Development of an artificial compressibility methodology using flux vector splitting

Pappou, Th; Tsangaris, S

dc.contributor.author	Pappou, Th	en
dc.contributor.author	Tsangaris, S	en
dc.date.accessioned	2014-03-01T01:12:45Z
dc.date.available	2014-03-01T01:12:45Z
dc.date.issued	1997	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12230
dc.subject	Artificial compressibility	en
dc.subject	Flux-vector-splitting method	en
dc.subject	Incompressible Navier-Stokes equations	en
dc.subject	Upwind schemes	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	en
dc.subject.other	Compressible flow	en
dc.subject.other	Finite volume method	en
dc.subject.other	Iterative methods	en
dc.subject.other	Laminar flow	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Pressure	en
dc.subject.other	Euler backward time difference method	en
dc.subject.other	Flux vector splitting method	en
dc.subject.other	Gauss Seidel relaxation	en
dc.subject.other	Upwind schemes	en
dc.subject.other	Fluid dynamics	en
dc.subject.other	algorithm	en
dc.subject.other	flow field	en
dc.subject.other	incompressible flow	en
dc.subject.other	algorithms	en
dc.subject.other	flow modelling	en
dc.subject.other	fluid dynamics	en
dc.subject.other	Navier-Stokes equations	en
dc.title	Development of an artificial compressibility methodology using flux vector splitting	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1097-0363(19970915)25:5<523::AID-FLD574>3.0.CO;2-E	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1097-0363(19970915)25:5<523::AID-FLD574>3.0.CO;2-E	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	An implicit, upwind arithmetic scheme that is efficient for the solution of laminar, steady, incompressible, two-dimensional flow fields in a generalised co-ordinate system is presented in this paper. The developed algorithm is based on the extended flux-vector-splitting (FVS) method for solving incompressible flow fields. As in the case of compressible flows, the FVS method consists of the decomposition of the convective fluxes into positive and negative parts that transmit information from the upstream and downstream flow field respectively. The extension of this method to the solution of incompressible flows is achieved by the method of artificial compressibility, whereby an artificial time derivative of the pressure is added to the continuity equation. In this way the incompressible equations take on a hyperbolic character with pseudopressure waves propagating with finite speed. In such problems the 'information' inside the field is transmitted along its characteristic curves. In this sense, we can use upwind schemes to represent the finite volume scheme of the problem's governing equations. For the representation of the problem variables at the cell faces, upwind schemes up to third order of accuracy are used, while for the development of a time-iterative procedure a first-order-accurate Euler backward-time difference scheme is used and a second-order central differencing for the shear stresses is presented. The discretized Navier-Stokes equations are solved by an implicit unfactored method using Newton iterations and Gauss-Siedel relaxation. To validate the derived arithmetical results against experimental data and other numerical solutions, various laminar flows with known behaviour from the literature are examined. © 1997 by John Wiley & Sons, Ltd.	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(19970915)25:5<523::AID-FLD574>3.0.CO;2-E	en
dc.identifier.isi	ISI:A1997XU49600003	en
dc.identifier.volume	25	en
dc.identifier.issue	5	en
dc.identifier.spage	523	en
dc.identifier.epage	545	en