Solving parametric problems in building renovation with a spectral reduced-order method
| Autor: | Suelen Gasparin, Julien Berger, Rafik Belarbi, Denys Dutykh, Nathan Mendes |
|---|---|
| Přispěvatelé: | Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 (LaSIE), La Rochelle Université (ULR)-Centre National de la Recherche Scientifique (CNRS), Centre d'Etudes et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'Aménagement (Cerema), Laboratoire Analyse et Mathématiques Appliquées (LAMA), Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS)-Université Gustave Eiffel, Pontifícia Universidade Católica do Paraná (PUCPR) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Spectral methods
building renovation Modeling and Simulation numerical simulation Architecture [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] [SPI.MECA.THER]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Thermics [physics.class-ph] Building and Construction parametric problems [SPI.GCIV.RHEA]Engineering Sciences [physics]/Civil Engineering/Rehabilitation Computer Science Applications reduced-order modeling |
| Zdroj: | Journal of Building Performance Simulation Journal of Building Performance Simulation, Taylor & Francis, In press, ⟨10.1080/19401493.2022.2126527⟩ |
| ISSN: | 1940-1493 1940-1507 |
| DOI: | 10.1080/19401493.2022.2126527⟩ |
| Popis: | International audience; In this paper, the spectral method is developed as a reduced-order model for the solution of parametric problems within the building refurbishment framework. We propose to use the spectral reduced-order method to solve parametric problems in an innovative way, integrating the unknown parameter as one of the coordinates of the decomposition. The residual is minimized combining the Tau–Galerkin method with the Collocation approach. The developed method is evaluated in terms of accuracy and reduction of the computational time in three different cases. The dynamic behaviour of unidimensional moisture diffusion is investigated. The cases focus on solving parametric problems in which the solution depends on space, time, diffusivity and material thickness. Results highlight that the parametric spectral reduced-order method provides accurate solutions and can reduce 10 times the degree of freedom of the solution. It allows efficient computation of the physical phenomena with a lower error when compared to traditional approaches |
| Databáze: | OpenAIRE |
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