On the solution of the compressible Navier- Stokes equations using improved flux vector splitting methods

Drikakis, D; Tsangaris, S

dc.contributor.author	Drikakis, D	en
dc.contributor.author	Tsangaris, S	en
dc.date.accessioned	2014-03-01T01:09:29Z
dc.date.available	2014-03-01T01:09:29Z
dc.date.issued	1993	en
dc.identifier.issn	0307-904X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11020
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0027611219&partnerID=40&md5=9cfb7037bad73478e93ecb40d0511c53	en
dc.subject	flux vector splitting methods	en
dc.subject	mathematical model	en
dc.subject	upwind schemes	en
dc.subject	viscous compressible flows	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Flux Vector Splitting	en
dc.subject.other	Mathematical Techniques	en
dc.subject.other	Navier-Stokes Equations	en
dc.subject.other	Boundary layers	en
dc.subject.other	Compressible flow	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Diffusion	en
dc.subject.other	Flow interactions	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shock waves	en
dc.subject.other	Unsteady flow	en
dc.subject.other	Vectors	en
dc.subject.other	Viscous flow	en
dc.subject.other	Discretization	en
dc.subject.other	Flux vector splitting method	en
dc.subject.other	Gauss-Seidel relaxation technique	en
dc.subject.other	Monotone upstream centered scheme for conservation law	en
dc.subject.other	Navier-Stokes equations	en
dc.subject.other	Upwind schemes	en
dc.subject.other	Gas dynamics	en
dc.title	On the solution of the compressible Navier- Stokes equations using improved flux vector splitting methods	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	In this paper the accuracy of two flux vector splitting methods using upwind schemes up to the fourth order of accuracy for the solution of the unsteady compressible Navier-Stokes equations is improved. Two of the most well-known methods for the solution of the inviscid gas dynamic equations, the flux vector splitting method by Steger and Warming and the flux vector splitting method by van Leer are presented for the first time in combination with a five-point upwind scheme. Inaccuracies of flux vector splitting methods, which have been presented in the recent literature, can be eliminated using the present schemes in conjunction with proposed corrections for the flux splittings. The boundary layers can be approached with high-order accuracy. Investigation of the flux vector splitting method is also carried out in the context of a monotone upstream centered scheme for conservation law forms (MUSCL). The present techniques can be used in compressible viscous flows, predicting with accuracy viscous phenomena such as separation and shock boundary layer interaction. Fast convergence of the implicit method is obtained by solving the system of equations with the Gauss-Seidel relaxation technique. Investigation of the diffusion terms' discretization scheme is presented. © 1993.	en
heal.publisher	BUTTERWORTH-HEINEMANN	en
heal.journalName	Applied Mathematical Modelling	en
dc.identifier.isi	ISI:A1993LC67200001	en
dc.identifier.volume	17	en
dc.identifier.issue	6	en
dc.identifier.spage	282	en
dc.identifier.epage	297	en