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Implicit flux-split schemes for the Euler equationsRecent progress in the development of implicit algorithms for the Euler equations using the flux-vector splitting method is described. Comparisons of the relative efficiency of relaxation and spatially-split approximately factored methods on a vector processor for two-dimensional flows are made. For transonic flows, the higher convergence rate per iteration of the Gauss-Seidel relaxation algorithms, which are only partially vectorizable, is amply compensated for by the faster computational rate per iteration of the approximately factored algorithm. For supersonic flows, the fully-upwind line-relaxation method is more efficient since the numerical domain of dependence is more closely matched to the physical domain of dependence. A hybrid three-dimensional algorithm using relaxation in one coordinate direction and approximate factorization in the cross-flow plane is developed and applied to a forebody shape at supersonic speeds and a swept, tapered wing at transonic speeds.
Document ID
Document Type
Conference Paper
Thomas, J. L. (NASA Langley Research Center Hampton, VA, United States)
Walters, R. W. (NASA Langley Research Center Hampton, VA, United States)
Van Leer, B. (Delft Technische Hogeschool, Netherlands)
Date Acquired
August 12, 2013
Publication Date
July 1, 1985
Subject Category
Report/Patent Number
AIAA PAPER 85-1680
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