Technical Papers
May 24, 2023

From Boussinesq-Type to Quasi-3D Models: A Comparative Analysis

Publication: Journal of Hydraulic Engineering
Volume 149, Issue 8

Abstract

By comparing model results from tests of steady and oscillatory flows over a submerged bar (of interest for both riverine and marine environments), we highlight similarities and differences between a state-of-the-art Boussinesq model and a recently developed non-hydrostatic, quasi-three-dimensional (3D) model. To make the comparison as clean as possible, the complexities due to breaking-induced turbulence are avoided by suitably tuning the flow strength. Although the main flow features are similarly described by the two models, the non-hydrostatic model predicts the occurrence of extra, small-scale stationary oscillations on top of a submerged obstacle in the case of a steady current. This is attributed to a pattern of alternating upward and downward vertical velocity over the sill top, presumably due to rapidly converging flows as they climb over the submerged obstacle. The non-hydrostatic model overall allows for a more complete representation of flow dynamics in the vertical direction, with respect to the Boussinesq-type solver. This becomes necessary when tackling fundamental and applicative problems characterized by intense vertical flows (e.g., interactions of fluids with structures).

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Data Availability Statement

The output of the numerical simulations that support the findings of this study are available from the corresponding author upon reasonable request. The numerical model FUNWAVE-TVD is open source and freely downloadable at the following web page: https://github.com/fengyanshi/FUNWAVE-TVD.

Acknowledgments

Funding from the Italian Ministro dell’Istruzione, dell’Università e della Ricerca (MIUR) through the project FUNBREAK MIUR-PRIN2017 (Code No. 20172B7MY9) and from the Royal Society through the project “The evolution of the boundary between turbulent and irrotational flow in spilling breaking waves” (Code No. IESnR2n202095) is acknowledged. We would like to thank the two anonymous reviewers, whose comments improved the manuscript.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 149Issue 8August 2023

History

Received: Sep 17, 2022
Accepted: Mar 30, 2023
Published online: May 24, 2023
Published in print: Aug 1, 2023
Discussion open until: Oct 24, 2023

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Postdoctoral Researcher, Dipartimento di Ingegneria Civile, Edile e Architettura, Università Politecnica delle Marche, via Brecce Bianche 12, Ancona 60131, Italy (corresponding author). ORCID: https://orcid.org/0000-0001-8806-4241. Email: [email protected]
Matteo Antuono, Ph.D. [email protected]
Senior Researcher, Institute of Marine Engineering, National Research Council, via di Vallerano 139, Rome 00128, Italy. Email: [email protected]
Maurizio Brocchini, Ph.D. [email protected]
Full Professor of Hydraulics and Fluid Mechanics, Dipartimento di Ingegneria Civile, Edile e Architettura, Università Politecnica delle Marche, via Brecce Bianche 12, Ancona 60131, Italy. Email: [email protected]

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  • Full Nonlinearity in Weakly Dispersive Boussinesq Models: Luxury or Necessity, Journal of Hydraulic Engineering, 10.1061/JHEND8.HYENG-13718, 150, 1, (2024).

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