Stabilised MLS in MLPG method for heat conduction problem. Issue 4 (13th May 2019)

• Record Type: Journal Article
• Authors: Singh, Rituraj; Singh, Krishna Mohan
• Is Part Of: Engineering computations. Volume 36:Issue 4(2019)
• Page Start: 1323
• Page End: 1345
• Publication Date: 2019-05-13
• Subjects: Heat transfer -- MLPG method -- MLS scheme -- Stabilized MLS scheme; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-11-2018-0541
• Languages: English
• ISSNs: 0264-4401

Abstract

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.