On the 3-D inverse potential target pressure problem. Part 1. Theoretical aspects and method formulation

Chaviaropoulos, P; Dedoussis, V; Papailiou, KD

dc.contributor.author	Chaviaropoulos, P	en
dc.contributor.author	Dedoussis, V	en
dc.contributor.author	Papailiou, KD	en
dc.date.accessioned	2014-03-01T01:11:18Z
dc.date.available	2014-03-01T01:11:18Z
dc.date.issued	1995	en
dc.identifier.issn	00221120	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11600
dc.subject.other	Aspect ratio	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Equations of motion	en
dc.subject.other	Inverse problems	en
dc.subject.other	Mathematical transformations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Three dimensional	en
dc.subject.other	Vectors	en
dc.subject.other	Curvature tensor	en
dc.subject.other	Frenet equations	en
dc.subject.other	Streamtube cross section	en
dc.subject.other	Three dimensional inverse potential target pressure problem	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	Computational Fluid Dynamics	en
dc.subject.other	Target Pressure	en
dc.subject.other	Thermodynamics	en
dc.subject.other	Ducts	en
dc.subject.other	Computational Fluid	en
dc.subject.other	Dynamics	en
dc.title	On the 3-D inverse potential target pressure problem. Part 1. Theoretical aspects and method formulation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0022112095000061	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0022112095000061	en
heal.publicationDate	1995	en
heal.abstract	An inverse potential method is introduced to solve the fully 3-D target pressure problem. The method is based on a potential function/stream function formulation, where the physical space is mapped onto a computational one via a body-fitted coordinate transformation. A novel procedure based on differential geometry and generalized tensor analysis is used to formulate the method. The governing differential equations are derived by requiring the curvature tensor of the flat 3-D physical Eucledian space to be zero. The resulting equations are discussed and investigated with particular emphasis on the existence and uniqueness of their solution.	en
heal.publisher	Cambridge Univ Press, New York, NY, United States	en
heal.journalName	Journal of Fluid Mechanics	en
dc.identifier.doi	10.1017/S0022112095000061	en
dc.identifier.volume	282	en
dc.identifier.spage	131	en
dc.identifier.epage	146	en