PAMM
Volume 12, Issue 1 pp. 675-676
Section 18
Free Access

A comparison of the efficiency of Rosenbrock and DIRK variants

Hester Bijl, 

Hester Bijl

University of Delft, Department of Aerodynamics & Wind Energy, Kluyverweg 2, 2629 HT Delft, The Netherlands

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Philipp Birken, 

Corresponding Author

Philipp Birken

University of Kassel, Inst. of Mathematics, Heinrich-Plett-Str. 40, 34132 Kassel, Germany

phone +49 561 804 4677, fax +49 561 804 4443, Supported by the DFG as part of the SFB TRR 30, project C2Search for more papers by this author
Andreas Meister, 

Andreas Meister

University of Kassel, Inst. of Mathematics, Heinrich-Plett-Str. 40, 34132 Kassel, Germany

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Alexander van Zuijlen, 

Alexander van Zuijlen

University of Delft, Department of Aerodynamics & Wind Energy, Kluyverweg 2, 2629 HT Delft, The Netherlands

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First published: 03 December 2012
https://doi.org/10.1002/pamm.201210326
Citations: 1

Abstract

We consider the use of DIRK and Rosenbrock schemes for the time integration of unsteady flow problems. Thereby, two variants of solving the linear systems are compared regarding their efficiency, namely a Jacobian-free method versus computing an approximate Jacobian. The Rosenbrock schemes are slow in the Jacobian-free variant, but may be competitive in the other. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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