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An eigenvalue method for solving transient heat conduction problemsThe eigenvalue method, which has been used by researchers in structure mechanics, is applied to problems in heat conduction. Its formulation is decribed in terms of an examination of transient heat conduction in a square slab. Taking advantage of the availability of the exact solution, we compare the accuracy and other numerical properties of the eigenvalue method with those of existing numerical schemes. The comparsion shows that, overall, the eigenvalue method appears to be fairly attractive. Furthermore, only a few dominant eigenvalues and their corresponding eigenvectors need to be computed and retained to yield reasonably high accuracy. Greater savings are attained in the computation time for a transient problem with long time duration and a large computational domain.
Document ID
19840037485
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Shih, T. M.
(Maryland, University College Park, MD, United States)
Skladany, J. T.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 12, 2013
Publication Date
December 1, 1983
Publication Information
Publication: Numerical Heat Transfer
Volume: 6
ISSN: 0149-5720
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
84A20272
Distribution Limits
Public
Copyright
Other

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