Simulating Heat and Mass Transfer with Limited Amount of Sensor Data
We consider the problem of dynamically modeling the distribution of temperature and concentration of water vapor inside a building. It is assumed that the building is equipped with a network of sparsely located sensors and a data management system recording measurements of temperature, relative humidity, and air flow. The measurements serve as input data for a time-dependent boundary value problem proposed to simulate heat and mass transfer inside a building.
The author thanks members of the Physical Analytics group at IBM for discussions that led to the motivation for carrying out this work and Ognyan Stoyanov for helpful comments on a preliminary version of this paper.
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