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Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation LawsIn these lecture notes we describe the construction, analysis, and application of ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes for hyperbolic conservation laws and related Hamilton- Jacobi equations. ENO and WENO schemes are high order accurate finite difference schemes designed for problems with piecewise smooth solutions containing discontinuities. The key idea lies at the approximation level, where a nonlinear adaptive procedure is used to automatically choose the locally smoothest stencil, hence avoiding crossing discontinuities in the interpolation procedure as much as possible. ENO and WENO schemes have been quite successful in applications, especially for problems containing both shocks and complicated smooth solution structures, such as compressible turbulence simulations and aeroacoustics. These lecture notes are basically self-contained. It is our hope that with these notes and with the help of the quoted references, the reader can understand the algorithms and code them up for applications.
Document ID
19980007543
Acquisition Source
Langley Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Shu, Chi-Wang (Brown Univ. Providence, RI United States)
Date Acquired
September 6, 2013
Publication Date
November 1, 1997
Subject Category
Numerical Analysis
Report/Patent Number
ICASE-97-65
NASA/CR-97-206253
NAS 1.26:206253
Funding Number(s)
CONTRACT_GRANT: NAS1-19480
CONTRACT_GRANT: DAAH04-94-G-0205
CONTRACT_GRANT: NSF ECS-96-27849
CONTRACT_GRANT: NSF DMS-95-00814
CONTRACT_GRANT: DAAG55-97-I-0318
CONTRACT_GRANT: NSF ECS-92-14488
CONTRACT_GRANT: NSF INT-96-01084
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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