多维传热传递函数方法及模型不稳定性分析
Transfer function method of multi-dimension heat transfer and instability analysis
摘要：
介绍了基于状态模型的多维传热的传递函数方法，采用该方法计算了通过墙角部位墙面的热流，分析了该方法的数值不稳定性。结果显示，在网格划分较细、时间步长较小、围护结构热惰性较大的情况下，传递函数特征式的根可能超出一定的范围，出现数值不稳定的问题，从而使其应用受到一定的限制。
关键词：多维传热,传递函数,建筑热模拟,围护结构,数值不稳定性
Abstract：
Presents the transfer function method based on multi-dimension state model. Simulates the heat transfer through the corner of the wall. Analyses the numerical instability of the method. The results show that the root of the characteristic equation may be out of the range and simulation results have not convergence when its application to fine mesh of envelope spatial discretization, short time step or high thermal inertia envelope, which limits its application to a certain extent.
Keywords:multi-dimension heat transfer, transfer function, building thermal simulation, building envelope, numerical instability