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Articles

Parametric PGD model used with orthogonal polynomials to assess efficiently the building's envelope thermal performance

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Pages 132-154 | Received 25 Aug 2020, Accepted 18 Dec 2020, Published online: 10 Jan 2021

References

  • Ammar, Amine, Francisco Chinesta, Pedro Diez, and Antonio Huerta. 2010. “An Error Estimator for Separated Representations of Highly Multidimensional Models.” Computer Methods in Applied Mechanics and Engineering 199 (25-28): 1872–1880.
  • Azam, Marie-Hélène, Sihem Guernouti, Marjorie Musy, Julien Berger, Philippe Poullain, and Auline Rodler. 2018. “A Mixed Pod–pgd Approach to Parametric Thermal Impervious Soil Modeling: Application to Canyon Streets.” Sustainable Cities and Society 42: 444–461.
  • Azam, Marie-Hélène, Sihem Guernouti, Marjorie Musy, and Philippe Poullain. Sept. 2-4, 2019. “How to Perform an Efficient Learning Process for a Combined Pod and pgd Soil Urban Thermal Model? Application to Canyon Streets.” In Proceedings of the 16th IBPSA Conference Rome, Italy, Vol. 29, 3155–3162. http://www.ibpsa.org/building-simulation-2019.
  • Berger, Julien, Walter Mazuroski, Ricardo CLF Oliveira, and Nathan Mendes. 2018. “Intelligent Co-simulation: Neural Network Vs. Proper Orthogonal Decomposition Applied to a 2d Diffusive Problem.” Journal of Building Performance Simulation 11: 1–20.
  • Berger, Julien, and Nathan Mendes. 2017. “An Innovative Method for the Design of High Energy Performance Building Envelopes.” Applied Energy 190: 266–277.
  • Borzacchiello, Domenico, José V Aguado, and Francisco Chinesta. 2017. “Non-intrusive Sparse Subspace Learning for Parametrized Problems.” Archives of Computational Methods in Engineering 26: 1–24.
  • Boyd, John P. 2001. Chebyshev and Fourier Spectral Methods. Dover Edition. Mineola, NY: Courier Corporation.
  • Chinesta, Francisco, Roland Keunings, and Adrien Leygue. 2013. The Proper Generalized Decomposition for Advanced Numerical Simulations: A Primer. Springer Science & Business Media.
  • Chinesta, Francisco, Pierre Ladeveze, and Elías Cueto. 2011. “A Short Review on Model Order Reduction Based on Proper Generalized Decomposition.” Archives of Computational Methods in Engineering 18(4)395.
  • Crawley, Drury B, Linda K Lawrie, Frederick C Winkelmann, Walter F Buhl, Y Joe Huang, Curtis O Pedersen, and Richard K Strand, et al. 2001. “Energyplus: Creating a New-generation Building Energy Simulation Program.” Energy and Buildings 33 (4): 319–331.
  • Cueto, Elías, Francisco Chinesta, and Antonio Huerta. 2014. “Model Order Reduction Based on Proper Orthogonal Decomposition.” In Separated Representations and PGD-Based Model Reduction, 1–26. Springer.
  • Cueto, Elías, David González, and Icíar Alfaro. 2016. Proper Generalized Decompositions. SpringerBriefs in Applied Sciences and Technology. Cham: Springer International Publishing, doi: 10.1007/978-3-319-29994-5.
  • Driscoll, T. A., N. Hale, and L. N. Trefethen. 2014. Chebfun Guide. https://www.chebfun.org/docs/guide/chebfun_guide.pdf.
  • Gasparin, Suelen, Julien Berger, Denys Dutykh, and Nathan Mendes. 2018. “Advanced Reduced-order Models for Moisture Diffusion in Porous Media.” Transport in Porous Media 124 (3): 965–994.
