The use of POD–DEIM model order reduction for the simulation of nonlinear hygrothermal problems

Autor: Hou Tianfeng, Meerbergen Karl, Roels Staf, Janssen Hans
Jazyk: English<br />French
Rok vydání: 2020
Předmět:
Zdroj: E3S Web of Conferences, Vol 172, p 04002 (2020)
Druh dokumentu: article
ISSN: 2267-1242
DOI: 10.1051/e3sconf/202017204002
Popis: In this paper, the discrete empirical interpolation method (DEIM) and the proper orthogonal decomposition (POD) method are combined to construct a reduced order model to lessen the computational expense of hygrothermal simulation. To investigate the performance of the POD-DEIM model, HAMSTAD benchmark 2 is selected as the illustrative case study. To evaluate the accuracy of the POD-DEIM model as a function of the number of construction modes and interpolation points, the results of the POD-DEIM model are compared with a POD and a Finite Volume Method (FVM). Also, as the number of construction modes/interpolation points cannot entirely represent the computational cost of different models, the accuracies of the different models are compared as function of the calculation time, to provide a fair comparison of their computational performances. Further, the use of POD-DEIM to simulate a problem different from the training snapshot simulation is investigated. The outcomes show that with a sufficient number of construction modes and interpolation points the POD-DEIM model can provide an accurate result, and is capable of reducing the computational cost relative to the POD and FVM.
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