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Fluid Flow Problems with Quaternionic Analysis—An Alternative Conception

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Geometric Algebra Computing

Abstract

This article deals with some classes of fluid flow problems under given initial-value and boundary-value conditions. Using a quaternionic operator calculus, representations of solutions are constructed. For the case of a bounded velocity, a numerically stable semi-discretization procedure for the solution of the problem is presented.

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Author information

Authors and Affiliations

  1. Institut für Mathematik/Physik, Bauhaus-Universität Weimar, Coudraystr. 13B, 99421, Weimar, Germany

    K. Gürlebeck

  2. Fakultaet fuer Mathematik und Informatik, TU Bergakademie Freiberg, Prueferstraße 9, 09596, Freiberg, Germany

    W. Sprößig

Authors
  1. K. Gürlebeck
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  2. W. Sprößig
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Correspondence to W. Sprößig .

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Editors and Affiliations

  1. , CINVESTAV, Unidad Guadalajara, Av. Científica 1145, Colonia el Bajío, Zapopan, 45015, Mexico

    Eduardo Bayro-Corrochano

  2. Inst. Informatik, Universität Leipzig, Leipzig, Germany

    Gerik Scheuermann

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Gürlebeck, K., Sprößig, W. (2010). Fluid Flow Problems with Quaternionic Analysis—An Alternative Conception. In: Bayro-Corrochano, E., Scheuermann, G. (eds) Geometric Algebra Computing. Springer, London. https://doi.org/10.1007/978-1-84996-108-0_17

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  • DOI: https://doi.org/10.1007/978-1-84996-108-0_17

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84996-107-3

  • Online ISBN: 978-1-84996-108-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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