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Entropy condition satisfying approximations for the full potential equations of transonic flowA class of conservative difference approximations for the steady full potential equation was presented. They are, in general, easier to program than the usual density biasing algorithms, and in fact, differ only slightly from them. Rigorous proof indicated that these new schemes satisfied a new discrete entropy inequality, which ruled out expansion shocks, and that they have sharp, steady, discrete shocks. A key tool in the analysis is the construction of a new entropy inequality for the full potential equation itself. Results of some numerical experiments using the new schemes are presented.
Document ID
19840012417
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Osher, S.
(California Univ. Hampton, VA, United States)
Whitlow, W., Jr.
(NASA Langley Research Center)
Hafez, M. M.
(Computer Dynamics, Inc.)
Date Acquired
September 4, 2013
Publication Date
January 1, 1984
Subject Category
Aerodynamics
Report/Patent Number
NAS 1.15:85751
NASA-TM-85751
Accession Number
84N20485
Funding Number(s)
PROJECT: RTOP 505-33-43-09
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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