Space–time integrated least squares: a time‐marching approach

A time‐marching formulation is derived from the space–time integrated least squares (STILS) method for solving a pure hyperbolic convection equation and is numerically compared to various known methods. Copyright © 2004 John Wiley & Sons, Ltd.     

非线性对流扩散问题的交替方向差分流线扩散法

1引言Peaceman,Douglas等人于1955年提出了差分格式的交替方向法。随后,Douglas,Dupont于1972年又提出了有限元格式的交替方向法[1]。其基本思想是:对两个或三个空间变量的二阶抛物型和双曲型问题,将交替方向法与Galerkin方法相结合,通过算子分裂技术,把高维问题转化为一系列低维问题,交替地沿各空间变量的方向求解。[2]、[3]和[4]给出了对更一般扩散问题(带对流项的抛物方程)的数值求解和误差分析。     

叶片扩压器进口安装角对离心压缩机性能影响的数值与实验研究

对不同扩压器进口安装角下离心压缩机的性能进行了实验研究,并详细计算分析了相应的流场分布。分析表明, 不同的进口安装角对压缩机的流动有较大的影响,压缩机的性能曲线也有不同程度的左右偏移;进口处较大的正冲角和负冲角均会在扩压器叶片表面出现大尺度的分离涡团;在给定的流量工况下,应存在一个最佳的进口安装角,使得扩压器效率最高;设计工况下,最高效率所对应的冲角并非为零。     

复杂边界条件下渗流场流线分布研究

流线分布研究已受到油藏工程师们的普遍关注。本文从无限大油藏稳态渗流场基本解出发,结合边界元方法求解出复杂边界条件下稳态渗流场的势分布,以此为基础提出了流线场的生成办法,并给出了应用实例。本文方法的优点在于求解过程中将问题的维数降低了一维,减少了计算量;计算精度较高且具有一定的普遍应用性;适应于求解任意形状的包括定压、定流量或混合边界在内的组合边界问题。实例表明,利用本文方法产生的流线分布因能够较为直观地反映出油藏流体在注采井间的运动轨迹,为优化井网和注入方案提供了重要依据。     

A numerical study of the target system of an ADSS with different flow guides

The mechanical design of the target module of an accelerator driven subcritical nuclear reactor system (ADSS) calls for an analysis of the related thermal-hydraulic issues because of large amount of heat deposition in the spallation region during the course of nuclear interactions with the molten lead bismuth eutectic (LBE) target. The LBE also should carry the entire heat generated as a consequence of the spallation reaction. The problem of heat removal by the LBE is a challenging thermal-hydraulic issue. For this, one has to examine the flows of low Prandtl number fluids (LBE) in a complex ADSS geometry. In this study, the equations governing the laminar flow and thermal energy are solved numerically using the streamline upwind Petrov-Galerkin (SUPG) finite element (FE) method. The target systems with a straight and a nozzle guide have been considered. The principal purpose of the analysis is to trace the flow and temperature distribution and thereby to check the suitability of the flow guide in avoiding the recirculation or stagnation zones in the flow space that may lead to hot spots.      

类升力体外形高超声速粘性绕流拓扑结构分析

采用交替方向隐式分解的隐式NND格式求解全N-S方程模拟“类升力体”外形在高超声速下的大攻角流动,给出了“类升力体”外形表面极限流线随攻角变化的拓扑结构及40°攻角下垂直于体轴的横截面流线拓扑结构。结果表明:类升力体外形三维流场结构十分复杂,攻角从0°～40°变化时,背风面表面极限流线依次由不分离、开式分离向起始于鞍、结点组合的高阶奇点的分离方式转化,翼面横向分离亦随攻角增大而增大;垂直于体轴的横截面流动拓扑结构与文献[2]给出的理论分析一致。     

微型风力发电演示仪

设计制作了一种基于风光互补原理的微型风力发电演示仪.该仪器由风力发电机、光伏太阳能电池板、控制器、蓄电池、负载等各部分组成.整个系统以控制器为核心,由风力发电机、光伏太阳能电池板把风能和光能转变为电能并储存于蓄电池中供负载使用.该仪器作为演示实验仪不仅小型、直观、模块化和操作简便,而且演示内容突显物理与工程相结合的知识...     

The topology of the sectional streamlines

The unsteady, three-dimensional full Navier-Stokes equations are solved using a Beam-Warming implicit algorithm in this paper. Computations of the flow over a 76° sweep delta wing at 36.5° angle of attack is presented. The sectional streamlines are depicted and the evolution of the instantaneous crossflow topology of the leading-edge vortex is analyzed. It is found that, along the axis, the topology of the primary vortex alters several times starting from stable focus near the apex to unstable focus, and lasts back to stable focus near wake edge; The stable limit cycle and unstable limit cycle are shown in this evolution. These various altering topologies stem from the stretching and compression of the vortex core.     

On streamline diffusion arising in Galerkin FEM with predictor/multi‐corrector time integration

In the present paper, the author shows that the predictor/multi‐corrector (PMC) time integration for the advection–diffusion equations induces numerical diffusivity acting only in the streamline direction, even though the equations are spatially discretized by the conventional Galerkin finite element method (GFEM). The transient 2‐D and 3‐D advection problems are solved with the PMC scheme using both the GFEM and the streamline upwind/Petrov Galerkin (SUPG) as the spatial discretization methods for comparison. The solutions of the SUPG‐PMC turned out to be overly diffusive due to the additional PMC streamline diffusion, while the solutions of the GFEM‐PMC were comparatively accurate without significant damping and phase error. A similar tendency was seen also in the quasi‐steady solutions to the incompressible viscous flow problems: 2‐D driven cavity flow and natural convection in a square cavity. Copyright © 2002 John Wiley & Sons, Ltd.     

三维热传导型半导体器件瞬态模拟问题的Crank-Nicolson差分-流线扩散有限元法及其数值分析

本文研究三维热传导型半导体器件瞬态模拟问题的数值方法.针对数学模型中各方程不同的特点,分别提出不同的有限元格式.特别针对浓度方程组是对流为主扩散问题的特点,使用Crank-Nicolson差分-流线扩散计算格式,提高了数值解的稳定性.得到的L2误差估计关于空间剖分步长是拟最优的,关于时间步长具有二阶精度.