Quadratically Consistent Meshfree Methods for Heat Conduction in Steady State

WANG Bing-bing; GAO Xin; DUAN Qing-lin

doi:10.3879/j.issn.1000-0887.2013.07.010

Volume 34 Issue 7

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WANG Bing-bing, GAO Xin, DUAN Qing-lin. Quadratically Consistent Meshfree Methods for Heat Conduction in Steady State[J]. Applied Mathematics and Mechanics, 2013, 34(7): 750-755. doi: 10.3879/j.issn.1000-0887.2013.07.010

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Quadratically Consistent Meshfree Methods for Heat Conduction in Steady State

doi: 10.3879/j.issn.1000-0887.2013.07.010

State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology, Dalian, Liaoning 116023, P.R.China

Received Date: 2012-10-19
Rev Recd Date: 2013-05-24
Publish Date: 2013-07-15

Abstract

Abstract

The quadratically consistent 3-point integration method (QC3) was extended to the meshfree analysis of heat conduction problem in steady state. Numerical results show that, in comparison with the standard triangle integration method and the existing 1-point integration method which only satisfies the linear consistency, the proposed QC3 method not only passes the quadratic patch test exactly, but also exhibits significant superiority in terms of accuracy, convergence and efficiency.
- meshfree,
- numerical integration,
- derivative correction,
- heat conduction,
- consistency

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References(10)

References

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