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Computation of Nonlinear Free-Surface Flows Using the Method of Fundamental Solutions

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Book cover Software Engineering and Algorithms in Intelligent Systems (CSOC2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 763))

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Abstract

A meshless numerical model for nonlinear free surface water waves is presented in this paper, to demonstrate that the localized method of fundamental solutions (MFS) is a stable, accurate tool for simulating and modeling the nonlinear propagation of gravity waves in the approximation of irrotational, incompressible and the fluid is assumed to be inviscid. Using the fundamental solution of the Laplace equation as the radial basis function, the problem is solved by collocation of boundary points. The present model is a first applied to simulate the generation of monochromatic periodic gravity waves by applying a semi-analytical or semi-numerical method to resolve the nonlinear gravity waves propagation, have verified by different orders of linear problems. As an application we are interested in the mechanisms of the interaction of a rectangular obstacle fixed on the bottom of the numerical wave tank (NWT) in the presence of the waves in order to provide information on attenuation process, and validate the numerical tool that we have developed for the treatment of this problem.

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Authors and Affiliations

  1. Polymer Physics and Critical Phenomena Laboratory, Faculty of Sciences Ben M’sik, University Hassan II, P.O. BOX 7955, Casablanca, Morocco

    Mohamed Loukili, Laila El Aarabi & Soumia Mordane

Authors
  1. Mohamed Loukili
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  2. Laila El Aarabi
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  3. Soumia Mordane
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Corresponding author

Correspondence to Mohamed Loukili .

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Editors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Radek Silhavy

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Loukili, M., El Aarabi, L., Mordane, S. (2019). Computation of Nonlinear Free-Surface Flows Using the Method of Fundamental Solutions. In: Silhavy, R. (eds) Software Engineering and Algorithms in Intelligent Systems. CSOC2018 2018. Advances in Intelligent Systems and Computing, vol 763. Springer, Cham. https://doi.org/10.1007/978-3-319-91186-1_44

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