航迹规划

以UAV航迹规划为应用背景,提出了一种基于Voronoi图和动态自适应蚁群算法的航迹规划方法;为了提高航迹规划问题最优解的质量及全局求解能力,克服传统蚁群算法收敛速度慢、容易陷入局部最优等缺点,提出了一种动态自适应蚁群算法;采用动态自适应航迹点选择策略并将信息素更新规则和挥发系数进行动态自适应调整变化来对蚁群算法进行了改进,提高了算法的求解效率;根据战场已知威胁源生成Voronoi加权图,并与所提的动态自适应蚁群算法相结合求解规划空间中的最优航迹;考虑到UAV的物理约束限制,对生成的可行航迹进行平滑优化;仿真结果表明,该方法能够为UAV规划出一条满足要求的可飞航迹,验证了所提方法在解决航迹规划问题时是可行、有效的;     

共轭梯度法求解双曲传热多宗量反问题

提出双曲传热反问题热物性参数和边界条件多宗量联合反演的一般数值求解模式,考虑了非均质和分布参数的影响,时域上采用时域精细算法进行离散,建立了便于敏度分析的有限元正演模型.由最小二乘原理建立反演模型,应用共轭梯度法进行求解.探讨了时间步长和测量误差对反演结果的影响,并进行了数值验证.     

MODELLING of a two-dimensional photonic crystal with line defect for a laser gas sensor application

We present the results of a numerical analysis of a two-dimensional photonic crystal with line defect for a laser gas sensor working in a slow light regime. The geometrical parameters of photonic crystals with three different line defects were numerically analyzed: a missing row of holes, a row of holes with changed diameter and air channel. Antireflection sections were also analyzed. The simulations were carried out by MEEP and MPB programs, with the aim to get the values of a group refractive index, transmission and a light-gas overlap as high as possible. The effective refractive index method was used to reduce the simulation time and required computing power. We also described numerical simulation details such as required conditions to work in the slow light regime and the analyzed parameters values’ dependency of the simulation resolution that may influence the accuracy of the results.     

Optimization of the parameters of a virtual-cathode oscillator with an inhomogeneous magnetic field

A two-dimensional numerical model is used to study the generation of powerful microwave radiation in a vircator with an inhomogeneous magnetic field applied to focus a beam. The characteristics of the external inhomogeneous magnetic field are found to strongly affect the vircator generation characteristics. Mathematical optimization is used to search for the optimum parameters of the magnetic periodic focusing system of the oscillator in order to achieve the maximum power of the output microwave radiation. The dependences of the output vircator power on the characteristics of the external inhomogeneous magnetic field are studied near the optimum control parameters. The physical processes that occur in optimized virtual cathode oscillators are investigated.     

室温磁制冷主动式磁蓄冷器数值模拟

提出了一个研究工作参数、设计参数对主动式磁蓄冷器(AMR)制冷性能影响的数值模型。三个主要参数包括:质量流量m、频率f、蓄冷器孔隙率ε,被用来表征AMR的制冷能力。数值模拟的结果表明:对一个AMR而言,存在一个最佳孔隙率;在某一确定孔隙率条件下,AMR存在最佳换热流体质量流量和最佳工作频率;与高频相比,AMR在较低频率下有更好的制冷性能,一味提高频率并不一定能提高AMR的制冷量。模拟结果对磁制冷样机的设计、工作参数的选择有很大的指导意义。     

Measurement of the parameters of a pulse propagation path in a medium with noise, dispersion, and selective absorption

A method of signal processing is proposed that allows one to determine the propagation time of pulsed signals, the dispersion, and the selective absorption in the medium when the shape of the pulses is substantially distorted under the effect of the two aforementioned factors and noise. The method is based on measuring the complex frequency response of the propagation path for a narrow frequency band within which the frequency response is governed by the desired parameters of the medium. To determine the parameters of the path from the data of acoustic measurements, both cepstral analysis and numerical differentiation are used. The data of numerical experiments are presented.     

Charging Quantum Batteries with a General Harmonic Driving Field

A general harmonic driving field was considered for improving the charging efficiency of the quantum battery system. Charge saturation was used to describe the charging efficiency, where the charging mode is divided into saturated and unsaturated. The relationships between the time-dependent charge saturation and parameters of the general driving field were evaluated both analytically and numerically. The Floquet theorem was used to express time-dependent charge saturation with the quasienergy and Floquet states of the system. The analytical and numerical results were used to identify the best parameter values for optimizing the charging efficiency.     

大参数周期信号随机共振解析

通过调节双稳系统参数实现大参数频率范围内周期信号的随机共振, 在工程上具有重要意义. 推导了双稳系统参数的归一化变换, 利用归一化变换原理对大参数周期信号的随机共振进行了数值仿真, 阐明该原理适用于任意频率周期信号. 对大参数随机共振用电路模拟进行了实验验证, 揭示了通过调节双稳系统参数可以实现大参数频率范围内的随机共振. 分析了二次采样实现大参数周期信号随机共振的机理, 通过数值仿真与参数归一化变换方法进行了比较. 仿真结果表明, 在输入信号幅度变化的情况下, 二次采样方法易出现发散现象, 而归一化变换具有更好的稳定性与适应性.     

Ferrite resonance isolators in coaxial,strip, and rectangular waveguides with a dielectric

An analysis is given of ferrite resonance isolators in coaxial and strip lines and in a rectangular waveguide containing a dielectric. The analysis is based on numerical calculations (using a computer) using the results obtained in [1]. The results enable us to estimate the influence of the thickness of the dielectric, its permittivity, the ferromagnetic resonance line width and other parameters, upon the bandwidth of the system and upon the optimum magnetization ensuring the maximum isolation for the chosen system parameters and center frequency of the band. In this paper the terminology used is the same as in [1].     

Parameter estimation for chaotic systems with a Drift Particle Swarm Optimization method

Inspired by the motion of electrons in metal conductors in an electric field, we propose a variant of Particle Swarm Optimization (PSO), called Drift Particle Swarm Optimization (DPSO) algorithm, and apply it in estimating the unknown parameters of chaotic dynamic systems. The principle and procedure of DPSO are presented, and the algorithm is used to identify Lorenz system and Chen system. The experiment results show that for the given parameter configurations, DPSO can identify the parameters of the systems accurately and effectively, and it may be a promising tool for chaotic system identification as well as other numerical optimization problems in physics.