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Numerical simulation of spilled oil by fictitious domain method

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Abstract

Pollution due to spilled oil presents serious natural environment issues. In order to take effective measures against such accidents, the knowledge of behavior of oil in such accidents is urgently required. Although its behavior both offshore and in the surfzone is important, this paper concentrates on the latter problem. A flow field of seawater and spilled oil above and under the beach is simulated numerically in this study. This research effort adopts the Cross model as a constitutive equation for spilled oil. Oil adhesion properties are taken into consideration through a friction type boundary condition prescribed on the surface of spilled oil. Flow equations for respective fluids and boundary conditions between them are unified into a single flow equation to construct a numerical model. The fictitious domain method plays an important role in the unification procedure. Computation becomes rather simple due to unification of equations.

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Author information

Authors and Affiliations

  1. Department of Environmental and Mathematical Sciences, Okayama University, 3-1-1 Tsushima-naka, 700-8530, Okayama, Japan

    Hiroshi Suito

  2. Faculty of Distribution and Logistics Systems, Ryutsu Keizai University, 120 Hirahata, Ryuugasaki, 301-8555, Ibaraki, Japan

    Hideo Kawarada

Authors
  1. Hiroshi Suito
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  2. Hideo Kawarada
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Corresponding author

Correspondence to Hiroshi Suito.

Additional information

This work is partially supported by Showa Shell Sekiyu Foundation for Promotion of Environmental Research.

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Suito, H., Kawarada, H. Numerical simulation of spilled oil by fictitious domain method. Japan J. Indust. Appl. Math. 21, 219 (2004). https://doi.org/10.1007/BF03167472

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  • DOI: https://doi.org/10.1007/BF03167472

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