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Communications in Applied Numerical Methods最新文献

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A multigrid method for an invariant formulation of the incompressible Navier-Stokes equations in general coordinates 一般坐标系下不可压缩Navier-Stokes方程不变公式的多重网格法
Communications in Applied Numerical Methods Pub Date : 1991-11-01 DOI: 10.1002/CNM.1630081003
C. Oosterlee, P. Wesseling
{"title":"A multigrid method for an invariant formulation of the incompressible Navier-Stokes equations in general coordinates","authors":"C. Oosterlee, P. Wesseling","doi":"10.1002/CNM.1630081003","DOIUrl":"https://doi.org/10.1002/CNM.1630081003","url":null,"abstract":"The stationary incompressible Navier—Stokes equations are discretized with a finite volume method in curvilinear co-ordinates. The arbitrarily shaped domain is mapped onto a rectangular block, resulting in a boundary-fitted grid. In order to obtain accurate discretizations of the transformed equations, some requirements on geometric quantities should be met. The choice of velocity components is also of importance. Contravariant flux unknowns and pressure p are used as primary unknowns on a staggered grid arrangement. \u0000 \u0000 \u0000 \u0000The system of discretized equations is solved with a non-linear multigrid algorithm, into which a smoother, called Symmetric Coupled Gauss—Seidel, is implemented. Cell by cell, all unknowns in the grid cell are updated by solving four momentum equations and a continuity equation simultaneously. The solution algorithm shows satisfying average reduction factors for several domains.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124961495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 27
Elimination of the boundary layer effect in BEM computation of stresses 边界元法计算应力中边界层效应的消除
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070705
V. Sládek, J. Sládek
{"title":"Elimination of the boundary layer effect in BEM computation of stresses","authors":"V. Sládek, J. Sládek","doi":"10.1002/CNM.1630070705","DOIUrl":"https://doi.org/10.1002/CNM.1630070705","url":null,"abstract":"The paper presents a new numerical method of the computation of stresses and displacements at internal points using boundary elements. The accuracy of the computation is reasonable even if the internal point is very close to the boundary. The numerical algorithm is developed for both the two- and three-dimensional problems. The accuracy of the numerical computations based on the proposed method is illustrated in a test problem of 2-D elastostatics.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114631130","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
A refined quadrilateral element for the finite‐element analysis of plates 一种用于板有限元分析的精细化四边形单元
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070704
M. Lachemi, A. Lahoud
{"title":"A refined quadrilateral element for the finite‐element analysis of plates","authors":"M. Lachemi, A. Lahoud","doi":"10.1002/CNM.1630070704","DOIUrl":"https://doi.org/10.1002/CNM.1630070704","url":null,"abstract":"The finite-element formulation of a conforming plate-bending element having the shape of a general quadrilateral is presented. The element has four nodes with six degrees of freedom per node. The accuracy and efficiency of the element is tested by considering several examples of plates in bending and comparing the results with those obtained using other elements or other methods of analysis.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125620499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Axisymmetric potential flow calculations. Part 2: Design mode 轴对称势流计算。第二部分:设计模式
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070707
S. Zhang, R. Barron, N. Rudraiah
{"title":"Axisymmetric potential flow calculations. Part 2: Design mode","authors":"S. Zhang, R. Barron, N. Rudraiah","doi":"10.1002/CNM.1630070707","DOIUrl":"https://doi.org/10.1002/CNM.1630070707","url":null,"abstract":"The pure inverse problem of designing a body with a prescribed surface pressure in incompressible axisymmetric potential \u0000\u0000flow is solved using the streamfunction as a co-ordinate in the computational plane. The problem is formulated mathematically as a \u0000\u0000mixed boundary value problem and the solution is obtained using the finite-difference technique. The body shape is computed \u0000\u0000simultaneously with the entire flow field and does not have to be iteratively adjusted to meet the target surface pressure. Results are \u0000\u0000presented for elliptical, NACA 0012 and minimum-drag cross-sections.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134297898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A note on finite‐element implementation of pressure boundary loading 压力边界加载的有限元实现注记
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070703
J. Simo, R. Taylor, P. Wriggers
{"title":"A note on finite‐element implementation of pressure boundary loading","authors":"J. Simo, R. Taylor, P. Wriggers","doi":"10.1002/CNM.1630070703","DOIUrl":"https://doi.org/10.1002/CNM.1630070703","url":null,"abstract":"","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"246 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124283474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 52
