Accession Number:

ADA461766

Title:

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

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

2002-09-13

Pagination or Media Count:

25.0

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.

Subject Categories:

  • Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE