| Issue |
E3S Web Conf.
Volume 172, 2020
12th Nordic Symposium on Building Physics (NSB 2020)
|
|
|---|---|---|
| Article Number | 04002 | |
| Number of page(s) | 6 | |
| Section | Moisture modelling | |
| DOI | https://doi.org/10.1051/e3sconf/202017204002 | |
| Published online | 30 June 2020 | |
The use of POD–DEIM model order reduction for the simulation of nonlinear hygrothermal problems
1 KU Leuven, Department of Civil Engineering, Building Physics Section, Kasteelpark Arenberg 40, 3001 Heverlee, Belgium.
2 KU Leuven, Department of Computer Science, Numerical Analysis and Applied Mathematics section, Celestijnenlaan 200a, 3001 Heverlee, Belgium.
* Corresponding author: tianfeng.hou@kuleuven.be
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.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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