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Asymptotic boundary conditions for dissipative waves: General theoryAn outstanding issue in the computational analysis of time dependent problems is the imposition of appropriate radiation boundary conditions at artificial boundaries. Accurate conditions are developed which are based on the asymptotic analysis of wave propagation over long ranges. Employing the method of steepest descents, dominant wave groups are identified and simple approximations to the dispersion relation are considered in order to derive local boundary operators. The existence of a small number of dominant wave groups may be expected for systems with dissipation. Estimates of the error as a function of domain size are derived under general hypotheses, leading to convergence results. Some practical aspects of the numerical construction of the asymptotic boundary operators are also discussed.
Document ID
19900009611
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Hagstrom, Thomas (State Univ. of New York Stony Brook., United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1990
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.15:102497
NASA-TM-102497
ICOMP-90-02
E-5291
Accession Number
90N18927
Funding Number(s)
PROJECT: RTOP 505-62-21
CONTRACT_GRANT: NSF DMS-89-05314
CONTRACT_GRANT: NASA ORDER C-99066-G
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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