Artificial boundary conditions for the numerical solution of the Euler equations by the discontinuous galerkin method

We present artificial boundary conditions for the numerical simulation of compressible flows using high-order accurate discretizations with the discontinuous Galerkin (DG) finite element method. The construction of the proposed boundary conditions is based on characteristic analysis and applied for boundaries with arbitrary shape and orientation. Numerical experiments demonstrate that the proposed boundary treatment enables to convect out of the computational domain complex flow features with little distortion. In addition, it is shown that small-amplitude acoustic disturbances could be convected out of the computational domain, with no significant deterioration of the overall accuracy of the method. Furthermore, it was found that application of the proposed boundary treatment for viscous flow over a cylinder yields superior performance compared to simple extrapolation methods.     

河套蜜瓜糖度可见近红外光谱特征波长提取方法研究

河套蜜瓜是我国西北河套地区独具特色的果品,一直深受消费者的喜爱。糖度(sugar content)是衡量蜜瓜品质和成熟度重要指标。采用Maya 2000pro便携式光谱仪和PR-101ɑ便携式数字折光仪获取“金红宝”蜜瓜光谱信息及糖度值,研究了不同特征波长提取方法：逐步多元线性回归(SMLR)、间隔偏最小二乘法(iPLS)、反向区间偏最小二乘法(biPLS)以及联合区间偏最小二乘法(siPLS))对蜜瓜样品模型精度和预测结果的影响。结果表明：采用biPLS特征波长提取方法将全波段光谱均匀分成20个子区间,PLS因子数为14,当剔除其中8个子区间,选择的波长变量数为218时,得到的biPLS模型最佳,对应的校正集和预测集的RMSE分别为0.996 1和1.18。采用biPLS光谱波长筛选方法可以有效地提取蜜瓜糖度的特征波长,提高建模预测能力,实现蜜瓜糖度的快速检测。     

Application of the two-mode squeezed coherent state representation in deriving generalized optical Collins formula

We propose a new two-mode squeezed coherent state representation |z₁, z₂〉_g which is characteristic of the correlation between the squeezing and the displacement. Based on it and using the technique of integration within an ordered product of operators we obtain a generalized two-mode Fresnel operator (GTFO), which is an image of the mapping from (z₁, z₂) to in |z₁, z₂〉_g representation. The matrix element of GTFO in the coordinate representation leads to a generalized two-dimensional Collins formula (Huygens-Fresnel integration transformation describing optical diffraction) in entangled form.     

Generalized beam propagation factor of hard-edged circular apertured diffracted Bessel–Gaussian beams

Based on the truncated second-order moments method on the cylindrical coordinate systems and the incomplete gamma function, an analytical expression of the generalized beam propagation factor (M_G² factor) of hard-edged circular apertured diffracted Bessel–Gaussian beams is derived and illustrated numerically. It is shown that the M_G² factor of hard-edged diffracted BGBs mainly depends on the truncation parameter δ and the beam parameters m and η. The results can be reduced to that for the non-truncated Bessel–Gaussian beams case and that for the truncated fundamental Gaussian beams case under certain conditions, respectively. The power fraction is also discussed analytically and numerically.     

Temperature effect on deposition rate of silicon nitride films

Temperature effects on deposition rate of silicon nitride films were characterized by building a neural network prediction model. The silicon nitride films were deposited by using a plasma enhanced chemical vapor deposition system and process parameter effects were systematically characterized by 2⁶⁻¹ fractional factorial experiment. The process parameters involved include a radio frequency power, pressure, temperature, SiH₄, N₂, and NH₃ flow rates. The prediction performance of generalized regression neural network was drastically improved by optimizing multi-valued training factors using a genetic algorithm. Several 3D plots were generated to investigate parameter effects at various temperatures. Predicted variations were experimentally validated. The temperature effect on the deposition rate was a complex function of parameters but N₂ flow rate. Larger decreases in the deposition rate with the temperature were only noticed at lower SiH₄ (or higher NH₃) flow rates. Typical effects of SiH₄ or NH₃ flow rate were only observed at higher or lower temperatures. A comparison with the refractive index model facilitated a selective choice of either SiH₄ or NH₃ for process optimization.     

