eprintid: 5999
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/59/99
datestamp: 2023-11-09 16:17:45
lastmod: 2023-11-09 16:17:45
status_changed: 2023-11-09 16:04:31
type: article
metadata_visibility: show
creators_name: Hidayat, M.I.P.
creators_name: Ariwahjoedi, B.
creators_name: Parman, S.
title: A new meshless local B-spline basis functions-FD method for two-dimensional heat conduction problems
ispublished: pub
keywords: Heat conduction; Interpolation; Numerical methods; Plates (structural components), B splines; B-spline base function; Complex domains; Extended surfaces; Finite-difference methods; Generalized finite difference; Heat conduction problems; Meshless; New approaches; Two-dimensional heat conduction problems, Finite difference method
note: cited By 11
abstract: Purpose - The purpose of this paper is to present a new approach of meshless local B-spline based finite difference (FD) method for solving two dimensional transient heat conduction problems. Design/methodology/approach - In the present method, any governing equations are discretized by B-spline approximation which is implemented in the spirit of FD technique using a local B-spline collocation scheme. The key aspect of the method is that any derivative is stated as neighbouring nodal values based on B-spline interpolants. The set of neighbouring nodes are allowed to be randomly distributed thus enhanced flexibility in the numerical simulation can be obtained. The method requires no mesh connectivity at all for either field variable approximation or integration. Time integration is performed by using the Crank-Nicolson implicit time stepping technique. Findings - Several heat conduction problems in complex domains which represent for extended surfaces in industrial applications are examined to demonstrate the effectiveness of the present approach. Comparison of the obtained results with solutions from other numerical method available in literature is given. Excellent agreement with reference numerical method has been found. Research limitations/implications - The method is presented for 2D problems. Nevertheless, it would be also applicable for 3D problems. Practical implications - A transient two dimensional heat conduction in complex domains which represent for extended surfaces in industrial applications is presented. Originality/value - The presented new meshless local method is simple and accurate, while it is also suitable for analysis in domains of arbitrary geometries. © Emerald Group Publishing Limited.
date: 2015
publisher: Emerald Publishing
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84924291208&doi=10.1108%2fHFF-05-2013-0169&partnerID=40&md5=ff65b2a6125f4b196604cb6a90442bf7
id_number: 10.1108/HFF-05-2013-0169
full_text_status: none
publication: International Journal of Numerical Methods for Heat and Fluid Flow
volume: 25
number: 2
pagerange: 225-251
refereed: TRUE
issn: 09615539
citation:   Hidayat, M.I.P. and Ariwahjoedi, B. and Parman, S.  (2015) A new meshless local B-spline basis functions-FD method for two-dimensional heat conduction problems.  International Journal of Numerical Methods for Heat and Fluid Flow, 25 (2).  pp. 225-251.  ISSN 09615539