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Multi-phase Flow with Reaction

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 19))

Abstract

In order to study the effects of spilled oil on coastal ecosystem, multiphase flow with reaction is modeled mathematically. In this procedure, Discontinuous Interface Generating Method plays an important role to formulate the decomposition phenomena of oil into water and soluble components. This mathematical model is numerically solved by use of finite difference method and the numerical results are presented.

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References

  • 1. E. Baba and C. Cheong(1999): Effect of Spilled Oil on Exchange of Sea Water over the Sand Beach and Tidal-flat, Proceedings of Workshop on Environmental Fluid Mechanics for Coastal Ecosystems, p. 11, Massachusetts Institute of Technology, USA

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  • 2. G. Duvaut and J. L. Lions, (1976): Inequalities in Mechanics and Physics, Springer-Verlag.

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  • 3. H. Pujita, H. Kawahara and H. Kawarada (1995): Distribution Theoretic Approach to Fictitious Domain Method for Neumann Problems, East-West J. Numer. Math., Vol. 3, No.2, pp.111–126.

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  • 4. R. Glowinski, J.L. Lions and R. Tremolieres (1981): Numerical Analysis of Variational Inequalities, North-Holland publishing Company.

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  • 5. H. Kawarada, H. Fujita and H. Suito (1998): Wave motion Breaking upon the Shore, GAKUTO International Series, Mathematical Sciences and Applications, Vol. 11, pp.145–159.

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  • 6. H. Kawarada and H. Suito (1997): Numerical Method for a Free Surface Flow on the bases of the Fictitious Domain Method, East-West J. Numer. Math., Vol. 5, No. 1, pp.57–66.

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© 2002 Springer-Verlag Berlin Heidelberg

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Kawarada, H., Suito, H. (2002). Multi-phase Flow with Reaction. In: Babuška, I., Ciarlet, P.G., Miyoshi, T. (eds) Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Lecture Notes in Computational Science and Engineering, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56288-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-56288-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42399-7

  • Online ISBN: 978-3-642-56288-4

  • eBook Packages: Springer Book Archive

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