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基于Monte-Carlo随机有限元方法的随机边界条件下自然对流换热不确定性研究

何贻海 姜昌伟 姚鸣 张炳晴 朱炎鹤 张钟庆

何贻海, 姜昌伟, 姚鸣, 张炳晴, 朱炎鹤, 张钟庆. 基于Monte-Carlo随机有限元方法的随机边界条件下自然对流换热不确定性研究[J]. 应用数学和力学, 2017, 38(5): 581-593. doi: 10.21656/1000-0887.370224
引用本文: 何贻海, 姜昌伟, 姚鸣, 张炳晴, 朱炎鹤, 张钟庆. 基于Monte-Carlo随机有限元方法的随机边界条件下自然对流换热不确定性研究[J]. 应用数学和力学, 2017, 38(5): 581-593. doi: 10.21656/1000-0887.370224
HE Yi-hai, JIANG Chang-wei, YAO Ming, ZHANG Bing-qing, ZHU Yan-he, ZHANG Zhong-qing. Uncertainty Research of Natural Convection Heat Transfer Under Stochastic Boundary Condition Based on the Monte-Carlo Stochastic Finite Element Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 581-593. doi: 10.21656/1000-0887.370224
Citation: HE Yi-hai, JIANG Chang-wei, YAO Ming, ZHANG Bing-qing, ZHU Yan-he, ZHANG Zhong-qing. Uncertainty Research of Natural Convection Heat Transfer Under Stochastic Boundary Condition Based on the Monte-Carlo Stochastic Finite Element Method[J]. Applied Mathematics and Mechanics, 2017, 38(5): 581-593. doi: 10.21656/1000-0887.370224

基于Monte-Carlo随机有限元方法的随机边界条件下自然对流换热不确定性研究

doi: 10.21656/1000-0887.370224
基金项目: 国家自然科学基金(11572056); 湖南省研究生科研创新项目(CX2016B409);湖南省教育厅重点项目(15A006)
详细信息
    作者简介:

    何贻海(1991—),男,硕士生(E-mail: 645259125@qq.com);姜昌伟(1973—),男,教授,博士,硕士生导师(通讯作者. E-mail: cw_jiang@163.com).

  • 中图分类号: TK124

Uncertainty Research of Natural Convection Heat Transfer Under Stochastic Boundary Condition Based on the Monte-Carlo Stochastic Finite Element Method

Funds: The National Natural Science Foundation of China(11572056)
  • 摘要: 为分析边界条件不确定性对方腔内自然对流换热的影响,发展了一种求解随机边界条件下自然对流换热不确定性传播的Monte-Carlo随机有限元方法.通过对输入参数场随机边界条件进行Karhunen-Loeve展开及基于Latin(拉丁)抽样法生成边界条件随机样本,数值计算了不同边界条件随机样本下方腔内自然对流换热流场与温度场,并用采样统计方法计算了随机输出场的平均值与标准偏差.根据计算框架编写了求解随机边界条件下方腔内自然对流换热不确定性的MATLAB随机有限元程序,分析了随机边界条件相关长度与方差对自然对流不确定性的影响.结果表明:平均温度场及流场与确定性温度场及流场分布基本相同;随机边界条件下Nu数概率分布基本呈现正态分布,平均Nu数随着相关长度和方差增加而增大;方差对自然对流换热的影响强于相关长度的影响.
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出版历程
  • 收稿日期:  2016-07-21
  • 修回日期:  2016-08-13
  • 刊出日期:  2017-05-15

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