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Non-oscillatory central differencing for hyperbolic conservation lawsMany of the recently developed high resolution schemes for hyperbolic conservation laws are based on upwind differencing. The building block for these schemes is the averaging of an appropriate Godunov solver; its time consuming part involves the field-by-field decomposition which is required in order to identify the direction of the wind. Instead, the use of the more robust Lax-Friedrichs (LxF) solver is proposed. The main advantage is simplicity: no Riemann problems are solved and hence field-by-field decompositions are avoided. The main disadvantage is the excessive numerical viscosity typical to the LxF solver. This is compensated for by using high-resolution MUSCL-type interpolants. Numerical experiments show that the quality of results obtained by such convenient central differencing is comparable with those of the upwind schemes.
Document ID
19890001211
Acquisition Source
Legacy CDMS
Document Type
Preprint (Draft being sent to journal)
Authors
Nessyahu, Haim (Tel-Aviv Univ. (Israel).)
Tadmor, Eitan (Tel-Aviv Univ.)
Date Acquired
September 5, 2013
Publication Date
September 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
NAS 1.26:181709
ICASE-88-51
NASA-CR-181709
Accession Number
89N10582
Funding Number(s)
CONTRACT_GRANT: NSF DMS-85-03294
PROJECT: RTOP 505-90-21-01
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: BSF-85-00346
CONTRACT_GRANT: NAS1-18107
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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