Abstract

This study introduced a sequential contribution coefficient calculation method with an ambient cache to expedite the computation of daylight coefficient (DC) matrices and view matrices for the two-phase method (2-PM) and three-phase method (3-PM) in daylight simulations. This innovation resulted in the development of swifter two-phase and three-phase methods. Additionally, a novel tool for high-speed matrix multiplication was developed to enhance climate-based daylight modeling. The results demonstrate the effectiveness of the proposed sequence contribution coefficient calculation, showing a reduction in computation time for the DC matrix by 53.1% and 55.8% for 145 sky patches and 1297 sky patches, respectively. Furthermore, the view matrix computation time shows an impressive reduction of 86.4%. The tool for rapid matrix multiplication further contributes to a reduction in computation time exceeding 80%. Overall, the fast two-phase method and three-phase method achieve a reduction in computation time exceeding 60% and 80%, respectively, compared to the original two-phase and three-phase methods. Notably, the simulation results affirm that the accelerated matrix-based method does not compromise the accuracy of glare metric calculations.

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