墙体内热湿耦合过程的时域递归展开算法
A time domain recursive algorithm for solving the model of coupled heat and moisture transfer in building wall
张景欣 1郭兴国 1陈友明 2陈国杰3
作者信息
- 1. 南昌大学 建筑工程学院,南昌 330031
- 2. 湖南大学 土木工程学院,长沙 410082
- 3. 湖南大学 土木工程学院,长沙 410082; 南华大学 城市建设学院,湖南 衡阳 421001
- 折叠
摘要
利用时域递归展开算法对墙体内热湿耦合传递方程进行求解。以木板为例,应用该算法进行了热湿耦合传递的分析计算,在时间域和空间域上分别运用递归展开法和控制容积法进行离散,从而得到递归形式的线性方程组,运用 MATLAB 软件对这一过程进行求解。计算结果与有限差分算法、解析解计算结果以及实验数据吻合良好,表明该算法能够用于求解多孔介质热湿耦合传递模型。时间步长的改变对计算结果影响较小,可通过增加时间步长方法来减少工作量。
Abstract
A time domain recursive algorithm was used to solve the model of coupled heat and moisture transfer equation through building wall.The calculation was carried out by using algorithm in wood.The recursive algorithm and the finite volume algorithm were separately used in the time and space domains respectively to obtain the linear equations of recursive form.The results were compared with that of finite difference algorithm and showed that the result of algorithm agreed with that of the finite difference algorithm,analytical solution and experimental data.The algorithm can be used to solve coupled heat and moisture transfer model in porous media.The change of the time step has slight effects on results and increasing time step would reduce the calculating time .
关键词
热湿耦合传递/时域分析/时间步长Key words
coupled heat and moisture transfer/time domain analysis/the sizes of time step引用本文复制引用
基金项目
国家自然科学基金(51208247)
国家自然科学基金(51408294)
国家自然科学基金(51078127)
出版年
2015