| 引用本文: | 陈闽慷,杜涛,苏雪,等.二维非线性正交各向异性材料的瞬态热传导反问题数值方法.[J].国防科技大学学报,2017,39(1):194-198.[点击复制] |
| CHEN Minkang,DU Tao,SU Xue,et al.A numerical method for two-dimensional nonlinear transient inverse heat conduction problems for orthotropic material[J].Journal of National University of Defense Technology,2017,39(1):194-198[点击复制] |
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| 二维非线性正交各向异性材料的瞬态热传导反问题数值方法 |
| 陈闽慷1, 杜涛2, 苏雪3, 陈伟芳3 |
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(1.国防科技大学 航天科学与工程学院， 湖南 长沙 410073;2.北京宇航系统工程研究所, 北京 100076;3.浙江大学 航空航天学院， 浙江 杭州310027)
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| 摘要: |
| 针对正交各向异性材料的二维非线性热传导反问题，采用顺序函数法进行表面热流辨识问题的研究。在求解反问题时，采用有限体积法、牛顿-拉夫逊法并引入未来时间步的概念。在每个时间步内，将待辨识热流视为非线性方程组的未知量，通过一个迭代过程进行求解。算例的研究表明，热流辨识结果与真实热流相近，从而证明了本方法在辨识二维非线性热传导反问题时是准确、稳定、有效的。 |
| 关键词: 二维 非线性瞬态热传导 热流辨识 顺序函数法 |
| DOI：10.11887/j.cn.201701030 |
| 投稿日期：2016-03-04 |
| 基金项目:国家自然科学基金资助项目(51575487)；国家973计划资助项目(2014CB340201) |
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| A numerical method for two-dimensional nonlinear transient inverse heat conduction problems for orthotropic material |
| CHEN Minkang1, DU Tao2, SU Xue3, CHEN Weifang3 |
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(1. College of Aerospace Science and Engineering， National University of Defense Technology， Changsha 410073， China;2. Beijing Institute of Astronautics System Engineering, Beijing 100076, China;3. School of Aeronautics and Astronautics， Zhejiang University， Hangzhou 310027， China)
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| Abstract: |
| A sequential functional specification method was adopted to identify the surface heat flux in a two-dimensional inverse heat conduction problem for an orthotropic solid. The inverse problems were solved with the combination of the finite control volume method, the Newton-Raphson method, and the concept of future time step.The undetermined heat flux at each time step was denoted as one of the unknown variables in a set of nonlinear equations, which was solved by an iterative process. Results show that the estimated values agree well with the exact values in the examples, which proves that this method is an accurate, stable, and efficient one, thus it can be used to determine the surface heat flux in two-dimensional nonlinear inverse heat conduction problems. |
| Keywords: two-dimensional nonlinear transient heat conduction heat flux identification sequential functional specification method |
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