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Communications in Numerical Methods in Engineering最新文献

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Parallel Delaunay triangulation for particle finite element methods 粒子有限元方法的平行Delaunay三角剖分
Communications in Numerical Methods in Engineering Pub Date : 2007-06-11 DOI: 10.1002/CNM.1007
Y. Fragakis, E. Oñate
{"title":"Parallel Delaunay triangulation for particle finite element methods","authors":"Y. Fragakis, E. Oñate","doi":"10.1002/CNM.1007","DOIUrl":"https://doi.org/10.1002/CNM.1007","url":null,"abstract":"Delaunay triangulation is a geometric problem that is relatively difficult to parallelize. Parallel algorithms are usually characterized by considerable interprocessor communication or important serialized parts. In this paper, we propose a method that achieves high speed-ups, but needs information regarding locally maximum element circumspheres prior to the beginning of the algorithm. Such information is directly available in iterative methods, like the particle finite element methods. The developed parallel Delaunay triangulation method, has minimum communication requirements, is quite simple and achieves high parallel efficiency. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"1009-1017"},"PeriodicalIF":0.0,"publicationDate":"2007-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1007","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51531342","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
On volumetric locking‐free behaviour of p‐version finite elements under finite deformations 有限变形下p型有限元的无体积锁紧特性
Communications in Numerical Methods in Engineering Pub Date : 2007-06-05 DOI: 10.1002/CNM.1008
U. Heisserer, S. Hartmann, A. Düster, Z. Yosibash
{"title":"On volumetric locking‐free behaviour of p‐version finite elements under finite deformations","authors":"U. Heisserer, S. Hartmann, A. Düster, Z. Yosibash","doi":"10.1002/CNM.1008","DOIUrl":"https://doi.org/10.1002/CNM.1008","url":null,"abstract":"We demonstrate the locking-free properties of the displacement formulation of p-finite elements when applied to nearly incompressible Neo-Hookean material under finite deformations. For an axisymmetric model problem we provide semi-analytical solutions for a nearly incompressible Neo-Hookean material exploited to investigate the robustness of p-FEM with respect to volumetric locking. An analytical solution for the incompressible case is also derived to demonstrate the convergence of the compressible numerical solution towards the incompressible case when the compression modulus is increased.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"1 1","pages":"1019-1032"},"PeriodicalIF":0.0,"publicationDate":"2007-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1008","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51530879","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
Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming 半定规划的三维莫尔库仑极限分析
Communications in Numerical Methods in Engineering Pub Date : 2007-06-05 DOI: 10.1002/CNM.1018
K. Krabbenhøft, A. Lyamin, S. Sloan
{"title":"Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming","authors":"K. Krabbenhøft, A. Lyamin, S. Sloan","doi":"10.1002/CNM.1018","DOIUrl":"https://doi.org/10.1002/CNM.1018","url":null,"abstract":"Recently, Krabbenhoft et al. (Int. J. Solids Struct. 2007; 44:1533–1549) have presented a formulation of the three-dimensional Mohr–Coulomb criterion in terms of positive-definite cones. The capabilities of this formulation when applied to large-scale three-dimensional problems of limit analysis are investigated. Following a brief discussion on a number of theoretical and algorithmic issues, three common, but traditionally difficult, geomechanics problems are solved and the performance of a common primal–dual interior-point algorithm (SeDuMi (Appl. Numer. Math. 1999; 29:301–315)) is documented in detail. Although generally encouraging, the results also reveal several difficulties which support the idea of constructing a conic programming algorithm specifically dedicated to plasticity problems. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"1107-1119"},"PeriodicalIF":0.0,"publicationDate":"2007-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1018","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51531581","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: 127
Ibero-Latin American Conference on Computational Methods in Engineering CILAMCE 2005 伊比利亚-拉丁美洲工程计算方法会议
Communications in Numerical Methods in Engineering Pub Date : 2007-06-01 DOI: 10.1002/CNM.994
A. Valli, A. Coutinho
{"title":"Ibero-Latin American Conference on Computational Methods in Engineering CILAMCE 2005","authors":"A. Valli, A. Coutinho","doi":"10.1002/CNM.994","DOIUrl":"https://doi.org/10.1002/CNM.994","url":null,"abstract":"","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"23 1","pages":"417-417"},"PeriodicalIF":0.0,"publicationDate":"2007-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.994","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51604380","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: 0
