A stability classification method and its application to pipelined solution of linear recurrences

A new method of classification for numerical stability of parallel algorithms is proposed based on the theoretical foundation of forward error analysis. It partitions the algorithms according to their asymptotic stability—a measure introduced to relate the limiting behavior of the stability to the size of the problem. Using this method, the stability aspect of the pipelined solution technique for first-order and second-order linear recurrences—the core of a tridiagonal linear equation solver—is studied. In particular, it shows that the pipelined solution method of the first-order linear recurrences has the same degree of stability as the commonly used sequential evaluation algorithms. The stability problems of sequential and pipelined solution methods of the second-order linear recurrences are also studied.     

关于无限棒束间流动和传热特性的数值研究

应用非线性ｋε湍流模式，采用非正交曲线坐标系下求解三维ＮＳ方程的非交错网格有限体积方法，数值模拟了充分发展条件下，三角形排列无限棒束间通道内，不同的几何参数（Ｐ／Ｄ），雷诺数（Ｒｅ）下的流动和传热问题。给出了不同参数下的速度和温度分布以及湍流二次流动，分析了几何参数、雷诺数及二次流对棒束内流动和传热特性的影响，得到了不同参数下通道的摩擦系数和Ｎｕｓｅｌｔ数，并与经验关系式作了比较     

Isometric Piecewise Polynomial Curves

The main preoccupations of research in computer-aided geometric design have been on shape-specification techniques for polynomial curves and surfaces, and on the continuity between segments or patches. When modelling with such techniques, curves and surfaces can be compressed or expanded arbitrarily. There has been relatively little work on interacting with direct spatial properties of curves and surfaces, such as their arc length or surface area. As a first step, we derive families of parametric piecewise polynomial curves that satisfy various positional and tangential constraints together with arc-length constraints. We call these curves isometric curves. A space curve is defined as a sequence of polynomial curve segments, each of which is defined by the familiar Hermite or Bézier constraints for cubic polynomials; as well, each segment is constrained to have a specified arc length. We demonstrate that this class of curves is attractive and stable. We also describe the numerical techniques used that are sufficient for achieving real time interaction with these curves on low-end workstations.     

Vertical bridgman techniques to homogenize zinc composition of CdZnTe substrates

In order to improve the Zn homogeneity along the axial direction of CdZnTe boule, we have employed a modified Bridgman technique using a (Cd, Zn) alloy source in communication with the melt, whose temperature has been gradually changed from 800 to 840°C during growth. Electron probe microanalysis (EPMA) measurements of Zn composition in the boule shows an excellent homogeneity of Zn along the axis of the CdZnTe boule compared with results in a boule grown by using a fixed source temperature. We have performed a numerical simulation to obtain the approximate temperatures of additional heating and cooling needed to improve the radial Zn homogeneity. CdZnTe boule has been grown by seeded vertical Bridgman furnace with two zones of heater and cooler. Ultraviolet/visible spectroscopic measurements of Zn composition over the length of the boule indicate that the radial distribution of Zn composition is very homogeneous in the body region of the boule, where the radial variation of Zn composition is ±0.0005.     

高压条件下伴随化学反应两相流动的数值模拟

建立了高装填密度火药床在高压条件下的一维两相流体力学方程组，探讨了两相自由射流边界的处理方法，并对其进行了数值求解．揭示了对流燃烧过程的燃烧机理．数值结果与实验测得的压力曲线和火焰阵面曲线有较好的一致性     

立铣加工过程中的微元铣削力建模分析

针对单纯通过高速切削技术制造某些大型飞机零件过程中,存在难以控制的加工变形和较强表面残余拉应力分布等突出问题,以直齿和螺旋齿立铣加工过程为研究对象,基于微元切削机理,通过对刀齿铣削过程的分析,建立动态铣削加工仿真模型,导出铣削面积、铣削力、主轴扭矩、铣削功率与切削用量的关系.数值模拟结果与试验值较吻合,表明该模型可以实现动态铣削力预测,优化切削用量.     

JSTAMP/NV在汽车管材液压成形数值模拟中的应用

为有效预测管材液压成形过程中存在的制品在外侧过度减薄和内侧起皱等问题,用JSTAMP/NV对汽车副车架成形的弯曲、预成形和管材液压成形工序分别进行有限元分析,得出各工序的成形极限云图和壁厚分布.应用逆向求解器HYSTAMP仅需直接指定管坯的尺寸参数、材料和弯曲工艺参数即可自动执行弯曲仿真并可在几秒内获取弯曲仿真的结果.设定液压成形工序的液压加载曲线和方向以及轴向进给位移,应用LS-DYNA执行预成形和液压成形工序仿真.JSTAMP/NV能有效模拟管材液压成形工艺过程,并预测和消除成形过程中在变形区出现的屈曲、起皱和破裂等缺陷.     

基于Eclipse实现油藏数值模拟自动控制的方法

在应用研究Eclipse软件的基础上,提出利用Eclipse软件提供的关键字实现油藏数值模拟生产作业的自动控制的两种新方法。实例研究表明,利用关键字ACTIONX实现自动控制的方法更为简便实用。     

水电站坝下尾水渠集鱼流场模拟研究

为减缓大坝阻隔对鱼类洄游的不利影响,水电工程需要建设有效的过鱼设施疏通其洄游通道。高寒区高坝大库工程过鱼设施建设是一个极其复杂的技术问题,目前国内类似工程尚无成功运用经验。实际过鱼设施内流场条件十分复杂,会产生不利于鱼类上溯的水流形态。基于此原因,对某水电站工程坝下尾水流场进行了数值模拟。研究表明,在机组运行时,电站尾水渠左右两侧发电尾水主流的边缘是明显具有流速梯度分布的区域,符合鱼类聚集的水流特征,具备布置鱼道进口条件。这样可根据尾水位的变化开启两侧不同进口诱鱼,且在机组停运时,可开启左侧进口诱鱼。