Wind and Structures

Volume 42, Number 3, 2026, pages 409-431

DOI: 10.12989/was.2026.42.3.409

Numerical investigation of the influence of hill slopes on the wind topographic acceleration effect of a three-dimensional hill

Liang Li , Deqian Zheng , Guixiang Chen Wenyong Ma , Pingzhi Fang

Abstract

As for the wind resistance design for building structures on hilly terrains, the fundamental issue is to establish the wind topographic acceleration effect. Since the hill slope plays an important role in the wind flow around hilly terrains, its influence on the wind topographic acceleration effect needs further investigation. In this study, the large eddy simulation (LES) was carried out to study the influence of slope variation on the wind topographic acceleration effect around a three-dimensional hill. The results indicate that the hill slope significantly affects the distribution of the wind topographic acceleration effect over the hill. The coverage of the wind topographic acceleration effect increases with the slope increase. At the hill windward, the mean wind topographic acceleration effect is suppressed with the increasing slope and reaches its maximum at the hilltop, while it shows the opposite for the fluctuating counterpart. On the hill leeward, the mean wind topographic acceleration effect gradually reduces with the increase of slope. Moreover, a critical slope of 25° for the fluctuating wind topographic acceleration effect can be found near the hill surface on the leeward side. The fluctuating wind topographic reduces with the slope increase when α 25°, while exhibits an opposite trend when 25° > 25°. A mathematical model, which incorporates the slope, height and topographic influence factors, was then proposed to depict the distribution of the mean and fluctuating wind topographic acceleration effect coefficients. Compared to different national load codes, the proposed model presents a good performance not only in predicting the mean wind topographic acceleration effect, but also in possessing the capability in the prediction of the fluctuating wind topographic acceleration effect.

Key Words

Wind topographic acceleration effect; Large eddy simulation; Three-dimensional hill; Mathematical model; Hill slopes

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