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

被引：6

作者：

Cui, Wenjie ^{[1
]}

Gawecka, Klementyna A. ^{[1
]}

Taborda, David M. G. ^{[1
]}

Potts, David M. ^{[1
]}

Zdravkovic, Lidija ^{[1
]}

机构：

[1] Imperial Coll London, Dept Civil & Environm Engn, London SW7 2AZ, England

来源：

COMPUTERS AND GEOTECHNICS | 2019年 / 108卷

基金：

英国工程与自然科学研究理事会;

关键词：

Finite element method; Time-step size; Two-dimensional heat diffusion; Porous medium; DISCRETE MAXIMUM PRINCIPLE; RADIATION; SIZE;

D O I：

10.1016/j.compgeo.2018.12.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：1 / 6

页数：6

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