Communications in Numerical Methods in Engineering最新文献_第5页

A new approach to avoid excessive numerical diffusion in Eulerian–Lagrangian methods 欧拉-拉格朗日方法中避免过多数值扩散的新方法

Communications in Numerical Methods in Engineering Pub Date : 2007-03-05 DOI: 10.1002/CNM.996

A. Younes, M. Fahs, P. Ackerer

引用次数: 18

Note on the determination of the ignition point in forest fires propagation using a control algorithm 关于用控制算法确定森林火灾传播中着火点的注意事项

Communications in Numerical Methods in Engineering Pub Date : 2007-02-09 DOI: 10.1002/CNM.990

M. Bergmann, O. Séro-Guillaume, S. Ramezani

引用次数: 3

An interpolation‐based local differential quadrature method to solve partial differential equations using irregularly distributed nodes 基于插值的局部微分正交法求解不规则分布节点的偏微分方程

Communications in Numerical Methods in Engineering Pub Date : 2007-01-12 DOI: 10.1002/CNM.978

Hang Ma, Q. Qin

{"title":"An interpolation‐based local differential quadrature method to solve partial differential equations using irregularly distributed nodes","authors":"Hang Ma, Q. Qin","doi":"10.1002/CNM.978","DOIUrl":"https://doi.org/10.1002/CNM.978","url":null,"abstract":"To circumvent the constraint in application of the conventional differential quadrature (DQ) method that the solution domain has to be a regular region, an interpolation-based local differential quadrature (LDQ) method is proposed in this paper. Instead of using regular nodes placed on mesh lines in the DQ method (DQM), irregularly distributed nodes are employed in the LDQ method. That is, any spatial derivative at a nodal point is approximated by a linear weighted sum of the functional values of irregularly distributed nodes in the local physical domain. The feature of the new approach lies in the fact that the weighting coefficients are determined by the quadrature rule over the irregularly distributed local supporting nodes with the aid of nodal interpolation techniques developed in the paper. Because of this distinctive feature, the LDQ method can be consistently applied to linear and nonlinear problems and is really a mesh-free method without the limitation in the solution domain of the conventional DQM. The effectiveness and efficiency of the method are validated by two simple numerical examples by solving boundary-value problems of a linear and a nonlinear partial differential equation. Copyright © 2007 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"17 1","pages":"573-584"},"PeriodicalIF":0.0,"publicationDate":"2007-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.978","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51603537","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

Boundary-value recovery by the Trefftz approach in structural inverse problems 结构逆问题的Trefftz方法边值恢复

Communications in Numerical Methods in Engineering Pub Date : 2006-12-29 DOI: 10.1002/CNM.974

M. Karaś, A. Zieliński

{"title":"Boundary-value recovery by the Trefftz approach in structural inverse problems","authors":"M. Karaś, A. Zieliński","doi":"10.1002/CNM.974","DOIUrl":"https://doi.org/10.1002/CNM.974","url":null,"abstract":"The main idea of the Trefftz approach to numerical modelling consists in the application of trial functions identically fulfilling governing partial differential equations of a considered problem. When boundary conditions of the problem are defined a priori (direct formulation), they can be used to calculate the unknown solution coefficients. In structural inverse problems, the above conditions can be partly unknown (its shape is assumed to be unchanged). Instead, we can measure certain quantities inside the investigated structure and then approximately define the whole boundary-value problem. \u0000 \u0000 \u0000 \u0000Usually, solutions of inverse problems are connected with minimization of certain functionals, which results in optimization procedures. This kind of formulation is presented in detail and illustrated by numerical examples. The properties of the Trefftz approach allow to formulate alternative, much more effective, simple direct algorithms, which considerably shorten the time of computer calculations. This is clearly shown in several computational benchmarks for 2D elastic inverse problems. The proposed algorithms can be applied to any inverse boundary-value problem, for which the complete T-function sets are known. Copyright © 2006 John Wiley & Sons, Ltd.","PeriodicalId":51245,"journal":{"name":"Communications in Numerical Methods in Engineering","volume":"24 1","pages":"605-625"},"PeriodicalIF":0.0,"publicationDate":"2006-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/CNM.974","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51603387","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: 8

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

引用次数: 6

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

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

引用次数: 174

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

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

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