Time-step constraints for finite element analysis of two-dimensional transient heat diffusion

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Title: Time-step constraints for finite element analysis of two-dimensional transient heat diffusion
Authors: Cui, W
Gawecka, KA
Taborda, D
Potts, DM
Zdravkovic, L
Item 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.
Issue Date: 1-Apr-2019
Date of Acceptance: 13-Dec-2018
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
Sponsor/Funder: Geotechnical Consulting Group
Geotechnical Consulting Group
Engineering and Physical Sciences Research Council
Funder's Grant Number: GCG Chair
Keywords: 0905 Civil Engineering
0914 Resources Engineering And Extractive Metallurgy
0915 Interdisciplinary Engineering
Geological & Geomatics Engineering
Publication Status: Published
Embargo Date: 2019-12-18
Online Publication Date: 2018-12-18
Appears in Collections:Faculty of Engineering
Civil and Environmental Engineering

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