三维湿蒸汽流动快速准确数值模拟方法及应用

本文以解析化wilson点参数和相对饱和湿度算法为基础,发展了三维粘性非平衡态湿蒸汽流动的快速准确数值模拟方法,模拟了一实际运行机组低压缸初始凝结级内的流动,分析了与非平衡态凝结相关的流动现象。该方法可成为汽轮机湿蒸汽级流动的分析和设计的先进和实用的平台。     

Accurate and fast computations with positive extended Schoenmakers–Coffey matrices

Schoenmakers–Coffey matrices are correlation matrices with important financial applications. Several characterizations of positive extended Schoenmakers–Coffey matrices are presented. This paper provides an accurate and fast method to obtain the bidiagonal decomposition of the conversion of these matrices, which in turn can be used to compute with high relative accuracy the eigenvalues and inverses of positive extended Schoenmakers–Coffey matrices. Numerical examples are included.     

Accurate measurement and influence on device reliability of defect density of a light-emitting diode

A method of accurately measuring the defect density of a high-power light-emitting diode （LED） is proposed. The method is based on measuring the number of emitting photons in the magnitude of 105 under the injection current as weak as nA and calculating the non-radiative recombination coefficient which is related to defect density. Defect density is obtained with the self-developed measurement system, and it is demonstrated that defect density has an important influence on LED optical properties like luminous flux and internal quantum efficiency （IQE）. At the same time, a batch of GaN-based LEDs with the chip size of 1 minx 1 mm are selected to conduct the accelerated aging tests lasting for 1000 hours. The results show that defect density exhibits a greater variation and is more sensitive to LED reliability than luminous flux during aging tests. Based on these results, it is concluded that for the GaN-based LED with a chip size of 1 mm ~ I mm, if its defect density is over 1017/cm3, the LED device performance suffers a serious deterioration, and finally fails.     

Study on an improved five-interferogram phase-shifting algorithm

Using traditional five-interferogram algorithm to unwrap phase for length measurement, the phase steps must be equal to π/2 exactly, but it is almost impossible to achieve in nanometer positioning technique.Aiming to overcome this defect of traditional five-interferogram algorithm, an improved five-interferogram algorithm is presented.This improved algorithm not only keeps the high accuracy of traditional five-interferogram algorithm, but also does not need absolute equal step to unwrap phase.Instead, this algorithm only needs measuring phase-shifting.With the numerical simulation, the improved five-interferogram algorithm shows high accuracy, high reliability, and feasibility in practice.It is very valuable for accurate length measurement with Fizeau interferometer and Fabry-Perot interferometer.     

Cage complexes of transition metals in biochemistry and medicine

The review presents the following main trends and the perspectives of application of the transition metal clathrochelates in medicine and biochemistry: encapsulation of radioactive metal ion for diagnostics and therapy; imaging agents for MRI; antidotes and prolonged pharmaceuticals; pharmaceuticals for boron neutron capture therapy; antihelminthic and antiparasitic detergents; antioxidants; membrane transport of the metal ions; interaction of the cage metal complexes with nucleic acids and the potential of their self-assembling reactions in immunology and molecular biology (recognition of antibodies, antigens and DNA sites); design of HIV inhibitors for the therapy. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 4, pp. 555–582, April, 2007.     

High‐order accurate p‐multigrid discontinuous Galerkin solution of the Euler equations

Discontinuous Galerkin (DG) methods have proven to be perfectly suited for the construction of very high‐order accurate numerical schemes on arbitrary unstructured and possibly nonconforming grids for a wide variety of applications, but are rather demanding in terms of computational resources. In order to improve the computational efficiency of this class of methods a p‐multigrid solution strategy has been developed, which is based on a semi‐implicit Runge–Kutta smoother for high‐order polynomial approximations and the implicit Backward Euler smoother for piecewise constant approximations. The effectiveness of the proposed approach is demonstrated by comparison with p‐multigrid schemes employing purely explicit smoothing operators for several 2D inviscid test cases. Copyright © 2008 John Wiley & Sons, Ltd.     

Accurate bidiagonal decomposition of collocation matrices of weighted ϕ‐transformed systems

Given a system of functions, we introduce the concept of weighted φ‐transformed system, which will include a very large class of useful representations in Statistics and Computer Aided Geometric Design. An accurate bidiagonal decomposition of the collocation matrices of these systems is obtained. This decomposition is used to present computational methods with high relative accuracy for solving algebraic problems with collocation matrices of weighted φ‐transformed systems such as the computation of eigenvalues, singular values, and the solution of some linear systems. Numerical examples illustrate the accuracy of the performed computations.     

金和银的晶格反演势的构建及应用

如何确定精确的原子间作用势一直是模拟计算的重要基础问题. 以面心立方金属金和银为对象, 采用第一性原理方法, 分别得到金和银的晶格内聚能-原子距离曲线及基态原子能曲线. 根据陈-莫比乌斯(Chen-Möbius)晶格反演理论和自编程序, 得到了精确的反演对势曲线. 对该曲线进行拟合, 通过比较不同势函数的拟合结果, 提出了双指数型的势函数解析式, 并得到具有全局性且高精度的拟合效果. 为了验证反演势的有效性, 利用反演势结果计算了金和银的声子谱并与Sutton-Chen提出的嵌入原子势和第一性原理计算得到的声子谱做比较. 分析表明, 反演势能够合理反映原子间的相互作用. 最后, 利用得到的结果, 计算了金和银的热膨胀系数和弹性模量等物理量, 计算结果与实验数据基本符合, 表明构建的金和银的反演势是准确有效的.     

浅议物理实验中有效数字的概念

指出现行大学物理实验教材中有效数字的概念存在不足之处,提出在大学物理实验教学中有效数字的新解释:任何测量值都是有效数字,所有的有效数字都包含有准确值和存疑值,有效数字的位数由有效位数来确定。