Multiple Scale Methods for Stability Analysis of Fluid-Structure Systems.

Abstract

Multiple scale methods, which are based on discrete and continuous reproducing kernels, wavelets, and integral window transforms are developed . In this development, a microscope is constructed with a flexible space-time localized window function which translates and dilates in space and time to cover the entire domain of interest. This microscope can magnify, examine, and record the image of the various scales and frequencies of the response locally within the support of the window function. The degree of magnification will depend on the power of the microscope, a flexible space-scale and time-frequency window function. This complete characterization of the unknown response is performed through the integral window transform. This localization process can be achieved by dilating the flexible multiple-scale window function. The zoom in and zoom out capability of the window function is especially useful in examining complex flow phenomena, such as flow induced vibration, dynamic stability of flow-structure interaction, turbulence structures, and high frequency structural dynamics response.

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Document Details

Document Type
Technical Report
Publication Date
Dec 28, 1993
Accession Number
ADA288917

Entities

People

  • Wing K. Liu

Organizations

  • Northwestern University

Tags

Communities of Interest

  • C4I
  • Space

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Fluid Dynamics
  • Fluid Flow
  • Frequency Bands
  • Hydrodynamics
  • Mathematical Analysis
  • Mechanical Engineering
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Physics Laboratories
  • Three Dimensional

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)
  • Image Processing and Computer Vision.

Technology Areas

  • Space