Numerical study of vortex reconnection for two anti-parallel vortex tubes

By direct numerical simulation of the Navier-Stokes equations we investigate the reconnection of two antiparallel vortex tubes. A new type of perturbation of the initial vorticity field is given which is different from that presented in Refs. [8] and [9]. The formation and the evolution of the “curved vortex belts”, their mutual action with the “bridges” are found. These are important phenomena not studied by others. The project supported by the LNM of Institute of Mechanics, Academia Sinica and The National Natural Science Foundation of China     

硅烷化活性炭的吸附性质

本工作测定了25℃和35℃时硅烷化活性炭自水溶液中吸附苯甲酸和苯甲醛的等温线;计算了吸附过程的ΔGⅲ,ΔHⅲ和ΔSⅲ;用Hill-deBoer方程处理了实验结果。所得结果表明:(1)随硅烷化时间延长,苯甲酸和苯甲醛的吸附量(mol.m^-^2)明显增加;-ΔGⅲ和-ΔHⅲ略有升高,ΔSⅲ为正值;(2)吸附分子之间的相互作用很弱,吸附分子与活性炭表面间的作用随硅烷化程度增加而加大;(3)芳香化合物可能是以苯环吸附在炭表面上的。     

An operator splitting method with FDM and FEM for the convection- diffusion equation using boundary-fitted coordinate system

An operator splitting method combining finite difference method and finite element method is proposed in this paper by using boundary-fitted coordinate system. The governing equation is split into advection and diffusion equations and solved by finite difference method using boundary-fitted coordinate system and finite element method respectively. An example for which analytic solution is available is used to verified the proposed methods and the agreement is very good. Numerical results show that it is very efficient.     

D×D上的Toeplitz型与Hankel型算子

本文给出了空间Ｌ￣ａ，２（Ｄ×Ｄ，）的一个完全正交分解，定义了一系列Ｔｏｅｐｌｉｔｚ型与Ｈａｎｋｅｌ型算子，并且证明了它们的有界性，紧性及其Ｓｃｈａｔｔｅｎ－ｖｏｎＮｅｕｍａｎｎ性质．     

Construction of representation-finite selfinjective artin algebras of classB n andC n

In this paper, we discuss the representation-finite selfinjective artin algebras of classB _n andC _n and obtain the following main results: For any fieldk, let Λ be a representation-finite selfinjective artin algebras of classB _n orC _n overk.

An analytic solution on hypersonic flow over an arbitrary slender body with near power-law profile

On the basis of a self-similar solution as well as of the assumption of the Transverse Motion a general linear theory on hypersonic flow over a general slender body is set up in this paper. By means of this theory, the problem concerned can be put into a universal system of O.D.Eqs. which can be integrated numerically in advance.     

A CLASS OF RANDOM NUMBER GENERATORS BASED ON WEYL SEQUENCE

The generation of good pseudo-random numbers is the base of many important fields in scientific computing, such as randomized algorithms and numerical solution of stochastic differential equations. In this paper, a class of random number generators （RNGs） based on Weyl sequence is proposed. The uniformity of those RNGs is proved theoretically. Statistical and numerical computations show the efficiency of the methods.     

Salen Mn(Ⅲ)催化的双键不对称环氧化研究进展

SalenMn(Ⅲ)络合物是催化双键不对称环氧化的一类很重要的催化剂。本文综述了salenMn(Ⅲ)络合物的设计、其催化双键不对称环氧化的反应和机理以及轴向配体、电子效应等对反应的影响等方面的研究进展，并总结了这一催化体系在顺式烯烃、环内烯烃、三取代烯烃的不对称环氧化反应和反式环氧化物的生成中的应用及其优点。     

导电高聚物修饰纳米尺度TiO~2多孔膜电极的光电化学研究

用光电化学方法研究了用导电高聚物修饰的纳米晶TiO~2多孔膜电极在不含氧化还原对和含不同氧化还原对体系电解质溶液中的光电转换过程。TiO~2/导电高聚物多孔膜电极为双层n型半导体结构，内层TiO~2多孔膜的禁带宽度为3.26eV，外层聚吡咯(PPy)膜的禁带宽度为2.23eV，而聚苯胺(PAn)膜的禁带宽度为2.88eV。用导电高聚物修饰半导体电极能使其在可见光区的光吸收增加，光电流增强，且起始波长红移至>600nm，使宽禁带半导体电极的光电转换效率得到明显改善。