墙体热质耦合传递模型的块追赶法求解

Application of TDMA to coupled transfer of heat moisture and air in building walls

建筑墙体内部热质传递等效耦合扩散模型是一组系数变化剧烈的强非线性耦合方程组,即使是一维,也还无法给出其分析解,只能利用计算机进行数值求解.采用块追赶法(TDMA),求解了含湿墙体内部热质传递等效扩散模型的矩阵方程,得到了墙体各部位的温度、湿容量,并给出了它们沿墙体厚度的分布规律.应用结果表明,数值模拟温度与热流量与现场实测结果相比误差小于2%.

Equation systems are a series of non-linear differential equations,they change so acute that people can not give analytic solution even if it is one dimension.In this paper,we aim at finding the solution to the equation system through TDMA.Through this way,the temperature and moisture distribution in the building is given.The error margin between the simulation of the temperature and heat discharges to measure with the spot actually is no more than 2%.