A Multistep Finite Volume Method with Penalty for Thermal Convection Problems in Two or Three Dimensions

The author considers a thermal convection problem with infinite Prandtl number in two or three dimensions. The mathematical model of such problem is described as an initial boundary value problem made up of three partial differential equations. One equation of the convection-dominated diffusion type for the temperature, and another two of the Stokes type for the normalized velocity and pressure. The approximate solution is obtained by a penalty finite volume method for the Stokes equation and a multistep upwind finite volume method for the convection-diffusion equation. Under suitable smoothness of the exact solution, error estimates in some discrete norms are derived.     

体绘制中的快速插值方法

插值运算是体绘制中的基本运算,其操作量很大。为此,本文提出一种的新的插值方法,减少每次插值运算的计算量,并根据样点位置及其附近的资料情况减少插值运算的次数。由此可以加快体绘制的成象,而对图像质量没有影响。与已有的快速插值方法相比,新方法更有效。     

虚切片方法改善Shear-Warp算法的图像失真

分析了Shear-Warp算法在实际绘制过程中出现的图像失真问题,提出了一种虚切片方法,通过在Shear-Warp算法基础上添加虚切片解决图像失真问题。实践表明,采用虚切片方法的Shear-Warp算法有效的解决了Shear-Warp算法的图像失真问题。     

广义切线体积模量研究

对三轴应力状态下的土体切线体积模量进行了研究.考虑了常规三轴试验和各向同性压缩试验对切线体积模量的影响.在胡克定律的基础上,将体积功分为塑性体积功和弹性体积功,并由此确定了常规三轴试验和各向同性压缩试验对切线体积模量的影响系数.采用由两种试验得到的切线体积模量的值和影响系数,就可以得到广义切线体积模量.验算的结果表明广义切线体积模量的表达式更具代表性.     

ETFE双层气枕计算分析及比较

基于U.L.格式的非线性有限单元法,编制了ETFE双层气枕找形分析、受荷分析的计算程序,并选取圆形、正六边形、正三角形、菱形及正方形5种工程中常用的气枕作为计算模型进行对比分析.在找形分析时,将矢高、内压和初始张力作为控制参数进行计算并依次给出了三者之间的相互关系.在受荷分析时,考虑6种给定的荷载工况,计算了ETFE气枕体积、内压的变动以及膜面的主应力.数值计算结果表明,形状与圆形相差较大的双层气枕其力学性能变化明显.在气枕的体积和内压变化不大时,可直接根据气枕上层膜面的主应力判定气枕的工作状态.     

电流变液的固态结构

电流变体系在外场作用下形成一定的固态结构,而其性能与所形成的结构密切相关.不考虑体系非静电力时,体系自由能为静电能的负值,而静电能与有效介电常数成正比.基于Maxwell-Wagner模型,推导出有效介电常数关于颗粒体积比的一系列正幂项解析表达式,计算球颗粒悬浮于介质或导电液体中构成的3种立方结构的有效介电常数.计算结果表明:电流变体系中球颗粒为介质球或是导体球构成3种立方结构中FCC结构具有最低的自由能.电流变液在由液相向固相转变的过程中,形成的固态结构为FCC结构.     

农历置闰月方法的解析

指出农历的历法要素与公历的历法要素的不同点.从数学角度对农历“19年7闰”的置闰方法进行详细的推演,即首先将农历平年与回归年的差值同朔望月时长的比值通过辗转相除表为连分数,逐次截取连分式,得一渐近分数序列.在渐近分数序列中选取适当的分数作为所求比值的近似值,由此就得到了农历的置闰方法.探讨农历复合置闰的可能性.指出由于传统农历的一些特殊约定,使得采用复合置闰变得价值不大     

实数的连分数展开及程序设计

运用数学软件实现了实数的连分数展开.首先介绍连分数的结构,并设计相应的程序,用以实现任一实数的连分数展开;然后分析连分数与渐进分数的关系,给出无理数e的渐进分数形式,并对渐进分数所蕴含的规律进行演示.     

Impact of bolus volume on small intestinal intra-luminal impedance in healthy subjects

AIM: To assess the impact of bolus volume on the characteristics of small intestinal (SI) impedance signals.METHODS: Concurrent SI manometry-impedance measurements were performed on 12 healthy volunteers to assess the pattern of proximal jejunal fluid bolus movement over a 14 cm-segment.Each subject was given 34 boluses of normal saline (volume from 1 to 30 mL) via the feeding tube placed immediately above the proximal margin of the studied segment.A bolus-induced impedance event occurred if there was > 12%...     

A Scalable Data-Distributed Algorithm for Volume Rendering on Parallel Virtual Machines

IntroductionVolume rendering is an essential method forexploring the inner structure of complex3- D data.One of the classic volume- rendering approaches isthe so- called ray- casting algorithm. In thisalgorithm,each image pixel is rendered accordingto a ray which is emitted from the pixel and isoriented towards the observation direction. Thecomputations along each ray consist of two typicalphases:resampling of the3- D data followed by thecolor composition. Unfortunately,both phases aretime c…