Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation


Journal Article

The sequential regularization method is a reformulation of the unsteady Navier-Stokes equations from the viewpoint of constrained dynamical systems or the approximate Helmholtz-Hodge projection. In this paper we study the long time behavior of the sequential regularization formulation. We give a uniform-in-time estimate between the solution of the reformulated system and that of the Navier-Stokes equations. We also conduct an error analysis for the temporal discrete system and show that the error bound is independent of time. A couple of long time flow examples are computed to demonstrate this method. © 2008 Society for Industrial and Applied Mathematics.

Full Text

Duke Authors

Cited Authors

  • Lin, P; Liu, JG; Lu, X

Published Date

  • November 5, 2008

Published In

Volume / Issue

  • 31 / 1

Start / End Page

  • 398 - 419

International Standard Serial Number (ISSN)

  • 1064-8275

Digital Object Identifier (DOI)

  • 10.1137/060673722

Citation Source

  • Scopus