氯代5-氟脲嘧啶卟啉的红外光谱特性的研究

本文对新合成的对位及间位两类氯代苯基 5 氟脲嘧啶卟啉的红外光谱吸收峰进行了归属和总结 ,讨论了其红外吸收频率随取代基位置变化的规律。指出了苯环上的取代基为电负性强的基团时 ,由于场效应的存在 ,使被测化合物的羰基伸缩振动吸收峰的相对强度发生改变。同时 ,表明了嘧啶环上N原子发生了取代 ,形成单、双取代 5 氟脲嘧啶卟啉化合物的红外光谱特性。     

激光脉冲能量对激光烧蚀保护气体电离的影响

用Ar气作保护气体 ,气压保持在一个标准大气压 ,用Nd :YAG脉冲激光烧蚀Al靶获得等离子体。利用时空分辨技术 ,采集了激光脉冲能量在 5 2 ,92 ,115和 14 5mJ情况下等离子体辐射的时空分辨谱。详细描述了 115mJ时等离子体的辐射特征 ,简要分析了其他脉冲能量下Ar的特征辐射规律。根据这些脉冲能量下Ar 特征谱线的分布规律 ,简要论述了Ar气体电离与激光脉冲能量的关系。讨论了环境气体电离机制 ,并对结果进行了简单解释。结果发现 ,在本实验采用的能量范围内 ,较高的脉冲能量更容易使环境气体电离 ,产生较强的Ar 离子辐射 ,且Ar 辐射持续时间较长。     

斯特林制冷机磨损和污染的特性分析

针对分置式斯特林制冷机存在的磨损和污染主要失效模式,论述了磨损特性的激振法测阻尼比试验方法和工质污染的分析方法和结果。磨损和污染的试验分析方法可用于斯特林制冷机研制时的失效模式控制。     

基于小波包变换和数学形态学结合的光谱去噪方法研究

对反射光谱数据进行去噪是提高光谱信息准确度的前提。传统时域平滑和频域去噪方法存在诸多缺点,本文首次将广义形态滤波方法用于可见近红外光谱的去噪处理,并提出基于小波包变换和数学形态学结合的光谱去噪方法。使用USGS光谱库中的植被光谱进行实验,采用信噪比(SNR)、均方误差根(RMSE)、波形相似度(NCC)和平滑度(SR)四个指标来评估去噪效果。结果表明,小波包最佳基阈值法和广义形态滤波法都能较好地保持波形和平滑度,广义形态滤波法能较好地消除幅值较大的随机噪声,但其对连续随机噪声中幅值较小的噪声成分不能有效消除; 而小波包最佳基阈值法不能有效消除幅值较大的噪声成分; 二者结合的方法组合了这两者的优点,使得幅值较大、较小的噪声成分都能较好地消除,同时还提高了相似度和平滑度指标,充分表明小波包最佳基阈值与广义形态滤波结合的方法是一种更好的可见光近红外光谱去噪方法。     

Generalized statistics variational perturbation approximation using q-deformed calculus

A principled framework to generalize variational perturbation approximations (VPAs) formulated within the ambit of the nonadditive statistics of Tsallis statistics, is introduced. This is accomplished by operating on the terms constituting the perturbation expansion of the generalized free energy (GFE) with a variational procedure formulated using q-deformed calculus. A candidate q-deformed generalized VPA (GVPA) is derived with the aid of the Hellmann-Feynman theorem. The generalized Bogoliubov inequality for the approximate GFE are derived for the case of canonical probability densities that maximize the Tsallis entropy. Numerical examples demonstrating the application of the q-deformed GVPA are presented. The qualitative distinctions between the q-deformed GVPA model vis-á-vis prior GVPA models are highlighted.