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Asymptotic-induced numerical methods for conservation lawsAsymptotic-induced methods are presented for the numerical solution of hyperbolic conservation laws with or without viscosity. The methods consist of multiple stages. The first stage is to obtain a first approximation by using a first-order method, such as the Godunov scheme. Subsequent stages of the method involve solving internal-layer problems identified by using techniques derived via asymptotics. Finally, a residual correction increases the accuracy of the scheme. The method is derived and justified with singular perturbation techniques.
Document ID
19910006992
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Garbey, Marc (Lyon-1 Univ. Hampton, VA, United States)
Scroggs, Jeffrey S. (Institute for Computer Applications in Science and Engineering)
Date Acquired
September 6, 2013
Publication Date
December 1, 1990
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
NAS 1.26:187483
AD-A232082
NASA-CR-187483
ICASE-90-87
Accession Number
91N16305
Funding Number(s)
CONTRACT_GRANT: W-31-109-ENG-38
CONTRACT_GRANT: NAS1-18605
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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