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Numerical Simulation of Coastal Flows in Open Multiply-Connected Irregular Domains

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Simulation and Modeling Methodologies, Technologies and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 256))

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Abstract

We develop a numerical method for the simulation of coastal flows in multiply-connected domains with irregular boundaries that may contain both closed and open segments. The governing equations are the shallow-water model. Our method involves splitting of the original nonlinear operator by physical processes and by coordinates. Specially constructed finite-difference approximations provide second-order unconditionally stable schemes that conserve the mass and the total energy of the discrete inviscid unforced shallow-water system, while the potential enstrophy results to be bounded, oscillating in time within a narrow range. This allows numerical simulation of coastal flows adequate both from the mathematical and physical standpoints. Several numerical experiments, including those with complex boundaries, demonstrate the skilfulness of the method.

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Author information

Authors and Affiliations

  1. Centre for Atmospheric Sciences (CCA), National Autonomous University of Mexico (UNAM), Av. Universidad 3000, C.P. 04510, Mexico City, Mexico

    Yuri N. Skiba

  2. Centre for Computing Research (CIC), National Polytechnic Institute (IPN), Av. Juan de Dios Batiz s/n, C.P. 07738, Mexico City, Mexico

    Denis M. Filatov

Authors
  1. Yuri N. Skiba
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  2. Denis M. Filatov
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Corresponding author

Correspondence to Yuri N. Skiba .

Editor information

Editors and Affiliations

  1. Department of Computer Science, Monmouth University, West Long Branch, New Jersey, USA

    Mohammad S. Obaidat

  2. Polytechnic Institute of Setúbal / INSTICC, Setubal, Portugal

    Joaquim Filipe

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  4. Superior School of Technology of Setúbal / IPS, Setúbal, Portugal

    Nuno Pina

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Skiba, Y.N., Filatov, D.M. (2014). Numerical Simulation of Coastal Flows in Open Multiply-Connected Irregular Domains. In: Obaidat, M., Filipe, J., Kacprzyk, J., Pina, N. (eds) Simulation and Modeling Methodologies, Technologies and Applications. Advances in Intelligent Systems and Computing, vol 256. Springer, Cham. https://doi.org/10.1007/978-3-319-03581-9_5

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  • DOI: https://doi.org/10.1007/978-3-319-03581-9_5

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03580-2

  • Online ISBN: 978-3-319-03581-9

  • eBook Packages: EngineeringEngineering (R0)

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