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Conference papers
A diffusion-split method to deal with thermal shocks using standard linear tetrahedral finite elements
Abstract : The thermal analysis using linear standard tetrahedral finite elements may be affected by spurious local extrema in the regions affected by thermal shocks, in such a severe way to directly discourage the use of these elements. The present work proposes a slight modification to the discrete heat equation in order to obtain a system matrix in M-matrix form, which assures an oscillation-free solution. The performance of this method is evaluated by means of test case with analytical solution, as well as an industrial application, for which a well-behaved numerical solution is available.
Keywords :
Diffusion
Tetrahedral Finite Elements
Cited literature [7 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-00531257
Contributor : Magalie Prudon <>
Submitted on : Friday, March 11, 2011 - 9:36:21 AM
Last modification on : Thursday, September 24, 2020 - 5:22:54 PM
Long-term archiving on: : Saturday, December 3, 2016 - 1:22:27 AM
Contributor : Magalie Prudon <>
Submitted on : Friday, March 11, 2011 - 9:36:21 AM
Last modification on : Thursday, September 24, 2020 - 5:22:54 PM
Long-term archiving on: : Saturday, December 3, 2016 - 1:22:27 AM
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