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Three-dimensional multigrid algorithms for the flux-split Euler equationsThe Full Approximation Scheme (FAS) multigrid method is applied to several implicit flux-split algorithms for solving the three-dimensional Euler equations in a body fitted coordinate system. Each of the splitting algorithms uses a variation of approximate factorization and is implemented in a finite volume formulation. The algorithms are all vectorizable with little or no scalar computation required. The flux vectors are split into upwind components using both the splittings of Steger-Warming and Van Leer. The stability and smoothing rate of each of the schemes are examined using a Fourier analysis of the complete system of equations. Results are presented for three-dimensional subsonic, transonic, and supersonic flows which demonstrate substantially improved convergence rates with the multigrid algorithm. The influence of using both a V-cycle and a W-cycle on the convergence is examined.
Document ID
19890002945
Acquisition Source
Legacy CDMS
Document Type
Technical Publication (TP)
Authors
Anderson, W. Kyle (NASA Langley Research Center Hampton, VA., United States)
Thomas, James L. (NASA Langley Research Center Hampton, VA., United States)
Whitfield, David L. (Mississippi State Univ. Mississippi State., United States)
Date Acquired
September 5, 2013
Publication Date
November 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.60:2829
L-16416
NASA-TP-2829
Accession Number
89N12316
Funding Number(s)
PROJECT: RTOP 505-60-01-03
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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