Numerical calculation of singular integrals appearing in three-dimensional potential flow problems

Voutsinas, S; Bergeles, G

dc.contributor.author	Voutsinas, S	en
dc.contributor.author	Bergeles, G	en
dc.date.accessioned	2014-03-01T01:40:00Z
dc.date.available	2014-03-01T01:40:00Z
dc.date.issued	1990	en
dc.identifier.issn	0307904X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23050
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-38249018255&partnerID=40&md5=ae00ed326fa7abb6c866ced8a231acf5	en
dc.subject	boundary element method	en
dc.subject	potential flow	en
dc.subject	quadrature	en
dc.subject	singular integrals	en
dc.title	Numerical calculation of singular integrals appearing in three-dimensional potential flow problems	en
heal.type	journalArticle	en
heal.publicationDate	1990	en
heal.abstract	Two approximate methods for calculating singular integrals appearing in the numerical solution of three-dimensional potential flow problems are presented. The first method is a self-adaptive, fully numerical method based on special copy formulas of Gaussian quadrature rules. The singularity is treated by refining the partitions of the copy formula in the vicinity of the singular point. The second method is a semianalytic method based on asymptotic considerations. Under the small curvature hypothesis, asymptotic expansions are derived for the integrals that are involved in the calculation of the scalar potential, the velocity as well as the deformation field induced from curved quadrilateral surface elements. Compared to other methods, the proposed integration schemes, when applied to practical flow field calculations, require less computational effort. © 1990.	en
heal.journalName	Applied Mathematical Modelling	en
dc.identifier.volume	14	en
dc.identifier.issue	12	en
dc.identifier.spage	618	en
dc.identifier.epage	629	en