瞬态热传导的奇异边界法及其MATLAB实现

李煜冬; 王发杰; 陈文

doi:10.21656/1000-0887.390225

瞬态热传导的奇异边界法及其MATLAB实现

doi: 10.21656/1000-0887.390225

¹河海大学力学与材料学院, 南京 211100;²电动汽车智能化动力集成技术国家地方联合工程研究中心(青岛大学), 山东青岛 266071;³青岛大学机电工程学院, 山东青岛 266071

基金项目: 国家自然科学基金（11802151；11572111；11372097）

详细信息

作者简介:
李煜冬（1997—），男，硕士(E-mail: 863949642@qq.com);王发杰（1986—），男，副教授，博士(E-mail: wfj1218@126.com)；陈文（1967—2018），男，教授，博士，博士生导师(通讯作者. E-mail: chenwen@hhu.edu.cn).

中图分类号: O302
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- 文章访问数: 1869
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- 被引次数: 0
出版历程
- 收稿日期: 2018-08-27
- 修回日期: 2018-09-16
- 刊出日期: 2019-03-01

MATLAB Implementation of a Singular Boundary Method for Transient Heat Conduction

¹College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China;²National Engineering Research Center for Intelligent Electrical Vehicle Power System(Qingdao University), Qingdao, Shandong 266071, P.R.China;³School of Electromechanic Engineering, Qingdao University, Qingdao, Shandong 266071, P.R.China

Funds: The National Natural Science Foundation of China（11802151;11572111;11372097）

摘要

摘要: 基于动力学问题时间依赖基本解的奇异边界法是一种无网格边界配点法.该方法引入源点强度因子的概念从而避免了基本解的源点奇异性，具有数学简单、编程容易、精度高等优点.将该方法用于瞬态热传导问题的数值模拟，运用MATLAB实现该问题的数值研究，并创建相应的MATLAB工具箱.针对二维和三维瞬态热传导问题，进行了基于反插值技术和经验公式的奇异边界法MATLAB算例实现.针对支撑圆坯低温瞬态温度场的模拟结果表明，瞬态热传导奇异边界法的MATLAB工具箱具有简单、方便、精确可靠的优点.研究成果有助于发展瞬态热传导的奇异边界法，并为瞬态热传导问题的数值分析和仿真提供了一种简单高效的模拟工具.
- 奇异边界法 /
- 反插值技术 /
- 经验公式 /
- 瞬态热传导 /
- MATLAB
Abstract: The singular boundary method (SBM) based on the timedependent fundamental solutions to dynamic problems is a meshless boundary collocation technique with the merits of easy implementation and mathematical simplicity. This method effectively avoids the singularity of source points through introduction of the origin intensity factor. The SBM was implemented to simulate the transient heat conduction problem via the MATLAB programming, and the MATLAB toolbox was created to provide a simple and efficient tool for the numerical analysis of transient heat conduction problems and actual operating problems. In numerical experiments, 2D and 3D problems were investigated in regular geometrical regions. The method was applied to the solution of the temperature field in the low temperature transient state. The results indicate that the MATLAB toolbox for the SBM with the inverse interpolation technique and the empirical formula is simple, accurate and efficient.
- singular boundary method /
- inverse interpolation technique /
- empirical formula /
- transient heat conduction /
- MATLAB

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参考文献(14)

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瞬态热传导的奇异边界法及其MATLAB实现

doi: 10.21656/1000-0887.390225

作者简介:
李煜冬（1997—），男，硕士(E-mail: 863949642@qq.com);王发杰（1986—），男，副教授，博士(E-mail: wfj1218@126.com)；陈文（1967—2018），男，教授，博士，博士生导师(通讯作者. E-mail: chenwen@hhu.edu.cn).

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MATLAB Implementation of a Singular Boundary Method for Transient Heat Conduction

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留言板

瞬态热传导的奇异边界法及其MATLAB实现

doi: 10.21656/1000-0887.390225

作者简介: 李煜冬（1997—），男，硕士(E-mail: 863949642@qq.com);王发杰（1986—），男，副教授，博士(E-mail: wfj1218@126.com)；陈文（1967—2018），男，教授，博士，博士生导师(通讯作者. E-mail: chenwen@hhu.edu.cn).

计量

出版历程

MATLAB Implementation of a Singular Boundary Method for Transient Heat Conduction

计量

出版历程

目录

作者简介:
李煜冬（1997—），男，硕士(E-mail: 863949642@qq.com);王发杰（1986—），男，副教授，博士(E-mail: wfj1218@126.com)；陈文（1967—2018），男，教授，博士，博士生导师(通讯作者. E-mail: chenwen@hhu.edu.cn).