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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 roper summation-by-parts formula is found for the approximate derivative. A 'simultaneous approximation term' (SAT) 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
19930013937
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Carpenter, Mark H.
(Institute for Computer Applications in Science and Engineering Hampton, VA, United States)
Gottlieb, David
(Brown Univ. Providence, RI., United States)
Abarbanel, Saul
(Tel-Aviv Univ. Israel)
Date Acquired
September 6, 2013
Publication Date
March 1, 1993
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.26:191436
NASA-CR-191436
ICASE-93-9
AD-A262950
Report Number: NAS 1.26:191436
Report Number: NASA-CR-191436
Report Number: ICASE-93-9
Report Number: AD-A262950
Accession Number
93N23126
Funding Number(s)
CONTRACT_GRANT: NAS1-19480
CONTRACT_GRANT: NAS1-18605
PROJECT: RTOP 505-90-52-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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