101. Review of Reduced Order Models for Heat and Moisture Transfer in Building Physics with Emphasis in PGD Approaches
- Author
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Sihem Guernouti, Francisco Chinesta, Julien Berger, Nathan Mendes, Monika Woloszyn, Laboratoire Optimisation de la Conception et Ingénierie de l'Environnement (LOCIE), Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS), Pontifical Catholic University of Paraná (PUCPR), Pontifical Catholic University of Paraná, Centre d'Etudes et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'Aménagement - Equipe-projet BPE (Cerema Equipe-projet BPE), Centre d'Etudes et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'Aménagement (Cerema), Laboratoire de Mécanique des Systèmes et des Procédés (LMSP), Université d'Orléans (UO)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])
- Subjects
020209 energy ,Applied Mathematics ,Emphasis (telecommunications) ,Control engineering ,02 engineering and technology ,Building engineering physics ,Computer Science Applications ,[SPI]Engineering Sciences [physics] ,0202 electrical engineering, electronic engineering, information engineering ,Decomposition (computer science) ,[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] ,[SPI.GCIV.RHEA]Engineering Sciences [physics]/Civil Engineering/Rehabilitation ,Reduction (mathematics) ,Moisture transfer ,Representation (mathematics) ,Algorithm ,ComputingMilieux_MISCELLANEOUS ,Mathematics ,Parametric statistics ,Envelope (motion) - Abstract
This paper presents a review of the use of model reduction techniques for building physics applications. The use of separated representations, the so called Proper Generalised Decomposition (PGD), is particularly investigated. This technique can be applied for efficient building physics modelling at different levels: the wall and multizone models, the whole-building (coupled envelope and air volumes) simulation and their practical applications. The PGD can be formulated as a space-time representation to provide fast and accurate solutions of 2- and 3-dimensional problems at the wall or the whole-building level. Furthermore, the PGD solution allows to treat efficiently parametric problems of practical building applications.
- Published
- 2017