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Preconditioner updates applied to CFD model problems

Birken, Philipp
Tebbens, Jurjen Duintjer
Meister, Andreas
Tuma, Miroslav

In the present paper we concentrate on solving sequences of nonsymmetric linear systems with block structure arising from compressible flow problems. We attempt to improve the solution process by sharing part of the computational effort throughout the sequence. This is achieved by application of a cheap updating technique for preconditioners which we adapted in order to be used for our applications. Tested on three benchmark compressible flow problems, the strategy speeds up the entire computation with an acceleration being particularly pronounced in phases of instationary behavior.

Sponsor
The work of the first and third author is supported by the German Science Foundation as part of the Sonderforschungsbereich SFB/TR TRR 30 "Prozessintegrierte Herstellung funktional gradierter Strukturen auf der Grundlage thermo-mechanisch gekoppelter Phänomene", project C2. The work of the second and fourth author is supported by the Program Information Society under project 1ET400300415. The work of the second author is also supported by project number KJB100300703 of the Grant Agency of the Academy of Sciences of the Czech Republic.
Citation
In: Mathematische Schriften Kassel 07, 01 / (2007) , S. ; 
@article{urn:nbn:de:hebis:34-2007022617269,
  author    ={Birken, Philipp and Tebbens, Jurjen Duintjer and Meister, Andreas and Tuma, Miroslav},
  title    ={Preconditioner updates applied to CFD model problems},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2007}
}