Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

Journal article (2016)

Authors

X. He Numerical Analysis - EEMCS
Cornelis Vuik Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Preconditioners Two-by-two block systems Incompressible Navier-Stokes equations
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Published Date

2016

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

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.