A vorticity-streamfunction formulation for steady incompressible two-dimensional flows

Chaviaropoulos, P; Giannakoglou, K

dc.contributor.author	Chaviaropoulos, P	en
dc.contributor.author	Giannakoglou, K	en
dc.date.accessioned	2014-03-01T01:11:39Z
dc.date.available	2014-03-01T01:11:39Z
dc.date.issued	1996	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11758
dc.subject	Incompressible flows	en
dc.subject	Krylov subspace methods	en
dc.subject	Laminar flows	en
dc.subject	Preconditioning	en
dc.subject	Vorticity-streamfunction formulation	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	Algorithms	en
dc.subject.other	Compressibility of liquids	en
dc.subject.other	Diffusion in liquids	en
dc.subject.other	Finite difference method	en
dc.subject.other	Heat convection	en
dc.subject.other	Kinematics	en
dc.subject.other	Laminar flow	en
dc.subject.other	Linearization	en
dc.subject.other	Mathematical models	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Reynolds number	en
dc.subject.other	Vortex flow	en
dc.subject.other	Incompressible flow	en
dc.subject.other	Poisson equation	en
dc.subject.other	Vorticity streamfunction transformation	en
dc.subject.other	Viscous flow	en
dc.subject.other	incompressible flow	en
dc.subject.other	laminar flow	en
dc.subject.other	stream functions	en
dc.subject.other	vorticity	en
dc.title	A vorticity-streamfunction formulation for steady incompressible two-dimensional flows	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1097-0363(19960915)23:5<431::AID-FLD432>3.0.CO;2-5	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1097-0363(19960915)23:5<431::AID-FLD432>3.0.CO;2-5	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	A vorticity-streamfunction formulation for incompressible planar viscous flows is presented. The standard kinematic field equations are discretized using centred finite difference schemes and solved in a coupled way via a Newton-like linearization scheme. The linearized system of partial differential equations is handled through the restarting linear GMRES algorithm, preconditioned by means of an incomplete LU approximate factorization. The proposed solution technique constitutes a fast and robust algorithm for treating laminar flows at high Reynolds numbers. The pressure field is obtained at a subsequent step by solving a convection-diffusion equation in terms of the stagnation pressure, which presents certain advantages compared with the widely used static pressure Poisson equation. Results are shown for a wide variety of applications including internal and external flows.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Fluids	en
dc.identifier.doi	10.1002/(SICI)1097-0363(19960915)23:5<431::AID-FLD432>3.0.CO;2-5	en
dc.identifier.isi	ISI:A1996VH22400002	en
dc.identifier.volume	23	en
dc.identifier.issue	5	en
dc.identifier.spage	431	en
dc.identifier.epage	444	en