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

Berger, Julien; Mazuroski, Walter; Mendes, Nathan; Guernouti, Sihem; Woloszyn, Monika

doi:10.1016/j.enbuild.2015.11.023

Cited by 22 publications

(11 citation statements)

References 34 publications

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“…For both the finite difference and combined parametric models, the most expensive operation is to reverse the problem matrix. The number of problem degrees of freedom often yields direct information on the computational complexity of the problem and its cost [16]. With the finite difference model, a system of N t time steps and N x nodes needs to be solved.…”

Section: Calculation Cost and Timementioning

confidence: 99%

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A mixed POD–PGD approach to parametric thermal impervious soil modeling: Application to canyon streets

Azam

Guernouti

Musy

et al. 2018

Sustainable Cities and Society

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Numerical simulation is a powerful tool for assessing the causes of an Urban Heat Island (UHI) effect or quantifying the impact of mitigation solutions on local climatic conditions. However, the numerical cost associated with such a tool, which may seem low for a section of mesh within the district geometric model, is quite significant at the scale of an entire district. Today, the main challenge consists of achieving both a proper representation of the physical phenomena and a critical reduction in the numerical costs of running simulations. This paper presents a combined parametric urban soil model that accurately reproduces thermal heat flux exchanges between the soil and the urban environment with a reduced computation time. For this purpose, the use of a combination of two reduced-order methods is proposed herein: the Proper Orthogonal Decomposition (POD) method, and the Proper Generalized Decomposition (PGD) method. The developed model is applied to two case studies in order to establish a practical evaluation: an open area independent of the influences of the surrounding surface, namely a parking lot, and a theoretical urban scene with two canyon streets. The mean surface temperature reduction error remains below 0.52˝C for a cut computational cost of 80%.

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Section: Calculation Cost and Timementioning

confidence: 99%

“…Hence, the model solution is given as a direct function of x and t coordinates, along with the extraparameter of the problem. Various examples using the PGD parametric model can be found in applications to heat transfer [12][13][14] with an emphasis on building energy simulation [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

A mixed POD–PGD approach to parametric thermal impervious soil modeling: Application to canyon streets

Azam

Guernouti

Musy

et al. 2018

Sustainable Cities and Society

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“…In addition, differences are observed depending on whether the model is generated in 2D or 3D. In most of the literature published, energy models are conditioned by room measurements and the complexity of their shape, by the model type (1D, 2D or 3D), as well as by the long computation times due to numerical complexity, command of space, the passing of time and simulation periods [26]. As a result of this, Fuliotto et al [27] proposed a simple computer tool using uncoupling methods to obtain simplified software to assess the operation of these façades using 2D models.…”

Section: Introductionmentioning

confidence: 99%

“…This produces a truly 3D indoor distribution of the flow, conditioned by the vertical temperature gradient of the façade as well as by the mechanical ventilation in the room, now executed with greater precision. due to numerical complexity, command of space, the passing of time and simulation periods [26]. As a result of this, Fuliotto et al [27] proposed a simple computer tool using uncoupling methods to obtain simplified software to assess the operation of these façades using 2D models.…”

Section: Introductionmentioning

confidence: 99%

Thermal 3D CFD Simulation with Active Transparent Façade in Buildings

et al. 2018

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In recent years active façades have acquired greater importance given their capacity to improve the energy efficiency of buildings. One such type is the so-called Active Transparent Façade (ATF). A 3D numerical model based on computational fluid dynamics (CFD) and the Finite Element Method (FEM) has been generated to simulate the thermal performance of buildings equipped with this type of façade. This model is introduced for general application and allows the design parameters to be adapted for this system. The case study of Le Corbusier’s proposal for the City of Refuge in Paris, the clearest example of previous use of an ATF is examined. In addition, a proposal is presented for the energy improvement of Le Corbusier’s original solution. In order to do so, the conditions for the supply of air into the ATF cavity and in the mechanical ventilation system are assessed to guarantee comfort conditions.

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“…For each zone, the evolutions of the air temperature T a and the humidity ratio w a are given by the equations [3,4,25]:…”

Section: Coupling the Lumped Air Multizone Model With The Transfer Thmentioning

confidence: 99%

An improved explicit scheme for whole-building hygrothermal simulation

et al. 2017

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Abstract. Implicit schemes require important sub-iterations when dealing with highly nonlinear problems such as the combined heat and moisture transfer through porous building elements. The computational cost rises significantly when the whole-building is simulated, especially when there is important coupling among the building elements themselves with neighbouring zones and with HVAC (Heating Ventilation and Air Conditioning) systems. On the other hand, the classical Euler explicit scheme is generally not used because its stability condition imposes very fine time discretisation. Hence, this paper explores the use of an improved explicit approach -the Dufort-Frankel scheme -to overcome the disadvantage of the classical explicit one and to bring benefits that cannot be obtained by implicit methods. The Dufort-Frankel approach is first compared to the classical Euler implicit and explicit schemes to compute the solution of nonlinear heat and moisture transfer through porous materials. Then, the analysis of the Dufort-Frankel unconditionally stable explicit scheme is extended to the coupled heat and moisture balances on the scale of a one-and a two-zone building models. The Dufort-Frankel scheme has the benefits of being unconditionally stable, second-order accurate in time O (∆t 2 ) and to compute explicitly the solution at each time step, avoiding costly sub-iterations. This approach may reduce the computational cost by twenty, as well as it may enable perfect synchronism for whole-building simulation and co-simulation.

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

Cited by 22 publications

References 34 publications

A mixed POD–PGD approach to parametric thermal impervious soil modeling: Application to canyon streets

A mixed POD–PGD approach to parametric thermal impervious soil modeling: Application to canyon streets

Thermal 3D CFD Simulation with Active Transparent Façade in Buildings

An improved explicit scheme for whole-building hygrothermal simulation

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