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A combination of implicit and adaptative upwind tools for the numerical solution of incompressible free surface flows 不可压缩自由表面流动数值解的隐式和自适应迎风工具组合
Communications in Numerical Methods in Engineering
Pub Date : 2006-08-14 DOI: 10.1002/CNM.900
V. G. Ferreira, C. Oishi, F. A. Kurokawa, M. K. Kaibara, J. Cuminato, A. Castelo, N. Mangiavacchi, M. F. Tomé, S. McKee
This paper is concerned with the numerical solutions of time dependent two-dimensional incompressible flows. By using the primitive variables of velocity and pressure, the Navier-Stokes and mass conservation equations are solved by a semi-implicit finite difference projection method. A new bounded higher order upwind convection scheme is employed to deal with the non-linear (advective) terms. The procedure is an adaptation of the GENSMAC (J. Comput. Phys. 1994; 110:171-186) methodology for calculating confined and free surface fluid flows at both low and high Reynolds numbers. The calculations were performed by using the 2D version of the Freeflow simulation system (J. Comp. Visual. Science 2000; 2:199-210). In order to demonstrate the capabilities of the numerical method, various test cases are presented. These are the fully developed flow in a channel, the flow over a backward facing step, the die-swell problem, the broken dam flow, and an impinging jet onto a flat plate. The numerical results compare favourably with the experimental data and the analytical solutions.
本文研究了随时间变化的二维不可压缩流的数值解。利用速度和压力这两个原始变量，用半隐式有限差分投影法求解了Navier-Stokes方程和质量守恒方程。采用一种新的有界高阶迎风对流格式来处理非线性(平流)项。该程序是对GENSMAC (J. Comput。学报。1994;(110:171-186)在低和高雷诺数下计算受限和自由表面流体流动的方法。使用二维版的自由流动模拟系统(J. Comp. Visual)进行计算。科学2000;2:199 - 210)。为了证明数值方法的能力，给出了各种测试用例。它们是沟道中完全发育的水流、经过向后台阶的水流、模胀问题、溃坝水流和撞击平板的射流。数值计算结果与实验数据及解析解吻合较好。
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引用次数: 17
Efficient placement of rigid supports using finite element models, Communications in Numerical Methods in Engineering 2006; 22:205–213 基于有限元模型的刚性支撑有效定位，工程数值方法通讯，2006;22:205 - 213
Communications in Numerical Methods in Engineering
Pub Date : 2006-08-14 DOI: 10.1002/CNM.896
M. Friswell
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引用次数: 1
Partitioned formulation of frictional contact problems using localized Lagrange multipliers 用局部拉格朗日乘子的摩擦接触问题的分区公式
Communications in Numerical Methods in Engineering
Pub Date : 2005-10-06 DOI: 10.1002/CNM.821
J. A. González, K. Park, C. Felippa
Interface treatment methods for the contact problem between non-matching meshes have traditionally been based on a direct coupling of the contacting solids employing a master–slave strategy or classical Lagrange multipliers. These methods tend to generate strongly coupled systems that is dependent on the discretization characteristics on each side of the contact zone. In this work a displacement frame is intercalated between the interface meshes. The frame is then discretized so that the discrete frame nodes are connected to the contacting substructures using the localized Lagrange multipliers collocated at the interface nodes. The resulting methodology alleviates the need for master–slave book-keeping and provides a partitioned formulation which preserves software modularity, facilitates non-matching mesh treatment and passes the contact patch test. Frictional contact problems are used to demonstrate the salient features of the proposed method. Copyright © 2005 John Wiley & Sons, Ltd.
非匹配网格之间接触问题的界面处理方法传统上是基于使用主从策略或经典拉格朗日乘子的接触固体的直接耦合。这些方法倾向于产生依赖于接触区两侧离散化特性的强耦合系统。在此工作中，在界面网格之间插入位移框架。然后将框架离散化，使离散的框架节点使用配置在接口节点上的局部拉格朗日乘法器连接到接触子结构。由此产生的方法减轻了对主从记账的需要，并提供了一个分区的公式，该公式保留了软件模块化，便于非匹配网格处理，并通过了接触贴片测试。使用摩擦接触问题来演示所提出方法的显著特征。版权所有©2005 John Wiley & Sons, Ltd
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引用次数: 15
Static reanalysis of structures with added degrees of freedom 增加自由度结构的静力再分析
Communications in Numerical Methods in Engineering
Pub Date : 2005-09-21 DOI: 10.1002/CNM.812
Baisheng Wu, Zhengguang Li
This paper deals with static reanalysis of a structure with added degrees of freedom where the nodes of the original structure form a subset of the nodes of the modified structure. A preconditioned conjugate-gradient approach is developed. The preconditioner is constructed, and the implementation of the approach involves only decomposition of the stiffness matrix corresponding to the newly added degrees of freedom. In particular, the approach can adaptively monitor the accuracy of approximate solutions. The approach is applicable to the reanalysis of the structural layout modifications for the case of addition of some nodes, deletion and addition of elements and further changes in the geometry as well as to the local mesh refinements. Numerical examples show that the condition number of the selected preconditioned matrix is largely reduced. Therefore, the fast convergence and accurate results can be achieved by the approach. Copyright © 2005 John Wiley & Sons, Ltd.
本文研究了增加自由度结构的静力再分析问题，其中原结构的节点是修改后结构节点的子集。提出了一种预条件共轭梯度法。构造了预条件，该方法的实现只涉及分解新增加的自由度对应的刚度矩阵。特别地，该方法可以自适应地监测近似解的精度。该方法适用于增加部分节点、删除和增加元素以及进一步改变几何形状的情况下结构布局修改的再分析，也适用于局部网格细化。数值算例表明，所选的预条件矩阵的条件个数大大减少。因此，该方法收敛速度快，结果准确。版权所有©2005 John Wiley & Sons, Ltd
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引用次数: 40
An algorithm for incorporation of frictional sliding conditions within a steady state rolling framework 一种将摩擦滑动条件纳入稳态滚动框架的算法
Communications in Numerical Methods in Engineering
Pub Date : 2005-09-21 DOI: 10.1002/CNM.815
T. Laursen, I. Stanciulescu
A formulation for hyperelastic steady state rolling calculations is presented, focusing on the inclusion of frictional sliding conditions between a rolling tyre and a flat roadway. Algorithmically, it is seen that traditional return mapping algorithmic strategies for treatment of the friction are often ineffective for this problem even when well-posed frictional solutions exist; accordingly, an algorithmic approach utilizing a global stick predictor is proposed to recover solutions to the sliding contact problem. Numerical examples for adherent and sliding contact cases are presented, to demonstrate the effectiveness of the approach advocated. Copyright © 2005 John Wiley & Sons, Ltd.
提出了一种超弹性稳态滚动计算公式，重点考虑了滚动轮胎与平坦路面之间的摩擦滑动条件。从算法上看，即使存在适定的摩擦解，处理摩擦的传统返回映射算法策略也往往无效;因此，提出了一种利用全局棒预测器的算法方法来恢复滑动接触问题的解。给出了粘着接触和滑动接触的数值算例，验证了该方法的有效性。版权所有©2005 John Wiley & Sons, Ltd
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引用次数: 24
Hamiltonian-based error computations 基于哈密顿误差计算
Communications in Numerical Methods in Engineering
Pub Date : 2005-09-21 DOI: 10.1002/CNM.814
Y. Kuo, K. Behdinan, W. Cleghorn
This paper presents two sets of the Hamiltonian for checking errors of approximated solutions. The first set can be applied to those problems having any number of independent and dependent variables. This set of the Hamiltonian can effectively indicate the errors of approximated solutions when requiring a high accuracy. The second set of the Hamiltonian has the invariant property when the Lagrangian is not an explicit function of time, even for non-conservative systems. Both sets can be formulated as error indicators to check errors of approximated solutions. Three illustrative examples demonstrate the error analyses of finite element solutions. Copyright © 2005 John Wiley & Sons, Ltd.
