Fast Simulation Methods for Dynamic Heat Transfer through Building Envelope Based on Model-order-Reduction

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 temperature and the heat flux on the interior surface of the roof are less than 0.2oC and 1.5W/m2, 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 up the calculation. Krylov subspace MOR method has the advantage of quick calculating speed. Balanced truncation MOR method maintains the stability of the original system.