| Autor: |
Berger, Julien, Allery, Cyrille, Machard, Anaïs |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Energy and Buildings, Volume 268, 2022, 112187, ISSN 0378-7788 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.enbuild.2022.112187 |
| Popis: |
Within the environmental context, numerical modeling is a promising approach to assessing the energy efficiency of buildings. Resilient buildings need to be designed, and capable of adapting to future extreme heat. Simulations are required assuming a one-dimensional heat transfer problem through walls and a simulation horizon of several years (nearly 30). The computational cost associated with such modeling is quite significant and model reduction methods are worth investigating. The objective is to propose a reliable reduced-order model for such long-term simulations. For this, an alternative model reduction approach is investigated, assuming a known Proper Orthogonal Decomposition reduced basis for time, and not for space as usual. The model enables computing parametric solutions using basis interpolation on the tangent space of the \textsc{Grassmann} manifold. Three study cases are considered to verify the efficiency of the \revision{reduced-order} model. Results highlight that the model has a satisfying accuracy of $10^{\,-3}\,$ compared to reference solutions. The last case study focuses on the wall energy efficiency design under climate change according to a \revision{four-dimensional} parameter space. The latter is composed of the load material emissivity, heat capacity, thermal conductivity, and thickness insulation layer. Simulations are carried over $30$ years considering climate change. The solution minimizing the wall work rate is determined with a computational ratio of $0.1\%$ compared to standard approaches. |
| Databáze: |
arXiv |
| Externí odkaz: |
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