  • Gasparin, Suelen, Julien Berger, Denys Dutykh, and Nathan Mendes. 2018. “Solving Nonlinear Diffusive Problems in Buildings by Means of a Spectral Reduced-order Model.” Journal of Building Performance Simulation 12: 1–20.
  • Gasparin, Suelen, Julien Berger, Denys Dutykh, and Nathan Mendes. 2018. “An Adaptive Simulation of Nonlinear Heat and Moisture Transfer As a Boundary Value Problem.” International Journal of Thermal Sciences 133: 120–139.
  • Gasparin, Suelen, Denys Dutykh, and Nathan Mendes. 2018. “A Spectral Method for Solving Heat and Moisture Transfer Through Consolidated Porous Media.” International Journal for Numerical Methods in Engineering 117.
  • González, David, Elías Cueto, and Francisco Chinesta. 2014. “Real-time Direct Integration of Reduced Solid Dynamics Equations.” International Journal for Numerical Methods in Engineering 99 (9): 633–653.
  • González, David, F Masson, F Poulhaon, Adrien Leygue, Elías Cueto, and Francisco Chinesta. 2012. “Proper Generalized Decomposition Based Dynamic Data Driven Inverse Identification.” Mathematics and Computers in Simulation 82 (9): 1677–1695.
  • Journal officiel de la République Fançaise, Th-b-ce, 2012, fascicule th-u matériaux, 2017. https://www.rt-batiment.fr/batiments-neufs/reglementation-thermique-2012/textes-de-references.html.
  • Lauzet, Nicolas, Auline Rodler, Marjorie Musy, Marie-Hélène Azam, Sihem Guernouti, Dasaraden Mauree, and Thibaut Colinart. 2019. “How Building Energy Models Take the Local Climate Into Account in An Urban Context – A Review.” Renewable and Sustainable Energy Reviews 116: 109390.
  • Leon, Angel, Anais Barasinski, Emmanuelle Abisset-Chavanne, Elias Cueto, and Francisco Chinesta. 2018. “Wavelet-based Multiscale Proper Generalized Decomposition.” Comptes Rendus Mécanique 346 (7): 485–500.
  • Liang, Y. C., H. P. Lee, S. P. Lim, W. Z. Lin, K. H. Lee, and C. G. Wu. 2002. “Proper Orthogonal Decomposition and Its Applications – Part I: Theory.” Journal of Sound and Vibration 252 (3): 527–544.
  • Malys, Laurent, Marjorie Musy, and Christian Inard. 2015. “Microclimate and Building Energy Consumption: Study of Different Coupling Methods.” Advances in Building Energy Research 9 (2): 151–174.
  • Peyret, Roger. 2013. Spectral Methods for Incompressible Viscous Flow. Vol. 148. New York: Springer Science & Business Media.
  • Poulhaon, Fabien, Francisco Chinesta, and Adrien Leygue. 2012. “A First Step Toward a Pgd-based Time Parallelisation Strategy.” European Journal of Computational Mechanics/Revue Européenne De Mécanique Numérique 21 (3-6): 300–311.
  • Pruliere, Etienne, Francisco Chinesta, and Amine Ammar. 2010. “On the Deterministic Solution of Multidimensional Parametric Models Using the Proper Generalized Decomposition.” Mathematics and Computers in Simulation 81 (4): 791–810.
  • Shampine, Lawrence F, Jacek Kierzenka, and Mark W Reichelt. 2000. “Solving Boundary Value Problems for Ordinary Differential Equations in Matlab with Bvp4c.” Tutorial Notes 2000: 1–27.
  • Taylor, John R. 1997. Error Analysis. Sausalito, CA: University Science Books.
  • Trefethen, Lloyd N. 2013. Approximation Theory and Approximation Practice. Vol. 128. Philadelphia: Siam.
  • Zucatti, Victor, Hugo F. S. Lui, Diogo B Pitz, and William R Wolf. 2020. “Assessment of Reduced-order Modeling Strategies for Convective Heat Transfer.” Numerical Heat Transfer, Part A: Applications 77 (7): 702–729.

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