Smooth and Stepped Converging Spillway Modeling Using the SPH Method

Three-dimensional (3D) simulations using the smoothed particle hydrodynamics (SPH) method were performed for smooth and stepped spillways with converging walls, in order to evaluate the influence of the wall deflection and the step macro-roughness on the main non-aerated flow properties. The simulat...

Full description

Bibliographic Details
Main Authors: Juliana D. Nóbrega, Jorge Matos, Harry E. Schulz, Ricardo B. Canelas
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/14/19/3103
_version_ 1797476428452724736
author Juliana D. Nóbrega
Jorge Matos
Harry E. Schulz
Ricardo B. Canelas
author_facet Juliana D. Nóbrega
Jorge Matos
Harry E. Schulz
Ricardo B. Canelas
author_sort Juliana D. Nóbrega
collection DOAJ
description Three-dimensional (3D) simulations using the smoothed particle hydrodynamics (SPH) method were performed for smooth and stepped spillways with converging walls, in order to evaluate the influence of the wall deflection and the step macro-roughness on the main non-aerated flow properties. The simulations encompassed a 1V:2H sloping spillway, wall convergence angles of 9.9° and 19.3°, and discharges corresponding to skimming flow regime, in the stepped chute. The overall development of the experimental data on flow depths, velocity profiles, and standing wave widths was generally well predicted by the numerical simulations. However, larger deviations in flow depths and velocities were observed close to the upstream end of the chute and close to the pseudo-bottom of the stepped invert, respectively. The results showed that the height and width of the standing waves were significantly influenced by the wall convergence angle and by the macro-roughness of the invert, increasing with a larger wall deflection, and attenuated on the stepped chute. The numerical velocity and vorticity fields, along with the 3D recirculating vortices on the stepped invert, were in line with recent findings on constant width chutes.
first_indexed 2024-03-09T20:58:32Z
format Article
id doaj.art-a427850a813c4a94a55fe1cb46bbfbab
institution Directory Open Access Journal
issn 2073-4441
language English
last_indexed 2024-03-09T20:58:32Z
publishDate 2022-10-01
publisher MDPI AG
record_format Article
series Water
spelling doaj.art-a427850a813c4a94a55fe1cb46bbfbab2023-11-23T22:15:49ZengMDPI AGWater2073-44412022-10-011419310310.3390/w14193103Smooth and Stepped Converging Spillway Modeling Using the SPH MethodJuliana D. Nóbrega0Jorge Matos1Harry E. Schulz2Ricardo B. Canelas3School of Civil and Environmental Engineering, Federal University of Goiás, Goiânia 74605-220, GO, BrazilCivil Engineering Research and Innovation for Sustainability, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisbon, PortugalDepartment of Hydraulics and Sanitation, São Carlos School of Engineering, University of São Paulo, São Carlos 13566-590, SP, BrazilBentley Systems, 1990-208 Lisbon, PortugalThree-dimensional (3D) simulations using the smoothed particle hydrodynamics (SPH) method were performed for smooth and stepped spillways with converging walls, in order to evaluate the influence of the wall deflection and the step macro-roughness on the main non-aerated flow properties. The simulations encompassed a 1V:2H sloping spillway, wall convergence angles of 9.9° and 19.3°, and discharges corresponding to skimming flow regime, in the stepped chute. The overall development of the experimental data on flow depths, velocity profiles, and standing wave widths was generally well predicted by the numerical simulations. However, larger deviations in flow depths and velocities were observed close to the upstream end of the chute and close to the pseudo-bottom of the stepped invert, respectively. The results showed that the height and width of the standing waves were significantly influenced by the wall convergence angle and by the macro-roughness of the invert, increasing with a larger wall deflection, and attenuated on the stepped chute. The numerical velocity and vorticity fields, along with the 3D recirculating vortices on the stepped invert, were in line with recent findings on constant width chutes.https://www.mdpi.com/2073-4441/14/19/3103non-aerated flow regionskimming flowsmooth spillwaysmoothed particle hydrodynamicsstanding wavestepped spillway
spellingShingle Juliana D. Nóbrega
Jorge Matos
Harry E. Schulz
Ricardo B. Canelas
Smooth and Stepped Converging Spillway Modeling Using the SPH Method
Water
non-aerated flow region
skimming flow
smooth spillway
smoothed particle hydrodynamics
standing wave
stepped spillway
title Smooth and Stepped Converging Spillway Modeling Using the SPH Method
title_full Smooth and Stepped Converging Spillway Modeling Using the SPH Method
title_fullStr Smooth and Stepped Converging Spillway Modeling Using the SPH Method
title_full_unstemmed Smooth and Stepped Converging Spillway Modeling Using the SPH Method
title_short Smooth and Stepped Converging Spillway Modeling Using the SPH Method
title_sort smooth and stepped converging spillway modeling using the sph method
topic non-aerated flow region
skimming flow
smooth spillway
smoothed particle hydrodynamics
standing wave
stepped spillway
url https://www.mdpi.com/2073-4441/14/19/3103
work_keys_str_mv AT julianadnobrega smoothandsteppedconvergingspillwaymodelingusingthesphmethod
AT jorgematos smoothandsteppedconvergingspillwaymodelingusingthesphmethod
AT harryeschulz smoothandsteppedconvergingspillwaymodelingusingthesphmethod
AT ricardobcanelas smoothandsteppedconvergingspillwaymodelingusingthesphmethod