Communications in Numerical Methods in Engineering最新文献

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DQEM analysis of out-of-plane deflection of non-prismatic curved beam structures considering the effect of shear deformation 考虑剪切变形影响的非棱柱曲线梁结构面外挠度的DQEM分析
Communications in Numerical Methods in Engineering Pub Date : 2006-12-29 DOI: 10.1002/CNM.976
Chang-New Chen
{"title":"DQEM analysis of out-of-plane deflection of non-prismatic curved beam structures considering the effect of shear deformation","authors":"Chang-New Chen","doi":"10.1002/CNM.976","DOIUrl":"https://doi.org/10.1002/CNM.976","url":null,"abstract":"The development of differential quadrature element method (DQEM) out-of-plane deflection analysis model of curved non-prismatic beam structures considering the effect of shear deformation was carried out. The DQEM uses the differential quadrature (DQ) to discretize the governing differential equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. The convergence of the developed DQEM analysis model is efficient. Copyright © 2006 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"7 1","pages":"555-571"},"PeriodicalIF":0.0,"publicationDate":"2006-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.976","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51603529","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
Discontinuous Galerkin finite element approximation of the two-dimensional Navier-Stokes equations in stream-function formulation 二维Navier-Stokes方程的不连续Galerkin有限元逼近
Communications in Numerical Methods in Engineering Pub Date : 2006-12-05 DOI: 10.1002/CNM.944
I. Mozolevski, E. Süli, P. R. Bösing
{"title":"Discontinuous Galerkin finite element approximation of the two-dimensional Navier-Stokes equations in stream-function formulation","authors":"I. Mozolevski, E. Süli, P. R. Bösing","doi":"10.1002/CNM.944","DOIUrl":"https://doi.org/10.1002/CNM.944","url":null,"abstract":"In this paper, we present the construction and computational assessment of an hp-version discontinuous Galerkin finite element method (DGFEM) for the numerical solution of the Navier-Stokes equations governing 2D stationary incompressible flows. Using a stream-function formulation, which ensures that the incompressibility constraint is automatically satisfied, we reduce the system of Navier-Stokes equations to a single fourth-order nonlinear partial differential equation. We introduce a discretization of this fourth-order nonlinear partial differential equation based on a combination of the symmetric DGFEM for the biharmonic part of the equation and a DGFEM with jump-penalty terms for the hyperbolic part of the problem, and then we solve the resulting nonlinear problem using Newton's method. Numerical examples, including the solution of the 2D lid-driven cavity flow problem, are presented to demonstrate the convergence and accuracy of the method.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"23 1","pages":"447-459"},"PeriodicalIF":0.0,"publicationDate":"2006-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.944","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51602129","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: 18
Numerical evaluation of eigenvalues in notch problems using a region searching method 用区域搜索法数值估计缺口问题的特征值
Communications in Numerical Methods in Engineering Pub Date : 2006-12-01 DOI: 10.1002/CNM.875
Y. Chen, X. Y. Lin, Z. X. Wang
{"title":"Numerical evaluation of eigenvalues in notch problems using a region searching method","authors":"Y. Chen, X. Y. Lin, Z. X. Wang","doi":"10.1002/CNM.875","DOIUrl":"https://doi.org/10.1002/CNM.875","url":null,"abstract":"This paper presents a method for finding the eigenvalues of some equations, or the zeros of analytic functions. There are two steps in the method. In the first step, integration along the edges of rectangle for an analytic function is performed. From the result of integration, one can know whether the zero exists in the rectangle or not. If the zero of an analytic function exists in the rectangle, we can perform the second step. In the second step, the zero is obtained by iteration. Therefore, the method is called a region searching method. Particular advantage of the suggested method is that the process for finding zero can be visualized. For example, one can clearly indicate the rectangles, which contain the zeros of an analytic function. Three numerical examples are presented. The obtained results are satisfactory even for a complicated case, for example, for finding eigenvalues of a composed wedge of dissimilar materials. Copyright © 2006 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"22 1","pages":"1119-1127"},"PeriodicalIF":0.0,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.875","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51598816","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
Total FETI—an easier implementable variant of the FETI method for numerical solution of elliptic PDE 椭圆型偏微分方程数值解的一种更容易实现的全偏微分方程方法
Communications in Numerical Methods in Engineering Pub Date : 2006-12-01 DOI: 10.1002/CNM.881
Z. Dostál, D. Hořák, R. Kučera
{"title":"Total FETI—an easier implementable variant of the FETI method for numerical solution of elliptic PDE","authors":"Z. Dostál, D. Hořák, R. Kučera","doi":"10.1002/CNM.881","DOIUrl":"https://doi.org/10.1002/CNM.881","url":null,"abstract":"A new variant of the FETI method for numerical solution of elliptic PDE is presented. The basic idea is to simplify inversion of the stiffness matrices of subdomains by using Lagrange multipliers not only for gluing the subdomains along the auxiliary interfaces, but also for implementation of the Dirichlet boundary conditions. Results of numerical experiments are presented which indicate that the new method may be even more efficient then the original FETI.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"22 1","pages":"1155-1162"},"PeriodicalIF":0.0,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.881","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51599350","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: 174
