Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
POD–DEIM model order reduction for nonlinear heat and moisture transfer in building materials
In this paper, the proper orthogonal decomposition (POD) method and the discrete empirical interpolation method (DEIM) are combined to construct a reduced-order model for a cost-optimal simulation of heat and moisture transfer in building materials. The POD-DEIM performance is assessed via two applications: a relatively simple case study on nonlinear heat conduction and a more complex case study on nonlinear moisture redistribution. In both, the results of the POD-DEIM model are compared to results from POD and finite volume methods simulations, to evaluate the accuracy of the POD-DEIM as a function of the numbers of construction modes and interpolation points. Also, as the number of POD construction modes and DEIM interpolation points does not entirely represent the computational cost of different models, the accuracies of the different models are compared as a function of the respective calculation times, to provide a fair comparison of their computational performances. Further, the use of POD-DEIM to simulate a problem different from the POD training snapshot simulation is investigated. The outcomes show that when a rather highly accurate result is desired, POD-DEIM model is capable of reducing the computational cost relative to POD and FVM.
POD–DEIM model order reduction for nonlinear heat and moisture transfer in building materials
In this paper, the proper orthogonal decomposition (POD) method and the discrete empirical interpolation method (DEIM) are combined to construct a reduced-order model for a cost-optimal simulation of heat and moisture transfer in building materials. The POD-DEIM performance is assessed via two applications: a relatively simple case study on nonlinear heat conduction and a more complex case study on nonlinear moisture redistribution. In both, the results of the POD-DEIM model are compared to results from POD and finite volume methods simulations, to evaluate the accuracy of the POD-DEIM as a function of the numbers of construction modes and interpolation points. Also, as the number of POD construction modes and DEIM interpolation points does not entirely represent the computational cost of different models, the accuracies of the different models are compared as a function of the respective calculation times, to provide a fair comparison of their computational performances. Further, the use of POD-DEIM to simulate a problem different from the POD training snapshot simulation is investigated. The outcomes show that when a rather highly accurate result is desired, POD-DEIM model is capable of reducing the computational cost relative to POD and FVM.
POD–DEIM model order reduction for nonlinear heat and moisture transfer in building materials
Hou, Tianfeng (Autor:in) / Meerbergen, Karl (Autor:in) / Roels, Staf (Autor:in) / Janssen, Hans (Autor:in)
Journal of Building Performance Simulation ; 13 ; 645-661
01.11.2020
17 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
Nonlinear model reduction of unconfined groundwater flow using POD and DEIM
| British Library Online Contents | 2016
Nonlinear model reduction of unconfined groundwater flow using POD and DEIM
| British Library Online Contents | 2016
Nonlinear model reduction of unconfined groundwater flow using POD and DEIM
| British Library Online Contents | 2016
Heat and moisture transfer through building materials
| TIBKAT | 2009
Combined heat, air and moisture (HAM) transfer model for porous building materials
| Tema Archiv | 2009