Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
500114 | Computer Methods in Applied Mechanics and Engineering | 2006 | 17 Pages |
Abstract
In this paper we present a formulation of spectral vanishing viscosity (SVV) for the stabilisation of spectral/hp element methods applied to the solution of the incompressible Navier–Stokes equations. We construct the SVV around a filter with respect to an orthogonal expansions, and prove that this methodology provides a symmetric semi-positive definite SVV operator. After providing a few simple one- and two-dimensional examples to demonstrate the utility of the SVV, we examine how it can be applied to a spectral/hp element discretisation of the Navier–Stokes equations using a velocity correction splitting scheme. We provide three fluid flow examples to help illustrate the pros and cons of this approach on stability and accuracy.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Robert M. Kirby, Spencer J. Sherwin,