期刊:INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER ISSN:0017-9310 , 年:2017 . 卷:108 页码:2040-2052
语种:
English
原文链接:http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.01.065
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- 摘要
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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. (C) 2017 Elsevier Ltd. All rights reserved.
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关键词
Numerical integration; Flexible integration points; Stability; Dynamic heat transfer; Critical time step
- 作者信息
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通讯作者:
He, ZC , Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.
作者机构:
[1]
[
Li, Eric ]
Chinese Univ Hong Kong, Dept Mech & Automat Engn, Shatin, Hong Kong, Peoples R China.
[2]
[
Li, Eric; He, Z. C. ]
Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha 410082, Hunan, Peoples R China.
[3]
[
Li, Eric; Zhang, G. Y. ]
Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.
[4]
[
Tang, Qian ]
Hunan Inst Engn, Dept Mech Engn, Xiangtan 411101, Peoples R China.
[5]
[
Tang, Qian ]
Hunan Prov Cooperat Innovat Ctr Wind Power Equipm, Xiangtan 411101, Peoples R China.
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作者邮箱:
hezhicheng815@hnu.edu.cn