Stabilised MLS in MLPG method for heat conduction problem
ISSN: 0264-4401
Article publication date: 10 May 2019
Issue publication date: 5 June 2019
Abstract
Purpose
The purpose of this paper is to assess the performance of the stabilised moving least squares (MLS) scheme in the meshless local Petrov–Galerkin (MLPG) method for heat conduction method.
Design/methodology/approach
In the current work, the authors extend the stabilised MLS approach to the MLPG method for heat conduction problem. Its performance has been compared with the MLPG method based on the standard MLS and local coordinate MLS. The patch tests of MLS and modified MLS schemes have been presented along with the one- and two-dimensional examples for MLPG method of the heat conduction problem.
Findings
In the stabilised MLS, the condition number of moment matrix is independent of the nodal spacing and it is nearly constant in the global domain for all grid sizes. The shifted polynomials based MLS and stabilised MLS approaches are more robust than the standard MLS scheme in the MLPG method analysis of heat conduction problems.
Originality/value
The MLPG method based on the stabilised MLS scheme.
Keywords
Acknowledgements
The authors gratefully acknowledge the financial support to the first author from IIT-Roorkee through MHRD research fellowship and computational resources provided by CFD Laboratory, MIED, IIT-Roorkee (Supported by FIST Grant of DST, Govt of India).
Citation
Singh, R. and Singh, K.M. (2019), "Stabilised MLS in MLPG method for heat conduction problem", Engineering Computations, Vol. 36 No. 4, pp. 1323-1345. https://doi.org/10.1108/EC-11-2018-0541
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited