Approximating Clarke’s subgradients of semismooth functions by divided differences

We show that the algorithm presented in an earlier paper by Studniarski (Numer. Math., 55:685–693, 1989) can be applied, after only a small modification, to approximate numerically Clarke’s subgradients of semismooth functions of two variables. Results of computational testing of this modified algorithm are also reported.      

圆外区域求解Helmholtz方程

1引言许多科学和工程计算问题都可以归结为无界区域上的偏微分方程边值问题．而求解椭圆方程边值问题的常用技术是有限元方法,可是对于无界区域,在用有限元方法求解时,往往遇到困难．最简单的办法显然是直接略去区域的无界部分求解,但这样做或者导致过低的计算精度,或者要付出很高的计算代价．边界归化,即将求解偏微分方程边值问题转化为边界积分方程,是求解某些无界区域问题的强有力的手段．自70年代以来,有限元和     

Extension of a combined analytical/numerical initial value problem solver for unsteady periodic flow

Here we describe analytical and numerical modifications that extend the Differential Reduced Ejector/ mixer Analysis (DREA), a combined analytical/numerical, multiple species ejector/mixing code developed for preliminary design applications, to apply to periodic unsteady flow. An unsteady periodic flow modelling capability opens a range of pertinent simulation problems including pulse detonation engines (PDE), internal combustion engine ICE applications, mixing enhancement and more fundamental fluid dynamic unsteadiness, e.g. fan instability/vortex shedding problems. Although mapping between steady and periodic forms for a scalar equation is a classical problem in applied mathematics, we will show that extension to systems of equations and, moreover, problems with complex initial conditions are more challenging. Additionally, the inherent large gradient initial condition singularities that are characteristic of mixing flows and that have greatly influenced the DREA code formulation, place considerable limitations on the use of numerical solution methods. Fortunately, using the combined analytical–numerical form of the DREA formulation, a successful formulation is developed and described. Comparison of this method with experimental measurements for jet flows with excitation shows reasonable agreement with the simulation. Other flow fields are presented to demonstrate the capabilities of the model. As such, we demonstrate that unsteady periodic effects can be included within the simple, efficient, coarse grid DREA implementation that has been the original intent of the DREA development effort, namely, to provide a viable tool where more complex and expensive models are inappropriate. Copyright © 2002 John Wiley & Sons, Ltd.     

空间弧面凸轮数控加工程序的计算机辅助编制

介绍了空间弧面凸轮数控加工的方法和数控加工程序的计算机辅助编程方法 ,并给出了辅助编程后模拟显示结果     

A numerical study of an unsteady laminar flow in a doubly constricted 3D vessel

Unsteady flow dynamics in doubly constricted 3D vessels have been investigated under pulsatile flow conditions for a full cycle of period T. The coupled non‐linear partial differential equations governing the mass and momentum of a viscous incompressible fluid has been numerically analyzed by a time accurate Finite Volume Scheme in an implicit Euler time marching setting. Roe's flux difference splitting of non‐linear terms and the pseudo‐compressibility technique employed in the current numerical scheme makes it robust both in space and time. Computational experiments are carried out to assess the influence of Reynolds' number and the spacing between two mild constrictions on the pressure drop across the constrictions. The study reveals that the pressure drop across a series of mild constrictions can get physiologically critical and is also found to be sensitive both to the spacing between the constrictions and the oscillatory nature of the inflow profile. The flow separation zone on the downstream constriction is seen to detach from the diverging wall of the constriction leading to vortex shedding with 3D features earlier than that on the wall in the spacing between the two constrictions. Copyright © 2002 John Wiley & Sons, Ltd.     

2003版建筑给排水规范学习与设计体会

就新规范中住宅给水管管径、引入管阀门设置、水箱进水管和溢水管设置、水箱水位控制、通气管系统设计及地漏的设置等方面谈了作者学习《建筑给水排水设计规范》(GB50015-2003)的体会。     

基于 FEM 的深基础工程数值模拟及其实现

简要介绍了有限元法的原理和解题步骤,在借鉴国内外众多有限元分析软件包优点的基础上,开发了自身的FEM三维非线性程序,并用所研发的程序对具体的工程进行了应用和模拟,与实测数据的逼近表明了整个软件系统的准确性和实用性。     

结构动力分析一种简易的直接积分法

本文利用方块脉冲函数优良的运算性质,提出一种结构动力分析简易的直接积分法——方块脉冲函数法,具有无条件稳定的积分格式,并表明方法的可行和有效.     

板型燃料组件内部流场数值分析

为板型燃料组件的设计和实验研究提供参考 ,采用商用流体力学计算程序 CFX5对板型燃料组件内部流场进行了数值模拟 ,以获得各流速下的板间流场。数值计算结果表明 :板型燃料组件不同流道和单一流道内的流速分布基本均匀 ,在 2 0个流道中居中的 3～ 5流道内的流量比其它流道小一些 ,其中中间流道内的流量最小 ,其流量与平均流量的误差小于 10 % ;提梁对其后部速度场的影响较大 ,对其后部压力场的影响很小。当板间水隙的最大加工误差为0 .15 mm时 ,该流道内的流量与流道内平均流量的误差接近10 %。组件进出口差压计算值与实验值比较接近 ,证明了计算结果的可靠性     

Mafia和Hfss对等梯度加速结构耦合器的数值模拟与比较

提出的数值模拟过程是关于直线加速器加速结构耦合器的设计的。Mafia程序和Hfss程序分别被用来模拟一截S—Band的三腔等梯度加速结构,其两端分别为输入耦合器和输出耦合器。通过Mafia程序和Hfss程序模拟了该结构的传输特性,发现两者的模拟结果能很好吻合。