A numerical model for wind-borne compact debris trajectory estimation: Part 1 - Probabilistic analysis of trajectory in the proximity of tall buildings
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摘要
This paper describes the development of a numerical algorithm for investigating the probability of wind-borne compact debris, impacting on the vertical fa莽ade of tall buildings. A uniform wind field with constant velocity was employed; turbulence effects were neglected.

The trajectory of compact debris was estimated by solving the three-dimensional (3D) equations of motion of the object, immersed in uniform wind field; simulation results were compared to experimental data, derived from literature. Random parameters were selected to estimate the trajectory and to derive 鈥淚so-probability Impact Contours鈥? using Monte Carlo simulation. These contours describe the probability associated with 鈥渞andomly flying鈥?debris, as they impact against a cladding on the vertical fa莽ade, conditional on the initial position of the object relative to the structure. These contours were developed for two different cases, 鈥淨uasi-2D鈥?and 鈥淔ully 3D鈥? to account for wind directionality.

Moreover, a 鈥淯niversal Probability Curve鈥? describing the probability of impact for compact objects against the fa莽ade of a benchmark tall building, was developed in two-dimensional (2D). It was proven that this curve is universal and can be used independently of wind velocity.

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