Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:B2L-B
Session:
Number:B2L-B-2
Modeling of Effective Heat Diffusion in a Building Atrium via Koopman Mode Decomposition
Yohei Kono, Yoshihiko Susuki, Mitsunori Hayashida, Takashi Hikihara,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
We develop a method for modeling of heat transfer dynamics in a building atrium based on observational data on temperature. This paper introduces a two-dimensional heat diffusion equation with an effective diffusion coefficient in order to represent the heat transfer mainly due to the air movement inside an atrium, where the air slowly moves on a length-scale smaller than the distance between rooms. Then we propose a method for identifying the coefficient based on a spatio-temporal oscillatory pattern extracted from the data via Koopman mode decomposition. The calculated coefficient is verified with the characteristic numbers of the air flow in the atrium and its architectural geometry.