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Numerische Lösung großer strukturierter DAE-Systeme der chemischen Prozeßsimulation

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • F. Grund

    (Weierstraß-Institut für Angewandte Analysis und Stochastik)

  • T. Michael

    (Weierstraß-Institut für Angewandte Analysis und Stochastik)

  • L. Brüll

    (Bayer AG, Zentrale Forschung)

  • F. Hubbuch

    (Bayer AG, Zentrale Forschung)

  • R. Zeller

    (Cray Research GmbH)

  • J. Borchardt

    (Weierstraß-Institut für Angewandte Analysis und Stochastik)

  • D. Horn

    (Weierstraß-Institut für Angewandte Analysis und Stochastik)

  • H. Sandmann

    (Weierstraß-Institut für Angewandte Analysis und Stochastik)

Abstract

Parallelizable numerical methods for solving large scale DAE systems are developed at the level of differential, nonlinear and linear equations. For this the subsystem-wise structure of the DAE systems based on unit-oriented modelling is explored. Partitionings are used to parallelize waveform relaxation and structured Newton methods. To solve large sparse systems of linear equations special Gaussian elimination methods are used. The algorithms were implemented on CRAY C90 vector computers, as well as on both, moderately parallel CRAY J90 vector computers and massively parallel CRAY T3D machines. The methods were tested using several real life examples.

Suggested Citation

  • F. Grund & T. Michael & L. Brüll & F. Hubbuch & R. Zeller & J. Borchardt & D. Horn & H. Sandmann, 1997. "Numerische Lösung großer strukturierter DAE-Systeme der chemischen Prozeßsimulation," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 91-103, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_9
    DOI: 10.1007/978-3-642-60550-5_9
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