华中科技大学学报（自然科学版）Issue(11)：115-120,6.DOI:10.13245/j.hust.151122
加权最小二乘无网格法的随机稳态温度场分析
Meshless weighted least square method for thermal analysis of stochastic steady-state temperature field
摘要
Abstract
A meshless weighted least square (MWLS) method was investigated for the analysis of sto‐chastic steady‐state temperature field .Based on the moving least‐squares (MLS) approximation ,the penalty function method was used to satisfy the boundary conditions ,and the MWLS equation was de‐rived in detail by variation principle for solving the steady‐state temperature field problems .Compared with Galerkin based meshless method ,the proposed method has a small amount of calculation without integration ,which is easy for process and some other advantages .By considering the randomness of physical parameters and boundary condition ,the MWLS of stochastic temperature field with random variables w as derived ,and the statistics feature of response of stochastic steady‐state temperature field was obtained by Neumann expansion Monte Carlo method .Numerical examples comparison between the results of the proposed method and the finite element method simulation was presented to illus‐trate the effectiveness and validity of proposed method .关键词
无网格法/稳态温度场/随机参数/Neumann展开蒙特卡罗法/加权最小二乘法Key words
meshless method/steady-state temperature field/stochastic parameters/Neumann expan-sion Monte Carlo method/weighted least-square method分类
数理科学引用本文复制引用
云永琥,陈建军,刘国梁,曹鸿钧..加权最小二乘无网格法的随机稳态温度场分析[J].华中科技大学学报（自然科学版）,2015,(11):115-120,6.基金项目
国家自然科学基金资助项目（51175398）． （）
