Wave dispersion in moderate channel turbulence

Pilloton, C.; Lugni, Claudio; Graziani, G.; Fedele, Francesco

doi:10.1038/s41598-023-32978-7

Cited by 1 publication

(1 citation statement)

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“…In recent decades, there has been a rising trend in employing the Navier–Stokes equations and their simplified forms, such as Bousinesque-type equations for simulating wave propagation 26 – 29 . Specifically, solving these equations through the finite volume method has gained prominence as an efficient approach 30 – 35 . This paper introduces a non-hydrostatic numerical model that solves the complete form of the two-dimensional Reynolds-averaged Navier–Stokes equations.…”

Section: Introductionmentioning

confidence: 99%

A non-hydrostatic numerical model for simulating regular wave breaking and surf-swash zone motions

Shirkavand,

Farrahi-Moghaddam

2024

Sci Rep

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In the present study, a non-hydrostatic two-dimensional vertical model has been developed to simulate the breaking of regular waves and surf-swash zone motions on a sloping beach. The objective of the present study was to estimate parameters at depth. The governing equations, based on the pressure-correction projection method, were solved in two main phases. In the initial phase, intermediate velocities were acquired through the resolution of advection–diffusion and explicit dynamic pressure gradient terms within the momentum equations, employing a time-splitting technique. To ensure local momentum conservation and solution monotonicity, modifications were made to the governing equations and the solution approach. In the second phase, through the substitution of intermediate velocities and the corrected pressure gradient term from the momentum equations into the continuity equation, with the elimination of velocities, a Poisson pressure-correction equation was derived. In the discretization stage, an innovation was proposed to compute horizontal velocities at the locations where vertical velocities are present, significantly reducing computational costs. The equation was then converted into a system of linear equations, which was solved implicitly. Comparisons between numerical results and experiments concerning plunging and spilling breakers reveal that the developed model satisfactorily simulates the outcomes.

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