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Temporal and spatial inconsistencies of time-split finite-difference schemesThe properties of an implicit time-split algorithm, which utilizes locally one dimensional spatial steps, are examined using the two-dimensional heat conduction equation as the test problem. Both temporal and spatial inconsistencies inherent in the scheme are identified. A consistent, implicit splitting approach is developed. The relationship between this method and other time-split implicit schemes is explained, and stability problems encountered with the method in three dimensions are discussed.
Document ID
19810014221
Acquisition Source
Legacy CDMS
Document Type
Technical Publication (TP)
Authors
Dwoyer, D. L. (NASA Langley Research Center Hampton, VA, United States)
Thames, F. C. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 4, 2013
Publication Date
April 1, 1981
Subject Category
Numerical Analysis
Report/Patent Number
L-13941
NASA-TP-1790
Accession Number
81N22754
Funding Number(s)
PROJECT: RTOP 505-31-33-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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