Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking

In this paper, we propose a spectral projection of a regularized Boussinesq system for wave propagation on the surface of a fluid. The spectral method is based on the use of Legendre polynomials, and is able to handle time-dependent Dirichlet boundary conditions with spectral accuracy.The algorithm is applied to the study of undular bores, and in particular to the onset of wave breaking connected with undular bores. As proposed in [2], an improved version of the breaking criterion recently introduced in [5] is used. This tightened breaking criterion together with a careful choice of the relaxation parameter yields rather accurate predictions of the onset of breaking in the leading wave of an undular bore.     

A method to recover water-wave profiles from pressure measurements

An operational formulation is proposed for reconstructing a time series of water surface displacement from waves using measurements of pressure. The approach is based on the fully nonlinear formulation for pressure below traveling-wave solutions of Euler’s equations developed by Oliveras, Vasan, Deconinck and Henderson. Its validity is tested using experiments in which both the pressure and the surface displacement are measured. The experiments include a wave system that is Galilean invariant – cnoidal waves, and wave systems that are not – reflected cnoidal waves and wave groups. We find that since the proposed formulation is nonlinear, it reproduces the amplitude spectrum of the measured surface displacements better than the hydrostatic model and better than the linear model that takes into account the pressure response factor due to small amplitude waves (the transfer function). Both the proposed formula and the transfer function reconstruct the surface reasonably well, with the proposed formula’s being about 5% more accurate.     

带温度补偿的分布式光纤温度传感系统设计

针对分布式光纤温度传感系统(Distributed Optical Fiber Temperature Sensing System,DTS)在线测温精度不高的问题,提出了使用光纤布拉格光栅(Fiber Bragg Grating,FBG)解调仪对DTS进行温度补偿。对不带温度补偿的DTS进行了温度测量和数据分析,证明了进行温度补偿的必要性。设计了带温度补偿的DTS并进行了温度测试。实验结果表明,在使用FBG解调仪对DTS进行温度补偿后,DTS的温度精确度可以达到0.3℃。     

相移阴影莫尔条纹正交化解调技术

提出一种基于克莱姆正则化分析法的三帧自标定相移阴影莫尔三维轮廓技术.该技术首先采用移动光栅的方法获得相移条纹图,然后通过不同帧相移条纹图相减去除条纹图背景,进而结合克莱姆正交化法和最小二乘法,发展了一种相位解调方法,提取了测量相位.以五步Harlharan算法为参考,用不同算法对同一物体表面进行测量.结果表明,相对于典型的三步相移法和主量分析方法,提出的方法测量得到的相位误差最小(0.5rad),且简化了测量过程.     

大气湍流对空间激光通信跟踪系统的影响

基于大气信道内的空间激光通信演示验证实验,对系统光斑跟踪精度的影响因素进行了分析,研究了大气湍流对光斑跟踪精度的影响,建立了光斑质心检测模型,设计了一套信标光光斑粗精复合跟踪系统.搭建了室内测试实验系统,完成了大气湍流对光斑跟踪精度影响的测量,结果表明在中弱湍流时,跟踪精度随湍流增大有近似线性关系,系统整体跟踪精度在5~15μrad之间,可较好地完成光斑跟踪功能.在野外环境开展的飞机-飞机激光通信演示实验中,对伺服系统的跟踪性能及跟踪精度进行实际测量,整体跟踪精度不大于15μrad,与室内实验测试系统基本一致.     

陆用定位定向系统定位精度标准检测线设计

定位定向系统是自行火炮的核心设备,其定位精度直接影响火控系统射击诸元计算的准确性,是关键的战术技术指标。针对定位定向系统的定位精度在不同路线上的试验结果表现出的较大差异且陆用定位定向系统鉴定领域检测线不规范等问题,研究定位定向系统的定位误差产生机理,根据里程计标度因数误差和航向角误差这两种主要误差与定位误差定量关系,分析检测路形、路况对定位精度的影响,并通过行车实验验证了理论分析的准确性。考虑到建造成本和试验成本的实际问题,同时兼顾测试效率和工程可实现性,设计了一条简洁等效定位精度标准检测线,提出了定位定向系统定位精度试验场建设方案和选取最优原则,为科学鉴定定位定向系统的定位精度提供理论依据。     

渐进多尺度展开方法的精度和物理意义

多尺度渐进展开方法(MsAEM)是分析周期复合材料结构力学行为的代表性方法,可以通过加权残量等方法实现,作者曾针对MsAEM的精度和力学含义进行研究。本文对作者的工作进行了总结,进一步明确了一维周期结构的单元阶次、摄动阶次和精确解的关系,揭示了不同阶次虚拟载荷和影响函数的物理意义,从物理角度强调了二阶展开项是不可缺少的,并对未来工作进行了展望。     

FPM改进算法及在应力波传播问题中的应用

有限粒子法(FPM)是传统SPH方法的重要发展,大大提高了边界区域粒子的计算精度。然而在迭代计算过程中,高耗时和潜在的数值不稳定性是制约FPM应用的关键因素。通过对FPM基本方程进行矩阵分解,建立了一种特殊格式的FPM改进算法。该方法保持FPM方法在边界区域较高计算精度的同时,成功地规避了传统FPM方法对系数矩阵可逆性的限制,大大提高了计算效率。最后,将改进算法在一维应力波传播问题中予以实现,获得了较好的数值结果。     

基于加权最小二乘法的红外多站定位的研究

基于加权最小二乘法,建立了红外多站无源系统定位算法的数学模型,给出了方程的求解过程,并讨论了算法的实现.采用加权最小二乘法可有效的融合多个站点的信息,从而可提高系统的定位精度和可靠性.仿真结果表明:定位时所使用的站点数目越多,定位目标与站点的相对位置越好,距离越近,定位精度就越高,这对近程高精度定位的研究具有借鉴作用.     

Effect of ignition energy on the uncertainty in the determination of laminar flame speed using outwardly propagating spherical flames

The initial propagation processes of expanding spherical flames of CH₄/N₂/O₂/He mixtures at different ignition energies were investigated experimentally and numerically to reduce the effect of ignition energy on the accurate determination of laminar flame speeds. The experiments were conducted in a constant-volume combustion bomb at initial pressures of 0.07???0.7?MPa, initial temperatures of 298???398?K, and equivalence ratios of 0.9???1.3 with various Lewis numbers. The A-SURF program was employed to simulate the corresponding flame propagation processes. The results show that elevating the ignition energy increases the initial flame propagation speed and expands the range of flame trajectory which is affected by ignition energy, but the increase rates of the speed and range decrease with the ignition energy. Based on the trend of the minimum flame propagation speed during the initial period with the ignition energy, the minimum reliable ignition energy (MRIE) is derived by considering the initial flame propagation speed and energy conservation. It is observed that MRIE first decreases and then increases with the increasing equivalence ratio and monotonously decreases with increasing initial pressure and temperature. As the Lewis number rises, MRIE increases. The results also suggest that during the data processing of the spherical flame experiment, the accuracy of determination of laminar flame speeds can be enhanced when taking the flame radius influenced by MRIE as the lower limit of the flame radius range. Then the flame radius influenced by MRIE was defined as RFR. It can also be found that there exist nonlinear relationships between RFR and the equivalence ratio and Lewis number, and the RFR decreases with increasing initial pressure and temperature.