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Characteristics Incorporated Boundary Element for One-Dimensional Convective Diffusion Problem

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Boundary Elements VIII

Part of the book series: Boundary Elements ((BOUNDARY,volume 8))

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Abstract

The aims of this paper are to present characteristics incorporated a boundary method for solving unsteady convective diffusion problems, and to discuss on a error estimate of the present method. The error estimate is similar to Thomee’s theorem1 which is established to a parabolic equation. The present method is also able to be applied to a nonlinear convective diffusion problem, though this is a boundary method. Numerical results for linear and nonlinear convective diffusion problems is shown.

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Reference

  1. Bramble J.H. and Thomee V. (1972), Semi-discrete Last Squares Methods for a Parabolic Boundary Value Problem, Math. Comput. vol.26, pp.663–648.

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  7. Sakakihara M. and Ikeuchi M. (1985), Characteristics Integration Method for One-Dimensional Initial Value Problem of Convective Diffusion Equation, Numerical Methods in Laminar and Tublent Flow, eds. Taylor C., Olson M.D., Gresho P.M. and Habashi W.G., Pineridg Press, pp.1003–1010.

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Author information

Authors and Affiliations

  1. The Graduate School of Science, Okayama University of Science, Ridai-cho 1-1, Okayama 700, Japan

    M. Sakakihara

Authors
  1. M. Sakakihara
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Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Shinshu University, 500 Wakasato, Nagano 380, Japan

    M. Tanaka

  2. Computational Mechanics Institute, 52 Henstead Road, SO1 2DD, Southampton, UK

    C. A. Brebbia

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© 1986 Springer-Verlag Berlin Heidelberg

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Sakakihara, M. (1986). Characteristics Incorporated Boundary Element for One-Dimensional Convective Diffusion Problem. In: Tanaka, M., Brebbia, C.A. (eds) Boundary Elements VIII. Boundary Elements, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22335-2_25

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  • DOI: https://doi.org/10.1007/978-3-662-22335-2_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22337-6

  • Online ISBN: 978-3-662-22335-2

  • eBook Packages: Springer Book Archive

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