A stabilized finite element model for the hydrothermodynamical simulation of the Rio de Janeiro coastal ocean 里约热内卢海岸海洋水热力学模拟的稳定有限元模型
Communications in Numerical Methods in Engineering Pub Date : 2007-06-01 DOI: 10.1002/CNM.935
C. Carbonel, A. Galeão
{"title":"A stabilized finite element model for the hydrothermodynamical simulation of the Rio de Janeiro coastal ocean","authors":"C. Carbonel, A. Galeão","doi":"10.1002/CNM.935","DOIUrl":"https://doi.org/10.1002/CNM.935","url":null,"abstract":"In this paper, a stabilized space-time Petrov-Galerkin finite element model of coastal ocean circulation is derived. Continuous linear interpolation in space and time is employed and a spatial unstructured mesh of triangular elements is used. To simulate the hydro-thermodynamical ocean behaviour a gravity reduced model is proposed. This model solves the motion and continuity hydrodynamic equations coupled with the advection-diffusion transport equation for temperature which governs the heat exchanges in the upper layer. The model is used to evaluate the main dynamical features of the coastal waters of the Rio de Janeiro State, namely: cold plumes, coastal jets and the influence of the warmer water bays. Numerical experiments are performed to highlight the typical observed events of coastal upwelling phenomena and their interaction with the existing coastal bays and the offshore conditions. Such experiments deal with a series of idealized northeast wind field forcing patterns, showing the solutions dependence on the horizontal structure of the wind fields in relation to the coastline configuration.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"23 1","pages":"521-534"},"PeriodicalIF":0.0,"publicationDate":"2007-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.935","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51601158","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: 7
Multiresolution analysis for finite element method using interpolating wavelet and lifting scheme 基于插值小波和提升方案的有限元多分辨率分析
Communications in Numerical Methods in Engineering Pub Date : 2007-05-24 DOI: 10.1002/CNM.1011
Yumin He, Xuefeng Chen, J. Xiang, Zhengjia He
{"title":"Multiresolution analysis for finite element method using interpolating wavelet and lifting scheme","authors":"Yumin He, Xuefeng Chen, J. Xiang, Zhengjia He","doi":"10.1002/CNM.1011","DOIUrl":"https://doi.org/10.1002/CNM.1011","url":null,"abstract":"Based on interpolating wavelet transform and lifting scheme, a multiresolution analysis for finite element method is developed. By designing appropriate finite element interpolation functions using interpolating wavelet and lifted interpolating wavelet on the interval, the finite element equation may be scale decoupled via eliminating all coupling in the stiffness matrix of element across scales, and then resolved in different spaces independently. The coarse solution can be obtained by solving the equation in the coarse approximation space, and refined by adding details, which can be obtained by solving the equations in the corresponding detail spaces, respectively. The method is well suited to the construction of adaptive algorithm and is powerful in analysing the field problems with changes in gradients and singularities. The numerical examples are given to verify the effectiveness of such a method. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"1045-1066"},"PeriodicalIF":0.0,"publicationDate":"2007-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1011","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51530941","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: 7
Modelling unsaturated flow by using Mathematica 利用Mathematica模拟非饱和流动
Communications in Numerical Methods in Engineering Pub Date : 2007-05-15 DOI: 10.1002/CNM.1005
M. Mikhailov
{"title":"Modelling unsaturated flow by using Mathematica","authors":"M. Mikhailov","doi":"10.1002/CNM.1005","DOIUrl":"https://doi.org/10.1002/CNM.1005","url":null,"abstract":"The built-in Mathematica function NDSolve is extended to solve nonlinear boundary-value problems and a second-order partial differential equation subjected to inconsistent boundary and initial conditions. This communication demonstrates the ability of the extended NDSolve to find steady-state and transient solutions of unsaturated flow described by the one-dimensional Richards equation. Only first kind boundary conditions are considered, but the extended NDSolve is applicable for first, second, and third kind boundary conditions. To verify the steady-state numerical results, an original analytical solution is derived. The results given by numerical and analytical steady-state solutions coincide. The residuum of transient solution is plotted to show that the numerical results satisfy the transient problem except in a singular point, where the boundary and initial conditions are inconsistent. The transient pressure head and soil moisture content are plotted for typical soil properties, starting from different initial steady-state distribution up to the time needed to reach the final steady-state distribution. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"947-959"},"PeriodicalIF":0.0,"publicationDate":"2007-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51531289","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
