On the 3-D inverse potential target pressure problem. Part 2. Numerical aspects and application to duct design

Dedoussis, V; Chaviaropoulos, P; Papailiou, KD

dc.contributor.author	Dedoussis, V	en
dc.contributor.author	Chaviaropoulos, P	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/123456789/11601
dc.subject.other	Algorithms	en
dc.subject.other	Computational methods	en
dc.subject.other	Ducts	en
dc.subject.other	Equations of motion	en
dc.subject.other	Finite difference method	en
dc.subject.other	Integration	en
dc.subject.other	Inverse problems	en
dc.subject.other	Nozzles	en
dc.subject.other	Three dimensional	en
dc.subject.other	GMRES algorithm	en
dc.subject.other	Potential function/stream function formulation	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	Ducts	en
dc.subject.other	Flow	en
dc.subject.other	Geometrical Effects	en
dc.title	On the 3-D inverse potential target pressure problem. Part 2. Numerical aspects and application to duct design	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0022112095000073	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0022112095000073	en
heal.publicationDate	1995	en
heal.abstract	A potential function/stream function formulation is introduced for the solution of the fully 3-D inverse potential `target pressure' problem. In the companion paper (Part 1) it is seen that the general 3-D inverse problem is ill-posed but accepts as a particular solution elementary streamtubes with orthogonal cross-section. Under this simplification, a novel set of flow equations was derived and discussed. The purpose of the present paper is to present the computational techniques used for the numerical integration of the flow and geometry equations proposed in Part 1. The governing flow equations are discretized with centred finite difference schemes on a staggered grid and solved in their linearized form using the preconditioned GMRES algorithm. The geometry equations which form a set of first-order o.d.e.s are integrated numerically using a second-order-accurate space marching scheme. The resulting computational algorithm is applied to a double turning duct and a 3-D converging-diverging nozzle `reproduction' test case.	en
heal.publisher	Cambridge Univ Press, New York, NY, United States	en
heal.journalName	Journal of Fluid Mechanics	en
dc.identifier.doi	10.1017/S0022112095000073	en
dc.identifier.volume	282	en
dc.identifier.spage	147	en
dc.identifier.epage	162	en