Preconditioning and multigrid for Euler flows with low-subsonic regions:

Abstract: "For subsonic flows and upwind-discretized, linearized 1-D Euler equations, the smoothing behavior of multigrid-accelerated point Gauss-Seidel relaxation is investigated. Error decay by convection over domain boundaries is also discussed. A fix to poor convergence rates at low Mach nu...

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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 1994,12
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Summary:Abstract: "For subsonic flows and upwind-discretized, linearized 1-D Euler equations, the smoothing behavior of multigrid-accelerated point Gauss-Seidel relaxation is investigated. Error decay by convection over domain boundaries is also discussed. A fix to poor convergence rates at low Mach numbers is sought in replacing the point relaxation applied to unconditioned Euler equations, by locally implicit 'time' stepping applied to preconditioned Euler equations. The locally implicit iteration step is optimized for good damping of high-frequency errors. Numerical inaccuracy at low Mach numbers is also addressed. Arguments are given why in the present case it is not a necessity to solve this accuracy problem."
Physical Description:13 S.

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