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Numerical studies on the approximation of horizontal diffusion using sigma coordinate system

  • Water Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

In this paper, horizontal diffusion using sigma coordinates was examined numerically. To transform the horizontal diffusion equation, the chain rule was applied twice resulting in extra terms that are cumbersome to treat computationally. Two publisheddirect modifications to the transformed equation were chosen, and numerical solutions using these modified equations are compared to those using the fully transformed equation. Our numerical studies have shown that only the fully transformed equation produces realistic solutions.

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Authors and Affiliations

  1. Applied Mathematics, The University of Adelaide, 5005, Adelaide, SA, Australia

    Jong Wook Lee (Post Graduate Student) & Michael D. Teubner (Senior Lecturer)

  2. United Water International Pty Ltd, GPO Box 1875, 5001, Adelaide, SA, Australia

    John B. Nixon (Senior Research Scientist R & D)

  3. Department of Civil Engineering, Hanyang University, 133-791, Seoul, Korea

    Yong-Sik Cho (Associate Professor)

Authors
  1. Jong Wook Lee
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  2. Michael D. Teubner
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  3. John B. Nixon
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  4. Yong-Sik Cho
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Correspondence to Yong-Sik Cho.

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Lee, J.W., Teubner, M.D., Nixon, J.B. et al. Numerical studies on the approximation of horizontal diffusion using sigma coordinate system. KSCE J Civ Eng 10, 145–149 (2006). https://doi.org/10.1007/BF02823933

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  • DOI: https://doi.org/10.1007/BF02823933

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