On the symmetry of proper orthogonal decomposition modes of a low-aspect-ratio plate

Abstract

In this paper, the symmetry property and corresponding virtual force contribution of the proper orthogonal decomposition (POD) modes are numerically investigated for the low-Reynolds number flows passing over a low-aspect-ratio pitching-plunging plate. It is found that the flow and its POD modes have the same reflectional symmetry about the spanwise central plane. However, about the crossflow central plane, the spatio-temporal flow symmetry results in a change of symmetry pattern every two POD modes, which corresponds to odd or even multiples of the vortex shedding frequency. Based on a wake survey method for virtual forces, the POD modes are further classified into two groups, thrust- and lift-producing modes, respectively. Results have also shown that the distinct symmetry properties of these modes can be used to identify the correlation between the wake structure and the hydrodynamic force production.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 01, 2015
Source ID
10.1063/1.4921843

Entities

People

  • Haibo Dong
  • Zongxian Liang

Organizations

  • Air Force Office of Scientific Research
  • National Science Foundation
  • Office of Naval Research
  • University of Virginia

Tags

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Fluid Mechanics and Fluid Dynamics.