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Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemesWe present a systematic method for constructing boundary conditions (numerical and physical) of the required accuracy, for compact (Pade-like) high-order finite-difference schemes for hyperbolic systems. First a proper summation-by-parts formula is found for the approximate derivative. A 'simultaneous approximation term' is then introduced to treat the boundary conditions. This procedure leads to time-stable schemes even in the system case. An explicit construction of the fourth-order compact case is given. Numerical studies are presented to verify the efficacy of the approach.
Document ID
19950030021
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Carpenter, Mark H.
(NASA Langley Research Center Hampton, VA, United States)
Gottlieb, David
(Brown Univ. Providence, RI, United States)
Abarbanel, Saul
(Tel-Aviv Univ. Tel-Aviv, Israel)
Date Acquired
August 16, 2013
Publication Date
April 1, 1994
Publication Information
Publication: Journal of Computational Physics
Volume: 111
Issue: 2
ISSN: 0021-9991
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
95A61620
Funding Number(s)
CONTRACT_GRANT: NAS1-19480
CONTRACT_GRANT: NAS1-18605
Distribution Limits
Public
Copyright
Other

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