Numerical Algorithms

, Volume 66, Issue 1, pp 89–104

Fast solvers for discretized Navier-Stokes problems using vector extrapolation

  • Sebastien Duminil
  • Hassane Sadok
  • David Silvester
Original Paper

DOI: 10.1007/s11075-013-9726-7

Cite this article as:
Duminil, S., Sadok, H. & Silvester, D. Numer Algor (2014) 66: 89. doi:10.1007/s11075-013-9726-7

Abstract

We discuss the design and implementation of a vector extrapolation method for computing numerical solutions of the steady-state Navier-Stokes equation system. We describe a “proof of concept” implementation of vector extrapolation, and we illustrate its effectiveness when integrated into the Incompressible Flow Iterative Solution Software (IFISS) package ( http://www.manchester.ac.uk/ifiss).

Keywords

Navier-Stokes problemVector extrapolationNonlinear systemReduced Rank extrapolationPicard methodNewton method

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Sebastien Duminil
    • 1
  • Hassane Sadok
    • 1
  • David Silvester
    • 2
  1. 1.Laboratoire de Mathématiques Pures et AppliquéesUniversité du LittoralCalaisFrance
  2. 2.School of MathematicsUniversity of ManchesterManchesterUK