Local solution acceleration method for the Euler and Navier-Stokes equations

Drikakis, D; Tsangaris, S

dc.contributor.author	Drikakis, D	en
dc.contributor.author	Tsangaris, S	en
dc.date.accessioned	2014-03-01T01:08:55Z
dc.date.available	2014-03-01T01:08:55Z
dc.date.issued	1992	en
dc.identifier.issn	0001-1452	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10733
dc.subject	navier-stokes equation	en
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	Aerodynamics - Wings and Airfoils	en
dc.subject.other	Computer Programming - Algorithms	en
dc.subject.other	Computer Software - Applications	en
dc.subject.other	Mathematical Techniques - Iterative Methods	en
dc.subject.other	Euler Equations	en
dc.subject.other	Gauss-Seidel Relaxation	en
dc.subject.other	Local Solution Acceleration Method	en
dc.subject.other	Monotone Upstream Centered Scheme for Conservation Laws (MUSCL)	en
dc.subject.other	Navier-Stokes Equations	en
dc.subject.other	Software Package MUSCL	en
dc.subject.other	Flow of Fluids	en
dc.subject.other	Euler Equations	en
dc.subject.other	Navier-Stokes Equations	en
dc.subject.other	Solution	en
dc.title	Local solution acceleration method for the Euler and Navier-Stokes equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/3.10924	en
heal.identifier.secondary	http://dx.doi.org/10.2514/3.10924	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	The solution of the compressible Euler and Navier-Stokes equations via an upwind finite volume scheme is obtained. For the inviscid fluxes, the monotone upstream-centered scheme for conservation laws (MUSCL) has been incorporated into a Riemann solver. The MUSCL scheme is used for the unfactored implicit equations that are solved by a Newton form, and relaxation is performed via Gauss-Seidel relaxation technique. The solution on the fine grid is obtained by iterating first on a sequence of coarser grids and then interpolating the solution up to the next refined grid. Since the distribution of the numerical error is nonuniform, the local solution of the equations can be obtained in regions where the numerical errors are large. The construction of the partial meshes, in which the iterations will be continued, is determined by an adaptive procedure taking into account some convergence criteria. Reduction of the computational work units for two-dimensional problems is obtained via the local adaptive mesh solution which is expected to be more effective in three-dimensional complex flow computations.	en
heal.publisher	AMER INST AERONAUT ASTRONAUT	en
heal.journalName	AIAA journal	en
dc.identifier.doi	10.2514/3.10924	en
dc.identifier.isi	ISI:A1992HE96700009	en
dc.identifier.volume	30	en
dc.identifier.issue	2	en
dc.identifier.spage	340	en
dc.identifier.epage	348	en