| 基于卷积型变分原理的半解析法及其在热传导中的应用(英) |
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| 引用本文： | 王鹏林,彭建设,张敬宇.基于卷积型变分原理的半解析法及其在热传导中的应用(英)[J].天津理工大学学报,1998(Z1). |
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| 作者姓名： | 王鹏林 彭建设 张敬宇 |
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| 作者单位： | 天津理工学院!天津，300380(王鹏林，张敬宇)，四川师范学院!南充，637002(彭建设) |
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| 摘 要： | 本文基于卷积型变分原理提出了瞬态热传导问题的半解析法．该方法在空间域内作有限元离散，在时间上用级数表示．既吸取了现有求解瞬态问题方法的优点，又克服了其缺陷．一维和二维算例结果表明．该方法是求解热传导问题的一种新型、有效的方法．
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| 关 键 词： | 瞬态热传导 半解析法 变分原理 |
Semianalytic Approach Based on Convolution-Type Variational Principle and Its Applications to Heat Transfer |
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| WANG Penglin, PENG J. S., ZHANG J. Y.Semianalytic Approach Based on Convolution-Type Variational Principle and Its Applications to Heat Transfer[J].Journal of Tianjin University of Technology,1998(Z1). |
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| Authors: | WANG Penglin PENG J S ZHANG J Y |
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| Abstract: | In this article a new method of solving the transient heat transfer problems is developed that is based on convolution-type variational principle, where finite-element discretization in the space domain and series representation in the time domain are considered. This approach can overcome the shortcomings of existing methods and combine the advantages of those methods for solving transient problems. The examples show that the new method is one of the most effective method of obtaining solutions for 1D and 2D transient heat transfer problems. |
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| Keywords: | transient heat transfer semi-analytical method variational principle |
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