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Adaptive explicit and implicit finite element methods for transient thermal analysisThe application of adaptive finite element methods to the solution of transient heat conduction problems in two dimensions is investigated. The computational domain is represented by an unstructured assembly of linear triangular elements and the mesh adaptation is achieved by local regeneration of the grid, using an error estimation procedure coupled to an automatic triangular mesh generator. Two alternative solution procedures are considered. In the first procedure, the solution is advanced by explicit timestepping, with domain decomposition being used to improve the computational efficiency of the method. In the second procedure, an algorithm for constructing continuous lines which pass only once through each node of the mesh is employed. The lines are used as the basis of a fully implicit method, in which the equation system is solved by line relaxation using a block tridiagonal equation solver. The numerical performance of the two procedures is compared for the analysis of a problem involving a moving heat source applied to a convectively cooled cylindrical leading edge.
Document ID
19920073933
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Probert, E. J.
(NASA Headquarters Washington, DC United States)
Hassan, O.
(NASA Headquarters Washington, DC United States)
Morgan, K.
(Swansea, University College, United Kingdom)
Peraire, J.
(Imperial College of Science, Technology, and Medicine London, United Kingdom)
Date Acquired
August 15, 2013
Publication Date
September 15, 1992
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 35
Issue: 4 Se
ISSN: 0029-5981
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
92A56557
Funding Number(s)
CONTRACT_GRANT: NAGW-1809
Distribution Limits
Public
Copyright
Other

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