Kinematic and dynamic analysis of open‐loop mechanical systems using non‐linear recursive formulation 利用非线性递归公式对开环机械系统进行运动学和动力学分析
Communications in Numerical Methods in Engineering Pub Date : 2006-12-01 DOI: 10.1002/CNM.876
Y. Hwang
{"title":"Kinematic and dynamic analysis of open‐loop mechanical systems using non‐linear recursive formulation","authors":"Y. Hwang","doi":"10.1002/CNM.876","DOIUrl":"https://doi.org/10.1002/CNM.876","url":null,"abstract":"In this paper, a non-linear recursive formulation is developed for kinematic and dynamic analysis of open-loop mechanical systems. The non-linear equations of motion are developed for deformable links that undergo large translational and rotational displacements. These equations are formulated in terms of a set of time invariant scalars and matrices that depend on the spatial co-ordinates as well as the assumed displacement field, and these time invariant quantities represent the dynamic coupling between the rigid-body modes and elastic deformations. A new recursive formulation is presented for solving equations of motion for open-loop chains consisting of interconnected rigid and deformable open-loop mechanical systems. This formulation is expressed by the recursive relationships and the generalized non-linear equations for deformable mechanical systems to obtain a large system of loosely coupled equations of motion. The main processor program consists of three main modules: constraint module, mass module and force module. The constraint module is used to numerically evaluate the relationship between the absolute and joint accelerations. The mass module is used to numerically evaluate the system mass matrix as well as the non-linear Coriolis and centrifugal forces associated with the absolute, joint and elastic co-ordinates. Simultaneously, the force module is used to numerically evaluate the generalized external and elastic forces associated with the absolute, joint and elastic co-ordinates. Computational efficiency is achieved by taking advantage of the structure of the resulting system of loosely coupled equations. The solution techniques used in this investigation yield a much smaller operations count and can more efficiently implement in any computer. The algorithms and solutions presented in this paper are illustrated by using an industrial robotic manipulator system. The numerical results using this formulation are also presented and discussed in this paper. Copyright © 2006 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"22 1","pages":"1129-1153"},"PeriodicalIF":0.0,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.876","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51599056","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
Propagation of longest-edge mesh patterns in local adaptive refinement 局部自适应细化中最长边网格模式的传播
Communications in Numerical Methods in Engineering Pub Date : 2006-11-20 DOI: 10.1002/CNM.956
J. P. Suárez, Ángel Plaza, G. Carey
{"title":"Propagation of longest-edge mesh patterns in local adaptive refinement","authors":"J. P. Suárez, Ángel Plaza, G. Carey","doi":"10.1002/CNM.956","DOIUrl":"https://doi.org/10.1002/CNM.956","url":null,"abstract":"We examine the propagation of local adaptive mesh refinement (AMR) under a longest edge conformity scheme. Supporting numerical studies are included and discussed. Of specific interest is the statistical behaviour of the propagation zone in AMR of simplicial meshes. To this end three propagation metrics are used: the total number of original triangles in the propagation paths emanating from any target element, the longest individual edge path, and the extent of secondary refinement due to the conformity. Copyright © 2006 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"543-553"},"PeriodicalIF":0.0,"publicationDate":"2006-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.956","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51602966","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
A locally discontinuous enriched finite element formulation for acoustics 声学的局部不连续丰富有限元公式
Communications in Numerical Methods in Engineering Pub Date : 2006-11-15 DOI: 10.1002/CNM.946
F. Rochinha, G. Alvarez, E. G. D. D. Carmo, A. Loula
{"title":"A locally discontinuous enriched finite element formulation for acoustics","authors":"F. Rochinha, G. Alvarez, E. G. D. D. Carmo, A. Loula","doi":"10.1002/CNM.946","DOIUrl":"https://doi.org/10.1002/CNM.946","url":null,"abstract":"In (Comput. Methods Appl. Mech. Eng. 2006, in press) we introduced a discontinuous Galerkin finite element method for Helmholtz equation in which continuity is relaxed locally in the interior of the element. The shape functions associated with interior nodes of the element are bilinear discontinuous bubbles, and the corresponding degrees of freedom can be eliminated at element level by static condensation yielding a global finite element method with the same connectivity of classical C° Galerkin finite element approximations. Stability is provided by the discontinuous bubbles with appropriate choice of the stabilization parameters related to the weak enforcement of continuity inside each element. In the present work, departing from the stencil obtained by condensation of the bubble degrees of freedom, we build a new strategy for determining the optimal values of these parameters aiming at matching the exact wave number in two different directions. Stability and accuracy of the proposed formulation are demonstrated in several numerical examples.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"23 1","pages":"623-637"},"PeriodicalIF":0.0,"publicationDate":"2006-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.946","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51602229","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
