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共轭梯度法求解稳态湿热耦合多宗量反问题 被引量：1

Study of Inverse Coupled Heat and Moisture Transfer Problem with Multi-variables in Steady State Via Conjugate Gradient Method
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摘要 采用等参单元在空间上进行离散,建立了便于正演和反演的有限元模型,可直接求导进行敏度分析.对于反问题,采用最小二乘法建立目标函数,应用共轭梯度技术进行求解,对湿热物性参数和边界条件进行了多宗量联合反演,给出了相关的数值验证.数值验证取得了令人满意的结果,并对信息测量误差影响作了初步探讨. Conjugate gradient method is employed to solve inverse coupled heat and moisture transfer problems with multi-variables in the steady state. Finite element method is used to formulate the solution of direct problems, facilitating to the sensitivity analysis. In solving the inverse problems, a least-squares based objective function is minimized by conjugate gradient method. A number of numerical examples, including combined identifications of thermal and moisture parameters and boundary conditions, are given to validate the proposed algorithm with satisfactory results. Some investigations are conducted to study the noise of effect on the results experiment data.
作者 薛齐文 魏伟 杜秀云
机构地区 大连交通大学土木与安全工程学院 工业装备结构分析国家重点实验室 辽宁师范大学物理与电子技术学院
出处 《大连交通大学学报》 CAS 2009年第1期5-8,共4页 Journal of Dalian Jiaotong University
基金 国家自然科学基金资助项目(10802015) 辽宁省重点实验室基金资助项目(2008S036) 工业装备结构分析重点实验室开放基金资助项目(GZ0811)
关键词 湿热耦合 多宗量 共轭梯度 反问题 有限元PACC 7215E 0340 coupled heat and moisture transfer multi-variables conjugate gradient method inverse problem finite element.
分类号 TU111 [建筑科学—建筑理论]
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参考文献12

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共引文献19

同被引文献18

  • 1金晶,苏勇.一种改进的自适应遗传算法[J].计算机工程与应用,2005,41(18):64-69. 被引量：82
  • 2沙勇,林芬芬,叶李艺,林凤玲.吸收过程自然对流非稳态数值模拟[J].化学工程,2006,34(12):5-8. 被引量：3
  • 3Colaco M L,Dulikravich G S.Solidification of doublediffusive flows using thermo-magneto-hydrodynamics and optimization[J].Materials and Manufacturing Processes,2007,22 (5-6):594 -606.
  • 4Roy S,Tanmay B.Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall (s)[J].International Journal of Engineering Science,2005,43(8-9):668-680.
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  • 7Zhao F Y,Liu D,Tang G F.Numerical determination of boundary heat fluxes in an enclosure dynamically with natural convection through Fletcher-Reeves gradient method[J].Computers & Fluids,2009,38 (4):797-809.
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  • 9Pourgholi R,Rostamian M.A numerical technique for solving IHCPs using Tikhonov regularization method[J].Applied Mathematical Modeling,2010,34 (8):2102-2110.
  • 10Wei T,Li Y S.An inverse boundary problem for onedimensional heat equation with a multilayer domain[J].Engineering Analysis with Boundary Element,2009,33(2):225-232.

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大连交通大学学报
2009年 第1期

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