A Chebyshev expansion method for solving the time‐dependent partial differential equations 求解时变偏微分方程的切比雪夫展开法
Communications in Numerical Methods in Engineering Pub Date : 2007-05-15 DOI: 10.1002/CNM.1010
E. Elbarbary
{"title":"A Chebyshev expansion method for solving the time‐dependent partial differential equations","authors":"E. Elbarbary","doi":"10.1002/CNM.1010","DOIUrl":"https://doi.org/10.1002/CNM.1010","url":null,"abstract":"A Chebyshev expansion method for the parabolic and Burgers equations is developed. The spatial derivatives are approximated by the Chebyshev polynomials and the time derivative is treated by a finite-difference scheme. The accuracy of the resultant is modified by using suitable extrapolation scheme in the time direction. The Chebyshev expansion method is based on using an explicit formula for the Chebyshev polynomials in terms of arbitrary order of their derivatives. In addition, this formula is used in equating the order of derivatives appearing in the differential equation to the order of differential equation. The successive integration is used to obtain an algebraic system in the expansion coefficients. Finally, numerical examples are studied to demonstrate the viability of this method. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"1033-1044"},"PeriodicalIF":0.0,"publicationDate":"2007-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1010","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51530917","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: 0
Numerical study of hemodynamics comparison between small and large femoral bypass grafts 小股与大股旁路血流动力学比较的数值研究
Communications in Numerical Methods in Engineering Pub Date : 2007-05-15 DOI: 10.1002/CNM.1012
A. Qiao, Youjun Liu
{"title":"Numerical study of hemodynamics comparison between small and large femoral bypass grafts","authors":"A. Qiao, Youjun Liu","doi":"10.1002/CNM.1012","DOIUrl":"https://doi.org/10.1002/CNM.1012","url":null,"abstract":"The geometry factors have prominent impacts on the flow patterns of bypass graft. In order to clarify the influence of graft diameter on the hemodynamics of femoral bypass graft, the pulsatile blood flows in three bypassing models with different graft diameters were simulated with finite-element method. The temporal–spatial distributions of flow patterns, pressure drops, and wall shear stresses were depicted and compared. The results indicated that femoral artery bypassed with a large graft demonstrates relatively better and more profitable hemodynamic phenomena with large longitudinal velocity, uniform wall shear stress, and small wall shear stress gradient. The large model may be effective in decreasing the probability of the initiation and development of postoperative intimal hyperplasia and restenosis. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"1067-1078"},"PeriodicalIF":0.0,"publicationDate":"2007-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51530982","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
Finite-element model for creep buckling analysis of beam-type structures 梁型结构蠕变屈曲分析的有限元模型
Communications in Numerical Methods in Engineering Pub Date : 2007-05-02 DOI: 10.1002/CNM.1004
D. Lanc, G. Turkalj, J. Brnić
{"title":"Finite-element model for creep buckling analysis of beam-type structures","authors":"D. Lanc, G. Turkalj, J. Brnić","doi":"10.1002/CNM.1004","DOIUrl":"https://doi.org/10.1002/CNM.1004","url":null,"abstract":"This paper presents a one-dimensional finite element for creep buckling analysis of structures comprised of straight and prismatic beam members. Spatial displacements and rotations are allowed to be large while strains are assumed to be small. Material is assumed to be homogenous and isotropic. The corresponding equilibrium equations are formulated in the framework of co-rotational description, using the virtual work principle. In contrast to conventional co-rotational formulation, which is linear on element level and unable to model Wagner effect, in this paper an additional nonlinear part of stiffness matrix is evaluated and added to standard elastic stiffness. Implementation of developed numerical algorithm is demonstrated through few test problems.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"989-1008"},"PeriodicalIF":0.0,"publicationDate":"2007-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.1004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51531261","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: 6
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