Boundary-fitted parametrization of unstructured grids on arbitrary surfaces

Giannakoglou, KC; Chaviaropoulos, P; Papailiou, KD

dc.contributor.author	Giannakoglou, KC	en
dc.contributor.author	Chaviaropoulos, P	en
dc.contributor.author	Papailiou, KD	en
dc.date.accessioned	2014-03-01T01:11:45Z
dc.date.available	2014-03-01T01:11:45Z
dc.date.issued	1996	en
dc.identifier.issn	0965-9978	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11803
dc.subject	Finite Difference	en
dc.subject	Finite Element	en
dc.subject	Grid Generation	en
dc.subject	Heat Transfer	en
dc.subject	Laplace Equation	en
dc.subject	Numerical Algorithm	en
dc.subject	Satisfiability	en
dc.subject	Unstructured Grid	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Calculations	en
dc.subject.other	Computer aided design	en
dc.subject.other	Computer software	en
dc.subject.other	Finite difference method	en
dc.subject.other	Finite element method	en
dc.subject.other	Heat transfer	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Surfaces	en
dc.subject.other	Three dimensional	en
dc.subject.other	Boundary fitted parametrization	en
dc.subject.other	Finite element discretization technique	en
dc.subject.other	Algorithms	en
dc.title	Boundary-fitted parametrization of unstructured grids on arbitrary surfaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0965-9978(96)00009-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0965-9978(96)00009-9	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	This paper presents a numerical algorithm for handling arbitrary surfaces which are described through an unstructured set of grid points. Surface unstructured grids can be produced using any CAD software and the present method allows its transformation into high-quality structured grids which are appropriate for flow and heat-transfer calculations, by means of finite-difference techniques. The connectivity and the coordinates of the initial surface nodes are the data for the calculation. The structured grid is defined by introducing a convenient set of two parametric coordinates that satisfy the surface Laplace equation. These equations are solved in the unstructured surface grid using the finite element technique, and provide the parametric values over the primitive unstructured grid nodes. The curvilinear coordinate lines, which coincide with the structured grid lines, are defined by searching for the solution contours inside the surface patch. The quality of the so-calculated grid is further improved via a structured-to-structured grid transformation method which improves grid characteristics, such as orthogonality, smoothness and user-defined grid-lines clustering. The proposed method has been successfully applied in several surface grid generation problems of industrial interest, some of them being illustrated herein. Copyright © 1996 Civil-Comp Limited and Elsevier Science Limited.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Advances in Engineering Software	en
dc.identifier.doi	10.1016/0965-9978(96)00009-9	en
dc.identifier.isi	ISI:A1996VH72400006	en
dc.identifier.volume	27	en
dc.identifier.issue	1-2	en
dc.identifier.spage	41	en
dc.identifier.epage	49	en