Abstract

Vortex identification and visualization are important means to understand the underlying physical mechanism of the flow field. Local vortex identification methods need to combine with the manual selection of the appropriate threshold, which leads to poor robustness. Global vortex identification methods are of high computational complexity and time-consuming. Machine learning methods are related to the size and shape of the flow field, which are weak in versatility and scalability. It cannot be extended and is suitable for flow fields of different sizes. Recently, proposed deep learning methods have long network training time and high computational complexity. Aiming at the above problems, we present a novel vortex identification method based on the Convolutional Neural Networks-Extreme Learning Machine (CNN-ELM). This method transforms the vortex identification problem into a binary classification problem, and can quickly, objectively, and robustly identify vortices from the flow field. A large number of experiments prove the effectiveness of our method, which can improve or supplement the shortcomings of existing methods.

Highlights

  • Vortex is one of the most important characteristics in the flow field, which is figuratively compared to “the tendon of fluid movement” [1], and it plays an important role in many engineering problems

  • In order to solve the above problems, we introduce the method of convolution extreme learning machine and design a complete convolutional extreme learning machine network for vortex identification

  • Four classic metrics were used to measure the performance of each method, including precision, recall, network training time, and running time

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Summary

Introduction

Vortex is one of the most important characteristics in the flow field, which is figuratively compared to “the tendon of fluid movement” [1], and it plays an important role in many engineering problems. The accurate extraction of the vortex is of great significance for the study of the physical mechanism of the complex flow field. Conventional vortex feature extraction methods can be divided into three categories: local methods, global methods [2], and partial local-global hybrid methods [3,4,5,6,7]. The local methods obtain some characteristics based on the physical properties of the flow field. In practical applications, local methods require careful selection of appropriate thresholds to obtain valid results. There are still many false positives and false negatives in local methods [12]

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