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High Order Boundary Integral Methods for Viscous Free Surface Flows

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Free Boundaries in Viscous Flows

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 61))

Abstract

This paper describes the use of high order boundary integral techniques for viscous free surface flows. Two approaches are discussed. The first is a coordinate based algorithm using spherical coordinates with up to 4th order representation. The second approach is based on a spectral element formulation allowing arbitrary order approximation with orthogonal polynomials in mapped coordinates.

This work is supported by the National Science Foundation.

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Author information

Authors and Affiliations

  1. Department of Chemical Engineering, University of Illinois, Urbana, Illinois, 61801, USA

    J. J. L. Higdon & C. A. Schnepper

Authors
  1. J. J. L. Higdon
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  2. C. A. Schnepper
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Massachusetts Institute of Technology, Room 66-353, Cambridge, MA, 02139, USA

    Robert A. Brown

  2. Department of Engineering Science and Applied Mathematics, Northwestern University, Evanston, IL, 60208, USA

    Stephen H. Davis

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© 1994 Springer-Verlag New York, Inc.

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Higdon, J.J.L., Schnepper, C.A. (1994). High Order Boundary Integral Methods for Viscous Free Surface Flows. In: Brown, R.A., Davis, S.H. (eds) Free Boundaries in Viscous Flows. The IMA Volumes in Mathematics and its Applications, vol 61. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8413-7_3

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  • DOI: https://doi.org/10.1007/978-1-4613-8413-7_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8415-1

  • Online ISBN: 978-1-4613-8413-7

  • eBook Packages: Springer Book Archive

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