Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

X He; C Vuik

doi:10.4208/nmtma.2016.m1422

Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

X He, C Vuik

Numerical Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	239-261
Number of pages	23
Journal	Numerical Mathematics: Theory, Methods and Applications
Volume	9
DOIs	https://doi.org/10.4208/nmtma.2016.m1422
Publication status	Published - 2016

Keywords

incompressible Navier-Stokes equations
two-by-two block systems
preconditioners

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10.4208/nmtma.2016.m1422

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title = "Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations",

abstract = "In this paper we explore the performance of the SIMPLER, augmentedLagrangian, {\textquoteleft}grad-div{\textquoteright} preconditioners and their new variants for the two-by-twoblock 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.",

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AU - Vuik, C

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AB - In this paper we explore the performance of the SIMPLER, augmentedLagrangian, ‘grad-div’ preconditioners and their new variants for the two-by-twoblock 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.

KW - incompressible Navier-Stokes equations

KW - two-by-two block systems

KW - preconditioners

U2 - 10.4208/nmtma.2016.m1422

DO - 10.4208/nmtma.2016.m1422

M3 - Article

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VL - 9

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EP - 261

JO - Numerical Mathematics: Theory, Methods and Applications

JF - Numerical Mathematics: Theory, Methods and Applications

ER -

Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

Abstract

Keywords

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