Fast solvers for discretized Navier-Stokes problems using vector extrapolation

Sebastien Duminil; Hassane Sadok; David Silvester

doi:10.1007/s11075-013-9726-7

Fast solvers for discretized Navier-Stokes problems using vector extrapolation

Sebastien Duminil, Hassane Sadok, David Silvester

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

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). © 2013 Springer Science+Business Media New York.

Original language	English
Pages (from-to)	89-104
Number of pages	15
Journal	Numerical Algorithms
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/s11075-013-9726-7
Publication status	Published - 2014

Keywords

Navier-Stokes problem
Newton method
Nonlinear system
Picard method
Reduced Rank extrapolation
Vector extrapolation

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10.1007/s11075-013-9726-7

http://www.kluweronline.com/issn/1017-1398

Cite this

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title = "Fast solvers for discretized Navier-Stokes problems using vector extrapolation",

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). {\textcopyright} 2013 Springer Science+Business Media New York.",

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AB - 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). © 2013 Springer Science+Business Media New York.

KW - Navier-Stokes problem

KW - Newton method

KW - Nonlinear system

KW - Picard method

KW - Reduced Rank extrapolation

KW - Vector extrapolation

U2 - 10.1007/s11075-013-9726-7

DO - 10.1007/s11075-013-9726-7

M3 - Article

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SP - 89

EP - 104

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 1

ER -

Fast solvers for discretized Navier-Stokes problems using vector extrapolation

Abstract

Keywords

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