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タイトルTime-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
本文(外部サイト)http://hdl.handle.net/2060/19930013937
著者(英)Abarbanel, Saul; Gottlieb, David; Carpenter, Mark H.
著者所属(英)Institute for Computer Applications in Science and Engineering
発行日1993-03-01
言語eng
内容記述We 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.
NASA分類NUMERICAL ANALYSIS
レポートNO93N23126
NASA-CR-191436
NAS 1.26:191436
ICASE-93-9
AD-A262950
権利No Copyright


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