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SPECTRAL METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS IN SIMPLE GEOMETRIES.

Publication ,  Journal Article
McMurray, JT; Shaughnessy, EJ
Published in: Asme Pap
January 1, 1979

Solutions to the unsteady heat conduction problem are obtained using a numerical procedure based on a Chebyshev series representation for the spatial dependence of the temperature field. This series contains time dependent coefficients which are selected so that the spectral series represents a good approximation to the evolving temperature field. The fundamental equations describing the spectral coefficients are derived using the Chebyshev-Tau matrix method. These equations are stepped forward in time using the Crank-Nicolson time differencing scheme. The technique is illustrated by applying it to several classical problems of unsteady conduction in simple geometries.

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Published In

Asme Pap

ISSN

0402-1215

Publication Date

January 1, 1979

Issue

79 -HT-62
 

Citation

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McMurray, J. T., & Shaughnessy, E. J. (1979). SPECTRAL METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS IN SIMPLE GEOMETRIES. Asme Pap, (79-HT-62).
McMurray, J. T., and E. J. Shaughnessy. “SPECTRAL METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS IN SIMPLE GEOMETRIES.Asme Pap, no. 79-HT-62 (January 1, 1979).
McMurray JT, Shaughnessy EJ. SPECTRAL METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS IN SIMPLE GEOMETRIES. Asme Pap. 1979 Jan 1;(79-HT-62).
McMurray, J. T., and E. J. Shaughnessy. “SPECTRAL METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS IN SIMPLE GEOMETRIES.Asme Pap, no. 79-HT-62, Jan. 1979.
McMurray JT, Shaughnessy EJ. SPECTRAL METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS IN SIMPLE GEOMETRIES. Asme Pap. 1979 Jan 1;(79-HT-62).

Published In

Asme Pap

ISSN

0402-1215

Publication Date

January 1, 1979

Issue

79 -HT-62