Publication:
An improved particle smoothing procedure for Laplacian operator in a randomly scattered cloud

dc.citedby3
dc.contributor.authorHwang Y.-H.en_US
dc.contributor.authorNg K.C.en_US
dc.contributor.authorSheu T.W.H.en_US
dc.contributor.authorid7402311620en_US
dc.contributor.authorid55310814500en_US
dc.contributor.authorid13302578200en_US
dc.date.accessioned2023-05-29T06:11:35Z
dc.date.available2023-05-29T06:11:35Z
dc.date.issued2016
dc.descriptionLaplace equation; Laplace transforms; Mathematical operators; Numerical analysis; Numerical methods; Backward-facing step flows; Computational results; Diffusion problems; Fluid flow problems; Laplacian operator; Lid-driven cavities; Mathematical representations; Spatial accuracy; Flow of fluidsen_US
dc.description.abstractIn the present study, an improved particle smoothing (IPS) procedure is proposed to imitate the Laplacian operator in a randomly scattered particle cloud. It is devised to provide a more accurate mathematical representation of diffusion term in the moving particle methods. From the numerical analyses, the major source of conventional particle smoothing (PS) schemes leading to solution inaccuracy can be attributed to the intrinsic artificial convection term, whose accuracy order is of O(??1). Spatial accuracy can be improved by eliminating the numerically induced artificial velocity in the proposed IPS scheme. Verification studies are performed by testing the proposed scheme in pure diffusion problems. Benchmark lid-driven cavity and backward-facing step flow problems are solved to demonstrate the superiority of the proposed scheme. In the light of numerical analysis and computational results, it is concluded that the proposed IPS scheme is effective to simulate fluid flow problems in the context of moving particle methods. � 2016, Copyright � Taylor & Francis Group, LLC.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1080/10407790.2016.1177403
dc.identifier.epage135
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84976275096
dc.identifier.spage111
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84976275096&doi=10.1080%2f10407790.2016.1177403&partnerID=40&md5=16b49fcdd72acec24873b79b3e266931
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/22674
dc.identifier.volume70
dc.publisherTaylor and Francis Ltd.en_US
dc.sourceScopus
dc.sourcetitleNumerical Heat Transfer, Part B: Fundamentals
dc.titleAn improved particle smoothing procedure for Laplacian operator in a randomly scattered clouden_US
dc.typeArticleen_US
dspace.entity.typePublication
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