Large time steps in the explicit formulation of transient heat transfer

作者

Li, Eric (1, 2, 3); He, Z.C. (2); Tang, Qian (4, 5); 更多内容

期刊:International Journal of Heat and Mass Transfer ISSN:00179310 , 年:2017 . 卷:108 页码:2040-2052

语种: English

原文链接:http://doi.org/10.1016/j.ijheatmasstransfer.2017.01.065

摘要

In this paper, a generalized formulation of stiffness and mass using modified integration rules (MIR) with flexible integration points is developed to improve the stability of transient heat transfer problems. With adjustment of integration points in the stiffness, the softening or stiffening properties of discretized model for heat transfer problems can be altered. In addition, it is found that the integration points in the mass have a great effect on the critical time step for the explicit formulation of transient heat transfer problems. With a proper selection of integration points in the mass, a much larger time step can be applied in the analysis of transient heat transfer problems. Furthermore, it is observed that the final steady solutions of transient heat transfer problems are identical regardless of locations of integration points in the mass model. Numerical experiments including 2D heat transfer problems with different boundary conditions including heat conduction, heat convection and radiation are studied to verify the properties of flexible integration points in the stiffness and mass. © 2017 Elsevier Ltd

附加关键词:
Convergence of numerical methods - Heat conduction - Heat convection - Integration - Stiffness

作者信息

通讯作者:
     He, Z.C.(hezhicheng815@hnu.edu.cn)
作者机构:
     [1] Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong; NT, Hong Kong
     [2] State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha; 410082, China
     [3] State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian; 116024, China
     [4] Department of Mechanical Engineering, Hunan Institute of Engineering, Xiangtan; 411101, China
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