A cross‐reduced integration technique for a bilinear shell element without zero‐energy modes 无零能模双线性壳元的交叉约简积分技术
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070708
Z. Zhong
{"title":"A cross‐reduced integration technique for a bilinear shell element without zero‐energy modes","authors":"Z. Zhong","doi":"10.1002/CNM.1630070708","DOIUrl":"https://doi.org/10.1002/CNM.1630070708","url":null,"abstract":"A reduced integration technique employed in a bilinear shell element is described. While the reduced integration technique solves the problem of ‘locking’ and improves the computational efficiency, it does not introduce any zero-energy mode in the shell element. The shell element is based on the concept of laminas and fibres. The reduced integration is such that integration points are chosen both along the central fibre and on the reference lamina. Shear strains on the reference lamina are averaged to solve the locking problem and eliminate possible zero-energy modes.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129444320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
THE EXTENSION BOUNDARY-ELEMENT METHOD FOR 2-D POTENTIAL PROBLEMS 二维势问题的扩展边界元法
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070706
Y. Yihua, Shi Hu-li
{"title":"THE EXTENSION BOUNDARY-ELEMENT METHOD FOR 2-D POTENTIAL PROBLEMS","authors":"Y. Yihua, Shi Hu-li","doi":"10.1002/CNM.1630070706","DOIUrl":"https://doi.org/10.1002/CNM.1630070706","url":null,"abstract":"In the paper, a new BE formulation is introduced so that we can adopt nearby adjacent nodes to improve the trial functions on each boundary element. The extension element approximation is derived and implemented, and the accuracy of the solution is, therefore, raised without increasing the total number of nodes (or the dimension of the system). The proposed method preserves all the advantages of conventional BEM. Furthermore, it may improve the higher-order variations. Numerical examples demonstrate the validity and prospect of the extension-BEM (EBEM).","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121897651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A compact unconditionally stable finite‐difference method for transient one‐dimensional advection‐diffusion 瞬态一维平流扩散的紧致无条件稳定有限差分方法
Communications in Applied Numerical Methods Pub Date : 1991-10-01 DOI: 10.1002/CNM.1630070702
B. J. Noye
{"title":"A compact unconditionally stable finite‐difference method for transient one‐dimensional advection‐diffusion","authors":"B. J. Noye","doi":"10.1002/CNM.1630070702","DOIUrl":"https://doi.org/10.1002/CNM.1630070702","url":null,"abstract":"A new compact second-order finite-difference method for solving the time-dependent one-dimensional constant-coefficient advection—diffusion equation is developed. It involves a spread of only two grid points in space and two levels in time. It may be evaluated in an explicit marching manner and requires the availability of only upstream boundary values. It is unconditionally stable and has the property of giving ‘non-negative’ values for a large range of Courant and diffusion numbers. For all grid Reynolds numbers greater than 2 it is shown to be more accurate than commonly used second-order methods, all of which involve a spread of three grid points in space.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130610838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Computation of the eigenfrequencies of acoustic cavities: A new penalty method 声腔特征频率的计算:一种新的惩罚方法
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060406
A. Cifuentes, R. Coppolino
{"title":"Computation of the eigenfrequencies of acoustic cavities: A new penalty method","authors":"A. Cifuentes, R. Coppolino","doi":"10.1002/CNM.1630060406","DOIUrl":"https://doi.org/10.1002/CNM.1630060406","url":null,"abstract":"A new penalty method for determining the natural frequencies and normal modes of acoustic cavities is presented. The acoustic medium is described in terms of the displacement field. A new easy-toimplement penalty function method is employed to enforce the irrotationality condition. This new method has significant advantages when compared to classical penalty function methods since it is more stable with respect to the penalty parameter.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126377726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the box scheme for overland flow calculations 关于坡面流计算的箱形方案
Communications in Applied Numerical Methods Pub Date : 1990-05-01 DOI: 10.1002/CNM.1630060410
W. L. Wood, P. Arnold
{"title":"On the box scheme for overland flow calculations","authors":"W. L. Wood, P. Arnold","doi":"10.1002/CNM.1630060410","DOIUrl":"https://doi.org/10.1002/CNM.1630060410","url":null,"abstract":"This paper describes an example of a numerical solution of an overland flow problem where a box scheme which is unconditionally stable nevertheless has to have a limit on the time step.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129819807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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