Application of the meshless generalised RKPM to the transient advection-diffusion-reaction equation

Gharib, M; Khezri, M; Foster, SJ; Castel, A

Application of the meshless generalised RKPM to the transient advection-diffusion-reaction equation

Gharib, M Khezri, M Foster, SJ Castel, A

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Computers and Structures, 2017, 193, pp. 172-186
Issue Date:: 2017-12-01

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Field	Value	Language
dc.contributor.author	Gharib, M
dc.contributor.author	Khezri, M
dc.contributor.author	Foster, SJ
dc.contributor.author	Castel, A https://orcid.org/0000-0003-1619-9643
dc.date.accessioned	2022-07-12T06:17:26Z
dc.date.available	2022-07-12T06:17:26Z
dc.date.issued	2017-12-01
dc.identifier.citation	Computers and Structures, 2017, 193, pp. 172-186
dc.identifier.issn	0045-7949
dc.identifier.issn	1879-2243
dc.identifier.uri	http://hdl.handle.net/10453/158809
dc.description.abstract	A variety of physical problems may be expressed using the advection–diffusion-reaction (ADR) equation that encompasses transport processes into a porous or nonporous material. Finding a theoretical solution to the ADR equation is difficult with time-dependent nonlinear coefficients, complicated geometries, general initial value and/or boundary conditions. In this paper a meshless model is developed by adapting the generalised reproducing kernel particle method to the strong and weak integral forms of ADR equation. Moreover, mixed–type boundary conditions are directly enforced via generalising the corrected collocation method. The model is validated using existing analytical solutions and shown to be both accurate and efficient.
dc.language	English
dc.publisher	Elsevier
dc.relation.ispartof	Computers and Structures
dc.relation.isbasedon	10.1016/j.compstruc.2017.08.007
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	09 Engineering
dc.subject.classification	Applied Mathematics
dc.title	Application of the meshless generalised RKPM to the transient advection-diffusion-reaction equation
dc.type	Journal Article
utslib.citation.volume	193
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-07-12T06:17:24Z
pubs.publication-status	Published
pubs.volume	193

Abstract:

A variety of physical problems may be expressed using the advection–diffusion-reaction (ADR) equation that encompasses transport processes into a porous or nonporous material. Finding a theoretical solution to the ADR equation is difficult with time-dependent nonlinear coefficients, complicated geometries, general initial value and/or boundary conditions. In this paper a meshless model is developed by adapting the generalised reproducing kernel particle method to the strong and weak integral forms of ADR equation. Moreover, mixed–type boundary conditions are directly enforced via generalising the corrected collocation method. The model is validated using existing analytical solutions and shown to be both accurate and efficient.

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http://hdl.handle.net/10453/158809