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A 3D Numerical Scheme for Non-Hydrostatic Flows

Author(s): Francesco Gallerano, Giovanni Cannata, Francesco Lasaponara, Chiara Petrelli

Linked Author(s): Francesco Gallerano

Keywords: 3D model, non-hydrostatic flows, shock-capturing scheme, time dependent coordinate system, pressure-correction method

Abstract: In this paper, three-dimensional simulation of hydrodynamic phenomena (wave refraction, diffraction, shoaling and breaking) are performed by a finite-volume non-hydrostatic and shock-capturing three-dimensional model. The Navier-Stokes equations are solved on a time dependent coordinate system. The solution procedure of the equations of motion is based on a high-order WENO reconstruction procedure and a third order accurate Runge-Kutta (SSPRK) fractional-step method and adopts 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

DOI:

Year: 2017

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