Time-step constraints for finite element analysis of two-dimensional transient heat diffusion
File(s)
Accepted version
Author(s)
Cui, Wenjie
Gawecka, Klementyna A
Taborda, David
Potts, David M
Zdravkovic, Lidija
Type
Journal Article
Abstract
In a FE analysis of transient heat transfer, a lower limit of the time-step size exists below which numerical oscillations of temperatures may occur. Although time-step constraints for simulating 1D heat diffusion have been well established in the literature, the conclusions cannot be directly applied to 2D cases. In this paper, both analytical and computational studies are carried out to obtain the time-step constraints for 2D linear and quadratic elements. It is noted that in the simulation of 2D heat diffusion employing quadratic elements is not always beneficial. Recommendations are provided on selecting the numerical scheme to minimise numerical oscillations.
Date Issued
2019-04-01
Date Acceptance
2018-12-13
Citation
Computers and Geotechnics, 2019, 108, pp.1-6
ISSN
0266-352X
Publisher
Elsevier
Start Page
1
End Page
6
Journal / Book Title
Computers and Geotechnics
Volume
108
Copyright Statement
© 2018 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Geotechnical Consulting Group
Geotechnical Consulting Group
Engineering and Physical Sciences Research Council
Grant Number
GCG Chair
CISM_P60087
1386304
Subjects
0905 Civil Engineering
0914 Resources Engineering And Extractive Metallurgy
0915 Interdisciplinary Engineering
Geological & Geomatics Engineering
Publication Status
Published
Date Publish Online
2018-12-18