基于广义有限差分法的多孔介质墙体热湿耦合迁移模型求解  

Numerical solution of the coupled heat and moisture transfer model for porous media wall based on generalized finite difference method

作　　者：郭兴国[1,2,3] 罗银辉 刘向伟 GUO Xingguo;LUO Yinhui;LIU Xiangwei(School of Infrastructure Engineering,Nanchang University,Nanchang 330031,China;Key Laboratory for Ultra-Low Energy Buildings of Jiangxi Province,Nanchang 330031,China;Near Zero Energy Building Engineering Laboratory of Jiangxi Province,Nanchang 330031,China)

机构地区：[1]南昌大学工程建设学院,江西南昌330031 [2]江西省超低能耗建筑重点实验室,江西南昌330031 [3]江西省近零能耗建筑工程实验室,江西南昌330031

出　　处：《南昌大学学报（工科版）》2023年第3期242-247,共6页Journal of Nanchang University(Engineering & Technology)

基　　金：国家自然科学基金项目(51708271)。

摘　　要：针对多孔介质墙体的热湿耦合迁移控制方程的求解问题,提出了一种基于广义有限差分法的新型无网格区域法数值模型。该模型在空间域上采用广义有限差分法离散,在时间域上采用隐式欧拉法离散,得到递归形式的线性方程组并用Matlab软件进行程序编写和运算。将计算结果与采用解析解、有限差分法、TDMA法和实验的结果进行比较,验证解法的准确性。分析了区域总点数、子区域选点数以及时间步长对数值计算精度的影响,结果表明该数值方法在求解热湿耦合迁移微分方程上具有良好的稳定性。A new meshless region method based on generalized finite difference method was proposed to solve the governing equa-tion of coupled heat and moisture transfer within of porous media wall.The model was discretized by the generalized finite difference method in the space domain and by the implicit Euler method in the time domain.The recursive linear equations were obtained and pro-grammed and calculated by Matlab software.The calculation results were compared with the analytical solution,finite difference method,TDMA method and experimental results to verify the accuracy of the solution.The effects of the total number of points in the region,the selected number of points in the sub-region and the time step on the numerical simulation accuracy were analyzed.The results showed that the numerical method has good stability in solving the coupled heat and moisture transfer governing equations.

关 键 词：热湿耦合迁移 广义有限差分法 无网格法 

分 类 号：TU111.19[建筑科学—建筑理论]