Implicit domain decomposition methods for coupled analysis of offshore platforms 海洋平台耦合分析的隐式区域分解方法
Communications in Numerical Methods in Engineering Pub Date : 2006-11-03 DOI: 10.1002/CNM.945
M. V. Rodrigues, Fabrício Nogueira Correa, B. P. Jacob
{"title":"Implicit domain decomposition methods for coupled analysis of offshore platforms","authors":"M. V. Rodrigues, Fabrício Nogueira Correa, B. P. Jacob","doi":"10.1002/CNM.945","DOIUrl":"https://doi.org/10.1002/CNM.945","url":null,"abstract":"This work presents the implementation of optimized numerical tools for the coupled analysis of floating platforms for offshore oil exploitation. The focus is on time-domain, nonlinear dynamic analysis, considering the coupling between the hydrodynamic behaviour of the hull and the structural behaviour of the mooring lines and risers modelled by finite elements (FEs). Some aspects of the formulation and solution of the large-amplitude equations of motion of the hull of the platform are presented, including a brief description of the hydrodynamic models and calculation of the environmental forces. The main aspects of the formulation for the spatial and time discretization of the structural model for the lines are also discussed. Since coupled analyses may require excessive computational costs, the objective of this work is to present the implementation and application of domain decomposition methods, adapted and specialized for the problem at hand, in order to optimize the efficiency of the computational tool. Two groups of domain decomposition methods are considered: the first is a subcycling technique that takes into account the natural partition that exists between the hull and the lines; the second considers the internal decomposition of the mesh of FEs to represent the mooring lines and risers. The methods are devised having in mind their implementation in computers with parallel architecture. Results of a numerical application are presented in order to assess the performance of the methods.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"23 1","pages":"599-621"},"PeriodicalIF":0.0,"publicationDate":"2006-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.945","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51602193","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: 28
Numerical simulation of injectivity loss in stratified reservoirs 层状油藏注入损失的数值模拟
Communications in Numerical Methods in Engineering Pub Date : 2006-09-19 DOI: 10.1002/CNM.911
J. Wróbel, A. Nachbin, D. Marchesin
{"title":"Numerical simulation of injectivity loss in stratified reservoirs","authors":"J. Wróbel, A. Nachbin, D. Marchesin","doi":"10.1002/CNM.911","DOIUrl":"https://doi.org/10.1002/CNM.911","url":null,"abstract":"Injectivity loss occurs when sea water is injected in offshore fields or during reinjection of produced water that contains solid particles, oil drops and bacteria, each one with its own capability of reducing the permeability in the neighbourhood of the well. Knowledge regarding the causes of injectivity decline and its time scale is important for the prevention and remediation of this problem. We present a numerical model for water injection with retention of solid particles in a vertically stratified reservoir in a cylindrical axisymmetric geometry. The process of migration and retention of solid particles in porous media is studied through computer simulations. To do so, we apply a hydrodynamical formulation for the flow of water containing suspension particles. The numerical tools used in this work are the modified method of characteristics proposed by Douglas and Russell for the concentration of particles (suspended and retained) coupled with the mixed finite element method proposed by Raviart and Thomas for velocity and pressure. We briefly describe the method and show the numerical results. There is a strong tendency for the flow to remain confined in each layer.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"53 1","pages":"507-520"},"PeriodicalIF":0.0,"publicationDate":"2006-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.911","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51600629","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
Rank‐based ant colony algorithms for truss weight minimization with discrete variables 基于秩的离散变量桁架权值最小化蚁群算法
Communications in Numerical Methods in Engineering Pub Date : 2006-09-19 DOI: 10.1002/CNM.912
P. Capriles, L. D. Fonseca, H. Barbosa, Afonso C. C. Lemonge
{"title":"Rank‐based ant colony algorithms for truss weight minimization with discrete variables","authors":"P. Capriles, L. D. Fonseca, H. Barbosa, Afonso C. C. Lemonge","doi":"10.1002/CNM.912","DOIUrl":"https://doi.org/10.1002/CNM.912","url":null,"abstract":"One variant of the ant colony optimization (ACO) metaheuristic, known as rank-based ant system (RBAS), is proposed for weight minimization of structures involving discrete design variables. Stress and displacements constraints are handled using a penalty technique, and the structural analysis is performed by the finite element method. Results obtained for several discrete weight minimization problems show that the RBAS algorithm implemented is effective and competitive when compared with results found by genetic algorithms and another RBAS variant.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"23 1","pages":"553-575"},"PeriodicalIF":0.0,"publicationDate":"2006-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.912","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51600635","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
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