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A new three-dimensional finite-volume non-hydrostatic shock-capturing model for free surface flow

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Abstract

In this paper a new finite-volume non-hydrostatic and shock-capturing three-dimensional model for the simulation of wave-structure interaction and hydrodynamic phenomena (wave refraction, diffraction, shoaling and breaking) is proposed. The model is based on an integral formulation of the Navier-Stokes equations which are solved on a time dependent coordinate system: a coordinate transformation maps the varying coordinates in the physical domain to a uniform transformed space. The equations of motion are discretized by means of a finite-volume shock-capturing numerical procedure based on high order WENO reconstructions. The solution procedure for the equations of motion uses a third order accurate Runge-Kutta (SSPRK) fractional-step method and applies a pressure corrector formulation in order to obtain a divergence-free velocity field at each stage. The proposed model is validated against several benchmark test cases.

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Authors and Affiliations

  1. Department of Civil, Constructional and Environmental Engineering, Sapienza University of Rome, Rome, Italy

    Francesco Gallerano, Giovanni Cannata, Francesco Lasaponara & Chiara Petrelli

Authors
  1. Francesco Gallerano
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  2. Giovanni Cannata
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  3. Francesco Lasaponara
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  4. Chiara Petrelli
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Corresponding author

Correspondence to Giovanni Cannata.

Additional information

Biography: Francesco Gallerano (1953-), Male, Ph. D., Professor

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Gallerano, F., Cannata, G., Lasaponara, F. et al. A new three-dimensional finite-volume non-hydrostatic shock-capturing model for free surface flow. J Hydrodyn 29, 552–566 (2017). https://doi.org/10.1016/S1001-6058(16)60768-0

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  • DOI: https://doi.org/10.1016/S1001-6058(16)60768-0

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