Condition improvement for point relaxation in multigrid, subsonic Euler-flow computations:

Abstract: "Insight is given in the conditions of derivative matrices to be inverted in point-relaxation methods for 1-D and 2-D, upwind-discretized Euler equations. Speed regimes are found where ill- conditioning of these matrices occurs, 1-D flow equations appear to be less well conditioned th...

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Bibliographic Details
Main Author: Koren, Barry (Author)
Format: Book
Language:English
Published: Amsterdam 1994
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1994,13
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Summary:Abstract: "Insight is given in the conditions of derivative matrices to be inverted in point-relaxation methods for 1-D and 2-D, upwind-discretized Euler equations. Speed regimes are found where ill- conditioning of these matrices occurs, 1-D flow equations appear to be less well conditioned than 2-D flow equations. Fixes to the ill conditions follow more or less directly, when thinking of adding regularizing matrices to the derivative matrices. A smoothing analysis is made of point Gauss- Seidel relaxation applied to the Euler equations conditioned by such an additive matrix. The conditioned solution method is successfully applied to a very low-subsonic, steady, 2-D stagnation flow."
Physical Description:11 S.

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