Fast Simulation Methods for Dynamic Heat Transfer through Building Envelope Based on Model-order-Reduction》.pdf
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Fast Simulation Methods for Dynamic Heat Transfer through Building Envelope Based on Model-order-Reduction》.pdf
Available online at
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Procedia Engineering 121 ( 2015 ) 1764 – 1771
9th International Symposium on Heating, Ventilation and Air Conditioning (ISHVAC) and the 3rd
International Conference on Building Energy and Environment (COBEE)
Fast Simulation Methods for Dynamic Heat Transfer through
Building Envelope Based on Model-Order-Reduction
a a, b
Xiao He , Qiongxiang Kong *, and Zhihua Xiao
aSchool of Human Settlement and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, China
bSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, China
Abstract
In this paper, fast numerical simulation methods for dynamic heat transfer of building envelope have been developed by using
Krylov subspace and balanced truncation model order reduction (MOR) methods. A numerical example about the transient heat
transfer of the building envelope is given. The decrement factor of the roof and the time lag of the peaks or troughs calculated by
the MOR methods are quite consistent with the results from the harmonic response method, the maximum absolute errors of the
o 2
temperature and the heat flux on the interior surface of the roof are less than 0.2 C and 1.5W/m , respectively. All the simulation
results prove that the MOR methods are reliable in solving heat transfer problem of the building envelope, and MOR method can
effectively speed
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