建筑围护结构传热系数的反演研究

Inverse Problems Study on Thermal Conductivity of Building Envelope

建筑围护结构传热系数的反演研究是典型的热传导反问题研究。针对围护结构传热特征,将其简化为一维热传导过程来处理。通过采用有限控制体积法(FCV)求解一维热传导模型为基础,采用Bayesian推理已知先验分布与条件概率分布求后验概率分布,而后验概率分布便是反问题的解。采用马尔科夫链蒙特卡罗(Markov Chain Monte Carlo,MCMC)算法,通过构造Markov Chian对传热系数进行反演估计。

Inverse problem study on thermal conductivity of building envelope is a typical inverse heat conduction issue. In view of the heat transfer characteristics of building envelope and it’s simplified as one-dimensional heat conduction process. Using prior distribution of bayesian inference and the conditional probability distribution for poster probability distribution by solving one-dimensional heat conduction model about the Finite Control Volume method （FCV）, then poster probability distribution is the solution of the inverse problem. Estimate the heat transfer inversion by constructing Markov Chian with the Markov Chain Monte Carlo algorithm. The result of example calculation shows that the MCMC-Bayes method to estimate thermal conductivity of building envelope is feasible.