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High order finite difference and multigrid methods for spatially evolving instability in a planar channelThe fourth-order finite-difference scheme with fully implicit time-marching presently used to computationally study the spatial instability of planar Poiseuille flow incorporates a novel treatment for outflow boundary conditions that renders the buffer area as short as one wavelength. A semicoarsening multigrid method accelerates convergence for the implicit scheme at each time step; a line-distributive relaxation is developed as a robust fast solver that is efficient for anisotropic grids. Computational cost is no greater than that of explicit schemes, and excellent agreement with linear theory is obtained.
Document ID
19930054648
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Liu, C.
(NASA Langley Research Center Hampton, VA, United States)
Liu, Z.
(Colorado Univ. Denver, United States)
Date Acquired
August 16, 2013
Publication Date
May 1, 1993
Publication Information
Publication: Journal of Computational Physics
Volume: 106
Issue: 1
ISSN: 0021-9991
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
93A38645
Funding Number(s)
CONTRACT_GRANT: NAS1-19016
Distribution Limits
Public
Copyright
Other

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