Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 7
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Original Articles

SPECTRAL METHODS WITH POSTPROCESSING FOR NUMERICAL HYPERBOLIC HEAT TRANSFER

Pages 717-730 | Published online: 02 Feb 2011
 

Abstract

Under the governing equations of hyperbolic heat transfer, energy propagates through a medium as a wave with sharp discontinuities at the wave front. The use of spectral methods to solve such problems numerically results in a solution in which strong numerical oscillations are present due to the Gibbs-Wilbraham phenomenon. It is demonstrated that a spectrally accurate solution can still be obtained via a postprocessing technique.

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