Open AccessMathematical model of building envelope element insolation
Author(s) -
Н. П. Копытов,
E. A. Mityushov,
N. E. Misyura,
С. А. Берестова
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/675/1/012054
Subject(s) - sunlight , rotation (mathematics) , quaternion , envelope (radar) , insolation , azimuth , computer science , element (criminal law) , earth's rotation , mathematics , geodesy , geometry , geology , optics , artificial intelligence , physics , telecommunications , radar , climatology , law , political science
In this paper, the problem of estimation of building envelope oriented element insolation by direct sunlight is solved using mathematical model of Earth’s rotation. Quaternions are used as mathematical tool for description of rotation. The model allows to obtain automatically estimation of building element insolation by direct sunlight for given latitude and given time interval (month, week, day, etc.). The model takes into account schedule of change of day and night, change of direct sunlight angle on a given element of the surface caused by sun motion over horizon (changes of its height and azimuth during time of day). Distinctive feature of the model is simplicity of program-algorithmic implementation due to using description of rotation by means of quaternions.