16 Aug 2023
 | 16 Aug 2023
Status: this preprint is currently under review for the journal WES.

Fractal-based numerical simulation of multivariate typhoon wind speeds utilizing Weierstrass Mandelbrot function

Kang Cai, Mingfeng Huang, Qiang Li, Qing Wang, Yong Chen, and Lizhong Wang

Abstract. This paper proposes a fractal-based technique for simulating multivariate nonstationary wind speed fields by the stochastic Weierstrass Mandelbrot function. Upon conducting a systematic fractal analysis, it was found that the structure function method is more suitable and reliable than the box counting method, variation method, and R/S analysis method for estimating the fractal dimension of the stochastic wind speed series. Wind field measurement at the meteorological gradient tower with a height of 356 m in Shenzhen was conducted during Typhoon Mangkhut (2018). Significant non-stationary properties and fractal dimensions of typhoon wind speed data at various heights were analyzed and used to demonstrate the effectiveness of the proposed multivariate typhoon wind speed simulation method. The multivariate wind speed components simulated by the proposed fractal-based method are in good agreement with the measured records in terms of the fractal dimension, standard deviation, probability density function, wind spectrum and cross-correlation coefficient.

Kang Cai et al.

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • CC1: 'Comment on wes-2023-91', Luigi Fortuna, 20 Aug 2023
  • RC1: 'Comment on wes-2023-91', Anonymous Referee #1, 02 Sep 2023
  • RC2: 'Comment on wes-2023-91', Anonymous Referee #2, 05 Sep 2023

Kang Cai et al.

Kang Cai et al.


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Short summary
This paper firstly focuses on determining an appropriate method to estimate the fractal dimensions of fluctuating wind speed series. Then a new fractal-based multivariate simulation method was developed to capture the inherent fractal property and the nonstationary characteristic of typhoon wind speeds, both of which are ignored in the existing simulation methods. Field measurement data of a historical super typhoon was used to demonstrate the accuracy and effectiveness of the proposed methods.