Error Analysis of Multivariate Wind Field Simulated by Interpolation-Enhanced Spectral Representation Method
Publication: Journal of Engineering Mechanics
Volume 146, Issue 6
Abstract
An interpolation-based technique can effectively reduce the computational demand involved in a traditional simulation of the multivariate wind field utilizing the spectral representation method (SRM). However, errors are introduced by interpolation and are propagated to simulated wind samples. This influences the statistics of the simulated samples, which may exhibit a departure from the target. In order to properly reduce these errors, closed-form expressions of the statistical errors introduced by interpolation are derived, including the apparent wave effect of wind. The closed-form solutions are verified by a numerical example. It is shown that the interpolation brings no additional error to the mean value of the simulated wind velocity, but the statistical errors in the cross power spectral density (CPSD) function depend on the interpolation of the decomposed CPSD matrix. Through a parametric analysis, the influence of factors related to the interpolation steps, involving interpolation functions and interpolation intervals, on the statistical errors are further investigated numerically. The results show that the Hermite interpolation is preferable, because it causes smaller statistical errors in the multivariate wind field. Reducing the interpolation interval may decrease statistical errors quickly when the interpolation intervals are rather large, as used in engineering applications.
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Data Availability Statements
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors would like to gratefully acknowledge the support of the Natural Science Foundation of Jiangsu Province (Grant No. BK20190359), the National Natural Science Foundation of China (51722804, and 51908125), the US National Science Foundation (CMMI 1562244 and 1612843), and the National Ten Thousand Talent Program for Young Top-notch Talents (W03070080).
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Journal of Engineering Mechanics
Volume 146 • Issue 6 • June 2020
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©2020 American Society of Civil Engineers.
History
Received: Jan 11, 2019
Accepted: Jan 7, 2020
Published online: Apr 6, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 6, 2020
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