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Research Article

Fast simulation of dynamic heat transfer through building envelope via model order reduction

Qiongxiang Kong1( ), Xiao He1, Yaolin Jiang2
School of Human Settlement & Civil Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049,China
School of Mathematics & Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
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Abstract

In this paper, a fast and accurate numerical simulation method on dynamic heat transfer through building envelopes has been developed by using the Krylov subspace and the balanced truncation model order reduction (MOR) algorithms. The computational accuracy and efficiency of the two MOR algorithms are discussed through the numerical simulation on a roof heat transfer in a one-day period, and then the two verified algorithms are applied to simulate the heat transfer through a multilayer wall for a week and the two-dimensional heat transfer through an L-shape thermal bridge. The results show that the relative errors of the two algorithms to the harmonic response method or to the direct solution method are all less than 1%, and the solving time with the two MOR algorithms decreases greatly. In addition, the Krylov subspace MOR algorithm has a faster solving speed and is more suitable for solving the heat transfer through a building envelope than the balanced truncation MOR algorithm.

Keywords

building envelopedynamic heat transfermodel order reduction (MOR)Krylov subspacebalanced truncation

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Building Simulation
Volume 10 Issue 3,
June 2017
Pages 419-429
DOI: 10.1007/s12273-016-0327-y
Cite this article:
Kong Q, He X, Jiang Y. Fast simulation of dynamic heat transfer through building envelope via model order reduction. Building Simulation, 2017, 10(3): 419-429. https://doi.org/10.1007/s12273-016-0327-y

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Received: 20 January 2016
Revised: 14 September 2016
Accepted: 21 September 2016
Published: 25 October 2016
© Tsinghua University Press and Springer-Verlag Berlin Heidelberg 2016
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