Local Times and Related Properties of Multidimensional Iterated Brownian Motion

Let {W(t), tR} and {B(t), t0} be two independent Brownian motions in R with W(0) = B(0) = 0 and let

有限厚度流体层界面运动Rayleigh-Taylor不稳定性的数值模拟

采用二阶ＴＶＤ格式及ＬｅｖｅｌＳｅｔ方法计算了二维可压缩有限厚度流体层Ｒａｙｌｅｉｇｈ Ｔａｙｌｏｒ流体不稳定性。计算结果与Ｔａｙｌｏｒ的线性解和Ｏｔ的薄层非线性解析解符合很好。     

用改进的耦合型Level Set方法计算一维双介质可压缩流动

用带有虚拟流体(Ghost Fluid)修正的Level Set方法计算了一维可压缩双介质流动,把描述流动的Euler方程和描述流体界面运动的Level Set方程耦合起来,得到一个整体的守恒律系统,应用高分辨率差分格式求解;为了解决流体界面附近的数值跳动问题,在界面附近引入了虚拟流体方法的Isobaric修正,并给出了算例.     

超BCK-代数的模糊超子代数

模糊超子代数的概念被引入并且一些相关性质被研究,模糊超BCK理想和模糊超子代数的关系被介绍,模糊超子代数的特征被陈述。     

气液两相流动与固壁相互作用耦合求解的研究

气液两相流动与固壁相互作用的研究是液滴撞击壁面运动研究的重要基础.以结合了VOF和Level Set两种方法优点的用于气液相界面追踪的复合Level Set-VOF方法和利用唯象分析方法建立的能够反映接触角滞后性及壁面性质对润湿过程影响的壁面润湿模型为基础,提出了气液两相流动与固壁相互作用耦合求解流程,给出了气液两相流动与固壁相互作用耦合求解过程中接触线速度的计算方法及边界条件的确定方法.通过与已有实验结果的对比,对提出的气液两相流动与固壁相互作用耦合求解方法的有效性进行了验证.     

多种综合评价方法的综合应用

本文基于过去应用不同的综合评价方法对同一社会经济现象进行评价时 ,其评价结果总存在差异的现象 ,提出一种系统综合评价方法 ,克服了以往仅应用一种方法在评价中的片面性 ,使评价结果更加全面、客观。同时本文应用此方法对陕西省十一个城市的设施水平进行了综合评价     

Direct evidence of a magnetization transfer between laser-polarized xenon and protons of a cage-molecule in water

In a dedicated experimental setup, we directly prepare liquid-state NMR samples containing laser-polarized xenon with nuclear polarization larger than 5% at pressures up to 4 bars. Coating of the NMR tube surface allows us to increase the self-relaxation time of xenon in the gaseous phase to approximately 4.5 hours. Using a modified SPINOE pulse sequence, we present the first direct detection of a regioselective proton signal enhancement of a molecule -cyclodextrin) dissolved in water resulting from cross-polarization between laser-polarized xenon and protons. Received 16 March 2000 and Received in final form 22 May 2000     

Generalized expressions for boundary conditions of shells of revolution

For the boundary conditions of shells of revolution, traditionally, four out of the eight quantities which are the four displacements on the middle surface u, v, w and if together with the four corresponding forces, are given. when the generalized displacements on the nodal circles are used as basic unknowns, the number of unknowns on a nodal circle is more than four^[1][2][3][4]. In this case, how to deal with the boundary conditions is still a problem that has not been solved satisfactorily yet. In this paper,the relations between the generalized and nongeneralized quantities of a shell’s edge are derived according to the principle of virtual work. Seven types of common edges are studied and their expressions of boundary conditions in the form of generalized displacements or forces are qiven. The number of expressions for each type of edge may correspond with the number of unknowns used on a nodal circle. Kith these expressions, boundary conditions can be put directly into equations of motion of generalized displacement method so as to solve the generalized displacements. By so doing, the process of transformation and inverse transformation about unknowns in [2] is avoided. Not only is the argument simple and clear, but the calculation work is reduced.Having the set of generalized expressions of boundary conditions, the generalized displacement method of the shell of revolution may be more perfect in theory.     

二维多介质可压缩流的RKDG有限元方法

应用RKDG(Runge-Kutta Discontinuous Galerkin)有限元方法、Level Set方法和Ghost Fluid方法数值模拟二维多介质可压缩流,其中Euler方程组、Level Set方程和重新初始化方程的空间离散采用DG(Discontinuous Galerkin)有限元方法,时间离散采用Runge-Kutta方法.对二维的气-气和气-液两相流进行了数值计算,得到了分辨率较高的计算结果.     

CH3OH/TiO2(110)界面的光电子能谱研究

Methanol/TiO₂(110) is a model system in the surface science study of photocatalysis where methanol is taken as a hole capture. However, the highest occupied molecular orbital of adsorbed methanol lies below the valence band maximum of TiO₂, preventing the hole transfer. To study the level alignment of this system, electronic structure of methanol covered TiO₂(110) surface has been measured by ultraviolet photoelectron spectroscopy and the molecular orbitals of adsorbed methanol have been clearly identified. The results indicate the weak interaction between methanol and TiO₂ substrate. The static electronic structure also suggests the mismatch of the energy levels. These static experiments have been performed without band gap excitation which is the prerequisite of a photocatalytic process. Future study of the transient electronic structure using time-resolved UPS has also been discussed.