Discretization of transport equations on 2D Cartesian unstructured grids using data from remote cells for the convection terms

Anagnostopoulos, JS

dc.contributor.author	Anagnostopoulos, JS	en
dc.date.accessioned	2014-03-01T01:18:53Z
dc.date.available	2014-03-01T01:18:53Z
dc.date.issued	2003	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15245
dc.subject	Cartesian unstructured grids	en
dc.subject	mesh refinement	en
dc.subject	finite volume method	en
dc.subject	multiple-scale stencils	en
dc.subject	square cavity flow	en
dc.subject	backward facing step	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	NAVIER-STOKES EQUATIONS	en
dc.subject.other	REFINEMENT TECHNIQUE	en
dc.subject.other	RECIRCULATING-FLOWS	en
dc.subject.other	MESH-REFINEMENT	en
dc.subject.other	TURBULENT-FLOW	en
dc.subject.other	SCHEME	en
dc.subject.other	PAST	en
dc.title	Discretization of transport equations on 2D Cartesian unstructured grids using data from remote cells for the convection terms	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/fld.514	en
heal.identifier.secondary	http://dx.doi.org/10.1002/fld.514	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	This paper presents a new finite volume discretization methodology for the solution of transport equations on locally refined or unstructured Cartesian meshes. The implementation of the cell-face values of the dependent variables enables the employment of data from remote cells and thus the use of higher-order differencing schemes. It also results in simple and flux-conservative multiple-scale stencils for the discretization of the governing equations. The latter are finally cast into a generalized form that does not depend on the local mesh structure. The performance of the numerical model is demonstrated on some classical 2D problems using various gridding techniques and a bounded second-order upwind scheme. A stable and efficient behaviour of the algorithm is observed in all test cases. The results indicate that the combination in the present model of both local grid refinement and second-order discretization can produce substantially more accurate solutions than each of the above techniques alone, for the same computational effort. The method is also applicable to turbulent flows and can be easily extended to three-dimensions. Copyright (C) 2003 John Wiley Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS	en
dc.identifier.doi	10.1002/fld.514	en
dc.identifier.isi	ISI:000183155100004	en
dc.identifier.volume	42	en
dc.identifier.issue	3	en
dc.identifier.spage	297	en
dc.identifier.epage	321	en