非连续边界元积分的精确表达式及相关问题

以二维位势问题边界元分析为例,给出了利用线性非连续边界元离散边界积分方程时系数矩阵积分计算的精确表达式,通过和利用Gauss积分方法计算系数矩阵所得数值结果的比较表明：配位点选择不同对数值计算结果精度影响的主要原因是积分计算的精度,尤其当配位因子选择较大时,存在的准奇异积分（Nearly Singular Integrals)很难利用常规Gauss积分方法准确求得。     

一种新型飞行器管理计算机的设计和实现

围绕新一代先进航空飞行器,对高度综合化飞行器管理计算机的需求,国内外争相开展新型容错计算机的相关技术研究。ARINC 659背板总线因其强实时性、高带宽、抗干扰和容错能力强而著称,现已成为航空电子设备标准背板总线,也已成为模块化、综合化架构航电系统的关键技术。因此,基于ARINC 659总线容错计算机的研制已逐渐成为高可靠航空电子系统研究的热点和重点。提出了基于ARINC 659总线的新型容错计算机构架设计方案、余度管理以及故障实时诊断与隔离等关键技术。     

Noether＇s and Poisson＇s methods for solving differential equation xs^（m） = Fs（t,xk^（m-2） , xk（m-1）

This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation.     

大尺寸单晶金刚石磨抛一体化加工研究

金刚石因其优异的物理性质被视为下一代半导体材料,然而其极高的硬度、脆性和耐腐蚀性导致其加工困难,尤其是对于大尺寸的化学气相沉积(chemical vapor deposition, CVD)单晶金刚石(SCD)晶片而言,目前还缺乏一种高效、低成本的磨抛加工方法。本文提出一种基于工件自旋转的同心双砂轮磨抛一体化加工技术,在一次装夹中,先采用金刚石磨料的陶瓷内圈砂轮磨削单晶金刚石晶片表面,将单晶金刚石表面迅速平坦化,后采用金刚石与CuO混合磨料的外圈溶胶-凝胶(sol-gel,SG)抛光轮抛光单晶金刚石晶片表面,使其在较短时间内完成从原始生长面(Sa约46 nm)到原子级表面精度(Sa＜0.3 nm)的加工。磨削加工中,硬质金刚石磨料的陶瓷砂轮高速划擦金刚石晶片表面,在强机械作用下获得较大的材料去除以及纳米级的光滑单晶金刚石表面,同时引起进一步的表面非晶化;SG抛光加工中,硬质金刚石磨料高速划擦单晶金刚石表面形成高温高压环境,进一步诱导CuO粉末与单晶金刚石表面的非晶碳发生氧化还原反应,实现反应抛光。磨抛一体化的加工技术为晶圆级的单晶、多晶金刚石的工业化生产提供借鉴。     

基于科教融合开展制药分离工程案例教学的研究*

制药分离工程是一门实践性较强的课程,传统授课模式侧重于理论知识的讲解,缺乏对学生解决实际问题的能力和设计能力的培养。以“金雀花花蕾中异鼠李素-3-O-β-D-芸香糖的提取”工程案例和实施过程为例,介绍如何通过案例教学和现代信息技术强化学生实践能力的培养,并对案例教学应用于制药分离工程教学进行了探讨。     

Compound wall treatment with low‐Re turbulence model

A generalized treatment for the wall boundary conditions relating to turbulent flows is developed that blends the integration to a solid wall with wall functions. The blending function ensures a smooth transition between the viscous and turbulent regions. An improved low Reynolds number k?ε model is coupled with the proposed compound wall treatment to determine the turbulence field. The eddy viscosity formulation maintains the positivity of normal Reynolds stresses and Schwarz' inequality for turbulent shear stresses. The model coefficients/functions preserve the anisotropic characteristics of turbulence. Computations with fine and coarse meshes of a few flow cases yield appreciably good agreement with the direct numerical simulation and experimental data. The method is recommended for computing the complex flows where computational grids cannot satisfy a priori the prerequisites of viscous/turbulence regions. Copyright © 2011 John Wiley & Sons, Ltd.     

Construction of the two-electron contribution to the Fock matrix by numerical integration

A novel method to numerically calculate the Fock matrix is presented. The Coulomb operator is re-expressed as an integral identity, which is discretized. The discretization of the auxiliary t dimension separates the x, y, and z dependencies transforming the two-electron Coulomb integrals of Gaussian-type orbitals (GTO) to a linear sum of products of two-dimensional integrals. The s-type integrals are calculated analytically and integrals of the higher angular-momentum functions are obtained using recursion formulae. The contributions to the two-body Coulomb integrals obtained for each discrete t value can be evaluated independently. The two-body Fock matrix elements can be integrated numerically, using common sets of quadrature points and weights. The aim is to calculate Fock matrices of enough accuracy for electronic structure calculations. Preliminary calculations indicate that it is possible to achieve an overall accuracy of at least 10^?12 E _h using the numerical approach.     

光子晶体传输特性的时域精细积分法分析

将精细积分法应用于时域有限差分法中,提出了一种求解光子晶体传输特性的时域精细积分法,并对其计算精度及稳定性进行了分析.从一阶麦克斯韦方程出发,在空间上采用Yee元胞进行差分离散,结合吸收边界条件及激励源表达式将方程整理为标准的一阶常微分方程组形式.通过时间步长的精细划分和指数矩阵的加法定理,在时间上利用精细积分法对齐次微分方程进行积分求解,并结合激励向量的特解得到空间离散的场分量,最终通过傅里叶变换求得方程的解.利用时域精细积分法对光子晶体进行了实例计算,并将其结果分别与时域有限差分法和四阶龙格库塔法在精度、稳定性等方面进行了比较,结果表明时域精细积分法具有更高的计算精度,并且克服了时域有限差分法以及四阶龙格库塔法在计算稳定性上对时间步长的限制.提出的方法具有精确、稳定的特点,为光子晶体传输特性的研究提供了一种新的有效的分析方法.     

An enriched finite element algorithm for the implicit simulation of the Stefan problem

An implicit enriched finite element algorithm is proposed to simulate heat transfer involving isothermal phase changes. This technique is based on a mixed variational formulation discretized by means of an enriched finite element approximation of the enthalpy in space. The interface is implicitly described without coupling with an interface-capturing technique. The time integration is carried out with an implicit (backward) Euler algorithm in time. Two examples in 1D and 2D clearly evidence the efficiency of the method developed.