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Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

Published online by Cambridge University Press:  24 May 2016

X. He  and
C. Vuik
X. He*
Affiliation:
Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, the Netherlands
C. Vuik*
Affiliation:
Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, the Netherlands
*
*Corresponding author. Email addresses: X.He-1@tudelft.nl (X. He), C.Vuik@tudelft.nl (C. Vuik)
*Corresponding author. Email addresses: X.He-1@tudelft.nl (X. He), C.Vuik@tudelft.nl (C. Vuik)
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Abstract

In this paper we explore the performance of the SIMPLER, augmented Lagrangian, ‘grad-div’ preconditioners and their new variants for the two-by-two block systems arising in the incompressible Navier-Stokes equations. The lid-driven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem the Reynolds number varies from a low to the limiting number for a laminar flow.

Keywords

65F1065F08incompressible Navier-Stokes equationstwo-by-two block systemspreconditioners
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 9 , Issue 2 , May 2016 , pp. 239 - 261
Copyright
Copyright © Global-Science Press 2016 

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