本文给出了两组用于检验近似解误差的哈密顿量。第一组可以应用于具有任意数量的自变量和因变量的问题。这组哈密顿量可以有效地指示精度要求较高的近似解的误差。当拉格朗日函数不是时间的显式函数时，即使对于非保守系统，第二组哈密顿函数也具有不变的性质。这两组都可以表示为误差指标来检查近似解的误差。三个实例说明了有限元解的误差分析。版权所有©2005 John Wiley & Sons, Ltd
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引用次数: 1
Hydromagnetic flow and heat transfer of a conducting Casson fluid in a rectangular channel 矩形通道中导电卡森流体的磁流与传热
Communications in Numerical Methods in Engineering
Pub Date : 2005-09-01 DOI: 10.1002/CNM.807
H. A. Attia, M. Sayed-Ahmed
The transient hydromagnetic flow of an electrically conducting viscous incompressible non-Newtonian Casson fluid bounded by two parallel non-conducting plates is studied with heat transfer considering the Hall effect. An external uniform magnetic field is applied perpendicular to the plates and the fluid motion is subjected to a pressure gradient in the axial direction. The lower plate is stationary and the upper plate is suddenly set into motion and simultaneously suddenly isothermally heated to a temperature other than the lower plate temperature. Numerical solutions are obtained for the governing momentum and energy equations taking the Joule and viscous dissipations into consideration. The effect of the Hall term and the parameter describing the non-Newtonian behaviour on both the velocity and temperature distributions are studied. Copyright © 2005 John Wiley & Sons, Ltd.
在考虑霍尔效应的传热条件下，研究了导电粘性不可压缩非牛顿卡森流体的瞬态磁流。垂直于平板施加一个外部均匀磁场，流体运动受到轴向压力梯度的影响。下板静止，上板突然运动，同时突然等温加热到下板温度以外的温度。在考虑焦耳耗散和粘性耗散的情况下，得到了控制动量方程和能量方程的数值解。研究了霍尔项和描述非牛顿行为的参数对速度和温度分布的影响。版权所有©2005 John Wiley & Sons, Ltd
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引用次数: 4
Obituary for John Argyris 约翰·阿吉里斯的讣告
Communications in Numerical Methods in Engineering
Pub Date : 2004-09-01 DOI: 10.1002/CNM.709
I. Doltsinis
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引用次数: 1
Study on the degeneration of quadrilateral element to triangular element 四边形元向三角形元退化的研究
Communications in Numerical Methods in Engineering
Pub Date : 2004-09-01 DOI: 10.1002/CNM.704
L. Li, X.-P. Han, S.-q. Xu
In this paper, the problems involved in the process of degeneration of quadrilateral element into triangular element are thoroughly analysed. The contents include the formulation of the geometry mapping induced by collapsing one side of the quadrilateral element and the construction of the shape functions. The study focuses first on a 4-node bilinear quadrilateral (Q4) element to 3-node constant strain triangular (CST) element, and then on a 8-node serendipity (Q8) element to 6-node triangular element (T6). In the analysis, the quadrilateral element and degenerate triangular element are assumed to be enclosed by straight edges. The theoretical results show that there is another better approach to realize the degeneration, and that even for conventional approach of degeneration we can give more reasonable explanation to the unclear problems like the CST property in degenerate CST element and the necessity of the additional terms in degenerate T6 element. Copyright © 2004 John Wiley & Sons, Ltd.
本文对四边形单元退化为三角形单元过程中所涉及的问题进行了深入的分析。其内容包括四边形单元单侧塌缩引起的几何映射的公式和形状函数的构造。首先研究了4节点双线性四边形(Q4)单元到3节点恒应变三角形(CST)单元，然后研究了8节点偶然性(Q8)单元到6节点三角形单元(T6)。在分析中，假定四边形单元和退化三角形单元被直边包围。理论结果表明，存在另一种更好的退化方法，即使采用传统的退化方法，也能更合理地解释退化CST单元的CST性质和退化T6单元中附加项的必要性等不明确的问题。版权所有©2004 John Wiley & Sons, Ltd
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引用次数: 5
Strip element method for shape discrimination of strip rolling 带钢轧制形状判别的带钢单元法
Communications in Numerical Methods in Engineering
Pub Date : 2004-09-01 DOI: 10.1002/CNM.701
Hongmin Liu, P. Yan, Chu Yu‐Peng, Wang Ying-rui
A new method—the strip element method for discriminating the shape or the stability of the rolled strip subjected to the residual stress is proposed. The rolled strip is divided into a number of strip elements, and the deflection function model is constructed with the third-power spline function and the sine function. Based on the minimum potential energy principle, the shape discrimination is transformed into the solution of eigenvalue. The computed examples verify the reliability and the practicality of this method. Copyright © 2004 John Wiley & Sons, Ltd.
提出了一种判别轧制带材在残余应力作用下形状或稳定性的新方法——带材单元法。将轧制带材划分为多个带材单元，利用三次样条函数和正弦函数建立挠度函数模型。基于最小势能原理，将形状判别转化为特征值的解。算例验证了该方法的可靠性和实用性。版权所有©2004 John Wiley & Sons, Ltd
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