Wing-Wake Interaction and its Proper Orthogonal
Decomposition
Zongxian Liang
1
, Haibo Dong
2
and Hui Wan
3
Department of Mechanical & Materials Engineering,
Wright State University, Dayton, OH 45435
Philip Beran
4
Air Force Research Laboratory
AFRL/RBSD, BLDG 146, 2210 EIGHTH ST
WPAFB, OH 45433
Mingjun Wei
5
Department of Mechanical and Aerospace Engineering,
New Mexico State University, Las Cruces, NM 88003
Direct numerical simulation (DNS) of tandem wings in pitching and plunging
motion is conducted. The POD-Galerkin projection for a fixed, high angle of attack flat
plate is performed using two algorithms which differ in the method of pressure processing.
It has shown the importance of pressure correction in terms of the reduced prediction error.
POD on pitching and plunging wings has shown that most of energy (95%) is contained by
the first six modes. However, the first two modes only account for 60% of energy in tandem
wings, in contrast to 80% in the case of single wing. It also shows the effectiveness of POD
method in a system of two-dimensional flapping tandem wings.
Nomenclature
POD base element of velocity
POD base element of pressure
Prediction error
Velocity snapshot
Mean velocity over snapshots
Exact velocity field
Fluctuating velocity field
Mean velocity field
Velocity field predicted by Galerkin projection
Mean pressure over snapshots
1
Ph.D Student, AIAA student member liang.5@wright.edu.
2
Assistant Professor, AIAA senior member, haibo.dong@wright.edu.
3
Research Scientist, AIAA member, hui.wan@wright.edu
4
Principle Aerospace Research Engineer, AIAA associate fellow, Philip.Beran@wpafb.af.mil.
5
Assistant Professor, AIAA senior member, mjwei@nmsu.edu.
28th AIAA Applied Aerodynamics Conference
28 June - 1 July 2010, Chicago, Illinois
AIAA 2010-5084
Copyright © 2010 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.