2D whole-building hygrothermal simulation analysis based on a PGD reduced order model

Abstract Innovative and efficient ways to carry out numerical simulations are worth of investigation to reduce the computational complexity of building models and make it possible to solve complex problems. This paper presents a reduced order model, based on Proper Generalised Decomposition (PGD), to assess 2-dimensional heat and moisture transfer in walls. This model is associated with the multizone model Domus using an indirect coupling method. Both models are co-simulated to perform whole-building hygrothermal simulation, considering 2D transfer in walls. The whole-building model is first validated with data from the IEA Annex 41. Then, a case study is considered taking into account a 2-zones building with an intermediary shared wall modelled in 2 dimensions to illustrate the importance of the technique to analyse the hygrothermal behaviour of the wall. It has been highlighted that the whole model enables to perform more precisely analyses such as mould growth on the internal surface. In addition, important theoretical numerical savings (90%) are observed when compared to the large original model. However, the effective numerical savings are not so important (40%) due to the limitations of the co-simulation method.

[1]  Monika Woloszyn,et al.  Proper Generalised Decomposition for heat and moisture multizone modelling , 2015 .

[2]  Phalguni Mukhopadhyaya,et al.  Hygrothermal performance of building envelopes: uses for 2D and 1D simulation , 2005 .

[3]  Nathan Mendes,et al.  A building corner model for hygrothermal performance and mould growth risk analyses , 2009 .

[4]  Jan Carmeliet,et al.  Performance Prediction for Masonry Walls with EIFS Using Calculation Procedures and Laboratory Testing , 2002 .

[5]  Siamak Niroomandi,et al.  Accounting for large deformations in real-time simulations of soft tissues based on reduced-order models , 2012, Comput. Methods Programs Biomed..

[6]  Adrien Leygue,et al.  On the solution of the multidimensional Langer's equation using the proper generalized decomposition method for modeling phase transitions , 2011 .

[7]  Staf Roels,et al.  Review of mould prediction models and their influence on mould risk evaluation , 2012 .

[8]  Anthony Nouy,et al.  Generalized spectral decomposition for stochastic nonlinear problems , 2009, J. Comput. Phys..

[9]  Nathan Mendes,et al.  Combined simulation of central HVAC systems with a whole-building hygrothermal model , 2008 .

[10]  Michael A. Gerber,et al.  EnergyPlus Energy Simulation Software , 2014 .

[11]  Monika Woloszyn,et al.  Investigation of Microclimate by CFD Modeling of Moisture Interactions between Air and Constructions , 2007 .

[12]  Adrien Leygue,et al.  The Proper Generalized Decomposition for Advanced Numerical Simulations: A Primer , 2013 .

[13]  Jan Carmeliet,et al.  CONSERVATIVE MODELLING OF THE MOISTURE AND HEAT TRANSFER IN BUILDING COMPONENTS UNDER ATMOSPHERIC EXCITATION , 2007 .

[14]  Monika Woloszyn,et al.  Experimental wooden frame house for the validation of whole building heat and moisture transfer nume , 2011 .

[15]  Carl-Eric Hagentoft,et al.  Analytical Solution for Moisture Buffering Effect Validation Exercises for Simulation Tools , 2005 .

[16]  Joseph Andrew Clarke,et al.  Moisture flow modelling within the ESP-r integrated building performance simulation system , 2013 .

[17]  Monika Woloszyn,et al.  Tools for performance simulation of heat, air and moisture conditions of whole buildings , 2008 .

[18]  Arnold Janssens,et al.  Coupled simulation of heat and moisture transport in air and porous materials for the assessment of moisture related damage , 2009 .

[19]  Fraunhofer-Institut für Bauphysik,et al.  Simultaneous heat and moisture transport in building components: One- and two-dimensional calculation using simple parameters , 1995 .

[20]  C. Allery,et al.  Proper general decomposition (PGD) for the resolution of Navier-Stokes equations , 2011, J. Comput. Phys..

