A new complex variable meshless method for transient heat conduction problems |
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| Affiliation: | [1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; [2]Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China |
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| Abstract: | 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. |
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| Keywords: | meshless method improved complex variable moving least-square approximation com-plex variable meshless method transient heat conduction problem |
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