论文标题
使用压缩感测来对vonKármán涡流的有效传感
Efficient Sensing of the von Kármán Vortices Using Compressive Sensing
论文作者
论文摘要
在本文中，我们讨论了对vonKármán涡流的有效测量和分析的压缩传感（CS）的用法和实施。我们考虑两个不同的流场，即圆圈和椭圆形的流场。我们以数字方式解决了$ k-ε$传输方程，以建模这些物体周围的流场。使用阻力的时间序列，$ c_d $，以及升降机，$ C_L $，系数及其傅立叶光谱，我们表明抗压抽样可有效地用于测量和分析vonKármán涡流。我们讨论了样品数量对重建的影响以及在存在vonKármán涡流的流量测量和分析中，使用压缩抽样对经典香农采样的好处。我们评论我们的发现，并指出其可能的使用区域和扩展。我们的结果可以找到许多重要的应用，包括但不限于测量，控制和分析沿海和近海结构，桥梁，空气动力学和Bose-Einstein凝结周围的振动，仅举几例。
In this paper, we discuss the usage and implementation of the compressive sensing (CS) for the efficient measurement and analysis of the von Kármán vortices. We consider two different flow fields, the flow fields around a circle and an ellipse. We solve the governing $k-ε$ transport equations numerically in order to model the flow fields around these bodies. Using the time series of the drag, $C_D$, and the lift, $C_L$, coefficients, and their Fourier spectra, we show that compressive sampling can be effectively used to measure and analyze Von Kármán vortices. We discuss the effects of the number of samples on reconstruction and the benefits of using compressive sampling over the classical Shannon sampling in the flow measurement and analysis where Von Kármán vortices are present. We comment on our findings and indicate their possible usage areas and extensions. Our results can find many important applications including but are not limited to measure, control, and analyze vibrations around coastal and offshore structures, bridges, aerodynamics, and Bose-Einstein condensation, just to name a few.
