Perspective: Measurements and Analyses of Nonlinear Wave Interactions With Higher-Order Spectral Moments

[+] Author and Article Information
M. R. Hajj

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219

R. W. Miksad

School of Engineering and Applied Science, University of Virginia, Charlottesville, VA 22903

E. J. Powers

Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX 78712

J. Fluids Eng 119(1), 3-13 (Mar 01, 1997) (11 pages) doi:10.1115/1.2819116 History: Received December 29, 1994; Revised March 07, 1996; Online December 04, 2007


In fluid flows, fluid-structure interactions and other fluids-related problem, nonlinear dynamics play an important role in determining the development, response or output. Understanding these dynamics is essential for development of analytical models and prediction and control purposes. Higher-order statistical analysis has been shown to be an effective tool that can be applied to identify nonlinear couplings and measure energy transfer rates. These techniques have been applied by our group and others to investigate transition of shear flows, energy cascading in turbulence, oceanographic and geophysical flows, and fluid-structure interactions. The results of these investigations revealed important nonlinear characteristics regarding these problems. In this paper, we review these techniques and explain their usefulness in identification and quantification of nonlinear dynamics.

Copyright © 1997 by The American Society of Mechanical Engineers
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