A Spectral Vanishing Viscosity Method for Stabilizing Low-Dimensional Galerkin Systems

Abstract

Low-dimensional flow dynamical systems are susceptible to instabilities after long-time integration. In this paper, we investigate the stability of such two-dimensional models constructed from Karhunen-Loeve expansions for flows past a circular cylinder. We first demonstrate that although the short-term dynamics may be predicted accurately with only a handful of modes retained, instabilities arise after a few hundred vortex shedding cycles. We then propose a dissipative model based on a spectral vanishing viscosity (SVV) diffusion convolution operator as an effective way of stabilizing low-dimensional Galerkin systems.

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Document Details

Document Type
Technical Report
Publication Date
Sep 13, 2002
Accession Number
ADA461766

Entities

People

  • G. E. Karniadakis
  • S. Sirisup

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Galerkin Method
  • Geometry
  • Large Eddy Simulation
  • Mechanical Properties
  • Reynolds Number
  • Three Dimensional
  • Turbulent Mixing
  • Two Dimensional
  • Viscosity

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  • Fluid Dynamics.
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