A new complex variable meshless method for transient heat conduction problems

被引：34

作者：

Wang Jian-Fei ^{[1
,2
]}

Cheng Yu-Min ^{[1
,2
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[2] Shanghai Univ, Shanghai Key Lab Mech Energy Engn, Shanghai 200072, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 12期

基金：

中国国家自然科学基金;

关键词：

meshless method; improved complex variable moving least-square approximation; complex variable meshless method; transient heat conduction problem; KERNEL PARTICLE METHOD; FREE GALERKIN METHOD;

D O I：

10.1088/1674-1056/21/12/120206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：9

共 22 条

[1] Node moving adaptive refinement strategy for planar elasticity problems using discrete least squares meshless method [J].