期刊
JOURNAL OF BUILDING PERFORMANCE SIMULATION
卷 8, 期 5, 页码 295-311出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/19401493.2014.932012
关键词
proper generalized decomposition; heat and mass transfer; model order reduction
资金
- French National Research Agency (ANR) [ANR-11-BVD]
This paper proposes a reduced order model to simulate heat and moisture behaviour of material based on proper general decomposition (PGD). This innovative method is an a priori model reduction method. It proposes an alternative way for computing solutions of the problem by considering a separated representation of the solution. PGD offers an interesting reduction of numerical cost. In this paper, the PGD solution is first compared with a finite element solution and the commercial validated model Delphin in an 1D case. The results show that the PGD resolution techniques enable the field of interest to be represented with accuracy, with a relative error rate of less than 0.1%. The study remains in the hygroscopic range of the material. As the numerical gain of the method becomes interesting when the space dimension increases, this resolution strategy was then used on a 2D multi-layered test case. The dynamics and amplitude of hygrothermal fields are perfectly represented by the PGD solution. Temperature and vapour pressure modelled with PGD can be used for post-processing and analysing the behaviour of an assembly.
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