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A new complex variable meshless method for transient heat conduction problems 被引量:5

A new complex variable meshless method for transient heat conduction problems
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摘要 In this paper, based on the improved complex variable moving least-square (ICVMLS) approximation, a new complex variable meshless method (CVMM) for two-dimensional (2D) transient heat conduction problems is presented. The variational method is employed to obtain the discrete equations, and the essential boundary conditions are imposed by the penalty method. As the transient heat conduction problems are related to time, the Crank-Nicolson difference scheme for two-point boundary value problems is selected for the time discretization. Then the corresponding formulae of the CVMM for 2D heat conduction problems are obtained. In order to demonstrate the applicability of the proposed method, numerical examples are given to show the high convergence rate, good accuracy, and high efficiency of the CVMM presented in this paper. In this paper, based on the improved complex variable moving least-square (ICVMLS) approximation, a new complex variable meshless method (CVMM) for two-dimensional (2D) transient heat conduction problems is presented. The variational method is employed to obtain the discrete equations, and the essential boundary conditions are imposed by the penalty method. As the transient heat conduction problems are related to time, the Crank-Nicolson difference scheme for two-point boundary value problems is selected for the time discretization. Then the corresponding formulae of the CVMM for 2D heat conduction problems are obtained. In order to demonstrate the applicability of the proposed method, numerical examples are given to show the high convergence rate, good accuracy, and high efficiency of the CVMM presented in this paper.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第12期42-50,共9页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China(Grant No.11171208) the Shanghai Leading Academic Discipline Project,China(Grant No.S30106) the Innovation Fund for Graduate Student of Shanghai University of China (Grant No.SHUCX120125)
关键词 meshless method improved complex variable moving least-square approximation com-plex variable meshless method transient heat conduction problem meshless method, improved complex variable moving least-square approximation, com-plex variable meshless method, transient heat conduction problem
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