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Generation of linear and nonlinear waves in numerical wave tank using clustering technique-volume of fluid method

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Abstract

A two-dimensional (2D) numerical model is developed for the wave simulation and propagation in a wave flume. The fluid flow is assumed to be viscous and incompressible, and the Navier-Stokes and continuity equations are used as the governing equations. The standard k-ɛ model is used to model the turbulent flow. The Navier-Stokes equations are discretized using the staggered grid finite difference method and solved by the simplified marker and cell (SMAC) method. Waves are generated and propagated using a piston type wave maker. An open boundary condition is used at the end of the numerical flume. Some standard tests, such as the lid-driven cavity, the constant unidirectional velocity field, the shearing flow, and the dam-break on the dry bed, are performed to valid the model. To demonstrate the capability and accuracy of the present method, the results of generated waves are compared with available wave theories. Finally, the clustering technique (CT) is used for the mesh generation, and the best condition is suggested.

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Authors and Affiliations

  1. Department of Civil Engineering, Ferdowsi University, Mashhad, 91779-4897, Iran

    H. Saghi

  2. Faculty of Marine Technology, Amirkabir University of Technology, Tehran, 15875-4413, Iran

    M. J. Ketabdari & S. Booshi

Authors
  1. H. Saghi
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  2. M. J. Ketabdari
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  3. S. Booshi
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Correspondence to M. J. Ketabdari.

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Saghi, H., Ketabdari, M.J. & Booshi, S. Generation of linear and nonlinear waves in numerical wave tank using clustering technique-volume of fluid method. Appl. Math. Mech.-Engl. Ed. 33, 1179–1190 (2012). https://doi.org/10.1007/s10483-012-1614-9

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  • DOI: https://doi.org/10.1007/s10483-012-1614-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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