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A study of numerical methods for hyperbolic conservation laws with stiff source termsIn the present study of the behavior of typical numerical methods in the case of a model advection equation having a parameter-dependent source term, two approaches to the incorporation of the source terms are used: MacCormack-type predictor-corrector methods with flux limiters, and splitting methods in which the fluid dynamics and chemistry are handled in separate steps. The latter are found to perform slightly better. The model scalar equation is used to show that the incorrectness of the propagation speeds of discontinuities observed in the stiff case is due to the introduction of nonequilibrium values through numerical dissipation in the advection step.
Document ID
19900034887
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Leveque, R. J.
(Washington, University Seattle, United States)
Yee, H. C.
(NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Publication Information
Publication: Journal of Computational Physics
Volume: 86
ISSN: 0021-9991
Subject Category
Numerical Analysis
Accession Number
90A21942
Funding Number(s)
CONTRACT_GRANT: NSF DMS-86-57319
CONTRACT_GRANT: NCA2-185
Distribution Limits
Public
Copyright
Other

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