[21]  J. Hensen.  MODELLING COUPLED HEAT AND AIR FLOW: PING-PONG VS ONIONS , 1995 .

[22]  P. Ladevèze,et al.  Sur une famille d'algorithmes en mécanique des structures , 1985 .

[23]  François Garde,et al.  On the thermal behaviour of roof-mounted radiant barriers under tropical and humid climatic conditions: modelling and empirical validation , 2003 .

[24]  Nathan Mendes,et al.  A method for predicting heat and moisture transfer through multilayered walls based on temperature and moisture content gradients , 2005 .

[25]  Monika Woloszyn,et al.  Characterization of fracture patterns and hygric properties for moisture flow modelling in cracked concrete , 2012 .

[26]  Francisco Chinesta,et al.  Non-incremental transient solution of the Rayleigh–Bénard convection model by using the PGD , 2013 .

[27]  Pierre Ladevèze,et al.  Proper Generalized Decomposition for Multiscale and Multiphysics Problems , 2010 .

[28]  Etienne Wurtz,et al.  Study of moisture transfer in a double-layered wall with imperfect thermal and hydraulic contact resistances , 2009 .

[29]  A. Ammar,et al.  PGD-Based Computational Vademecum for Efficient Design, Optimization and Control , 2013, Archives of Computational Methods in Engineering.

[30]  van Awm Jos Schijndel,et al.  Modeling and solving building physics problems with FemLab. , 2003 .

[31]  Adrien Leygue,et al.  Real-Time Simulation for Virtual Surgery in a PGD Framework , 2012 .

[32]  Siamak Niroomandi,et al.  Model order reduction in hyperelasticity: a proper generalized decomposition approach , 2013 .

[33]  Francisco Chinesta,et al.  Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition , 2008 .

[34]  G. Santos,et al.  Simultaneous heat and moisture transfer in soils combined with building simulation , 2006 .

[35]  Paul Fazio,et al.  Transient model for coupled heat, air and moisture transfer through multilayered porous media , 2010 .

[36]  Paul Fazio,et al.  Development of HAM tool for building envelope analysis , 2009 .

[37]  Carl-Eric Hagentoft.  Introduction to Building Physics , 2001 .

[38]  F. Couture,et al.  Simulation of Convective Drying of a Porous Medium with Boundary Conditions Provided by CFD , 2006 .

[39]  Ruut Hannele Peuhkuri,et al.  Moisture and Bio-deterioration Risk of Building Materials and Structures , 2010 .

[40]  M. D. Paepe,et al.  On coupling 1D non-isothermal heat and mass transfer in porous materials with a multizone building energy simulation model , 2010 .

[41]  Samuel Y. Harris.  Building Pathology: Deterioration, Diagnostics, and Intervention , 2001 .

[42]  J. Howell,et al.  Advanced Heat and Mass Transfer , 2010 .

[43]  Dominique Derome,et al.  Moisture occurrence in roof assemblies containing moisture storing insulation and its impact on the durability of building envelope , 1999 .

[44]  Catherine Buhé,et al.  Factors governing the development of moisture disorders for integration into building performance simulation , 2015 .

[45]  Carsten Rode,et al.  The international building physics toolbox in Simulink , 2007 .

[46]  Francisco Chinesta,et al.  A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids - Part II: Transient simulation using space-time separated representations , 2007 .

[47]  F. Chinesta,et al.  A Short Review in Model Order Reduction Based on Proper Generalized Decomposition , 2018 .

[48]  Elías Cueto,et al.  Non incremental strategies based on separated representations: applications in computational rheology , 2010 .

[49]  Catherine Buhé,et al.  MOULD GROWTH DAMAGES DUE TO MOISTURE: COMPARING 1D AND 2D HEAT AND MOISTURE MODELS? , 2013 .

[50]  Francisco Chinesta,et al.  On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition , 2010, Math. Comput. Simul..