High-order shallow water expansions in free surface flows: Application to steady overflow processes

Castro-Orgaz, Óscar; Cantero-Chinchilla, Francisco N.; Hager, Willi H.

doi:10.1016/j.oceaneng.2022.110717

Cited by 8 publications

(3 citation statements)

References 35 publications

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“…An innovative threshold method based on the so-defined 3D Hole Size (3DHS) analysis was proposed here to study the 3D water flow structures observed over the examined emerging sand bar, obtained by extending the theoretical background of the well-known 2D Hole Size approach [104][105][106][107].…”

Section: Discussionmentioning

confidence: 99%

Three-Dimensional Hole Size (3DHS) Approach for Water Flow Turbulence Analysis over Emerging Sand Bars: Flume-Scale Experiments

Khan

Sharma

Lama

et al. 2022

Water

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The many hydrodynamic implications associated with the geomorphological evolution of braided rivers are still not profoundly examined in both experimental and numerical analyses, due to the generation of three-dimensional turbulence structures around sediment bars. In this experimental research, the 3D velocity fields were measured through an acoustic Doppler velocimeter during flume-scale laboratory experimental runs over an emerging sand bar model, to reproduce the hydrodynamic conditions of real braided rivers, and the 3D Turbulent Kinetic Energy (TKE) components were analyzed and discussed here in detail. Given the three-dimensionality of the examined water flow in the proximity of the experimental bar, the statistical analysis of the octagonal bursting events was applied to analyze and discuss the different flume-scale 3D turbulence structures. The main novelty of this study is the proposal of the 3D Hole Size (3DHS) analysis, used for separating the extreme events observed in the experimental runs from the low-intensity events.

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Section: Discussionmentioning

confidence: 99%

Three-Dimensional Hole Size (3DHS) Approach for Water Flow Turbulence Analysis over Emerging Sand Bars: Flume-Scale Experiments

Khan

Sharma

Lama

et al. 2022

Water

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“…These surface velocity oscillations were produced by the Laplace solver in response to curvature discontinuities in the free surface boundary resulting when assembling Equations ( 28) and ( 29) at the critical point. An expansion of the velocity field near the free surface reveals that (u, w) are functions of the water depth derivatives hx, hxx, hxxx… [6,60]. This explains the observed behaviour during the solution procedure.…”

Section: Flow Over Low Humpsmentioning

confidence: 78%

Analytical Determination of Irrotational Flow Profiles in Open-Channel Transitions

Castro-Orgaz,

Hager

2023

Water

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Transitional free surface flow profiles with a critical point occur with weak vorticity and viscosity effects and thus can be modeled with an irrotational flow approach. Important examples in hydraulic engineering include flow over low obstacles, transition structures in canals, and flow over high spillways. While solving Laplace’s equation is relatively simple, the determination of the unknown free surface and energy head of the flow is challenging. Both hydraulic quantities need to be iterated before solving the Laplace equation. Former models iterated the energy head on a trial-and-error basis, assuming that the linked free surface profile is smooth, i.e., free of waves. The iteration of the free surface for a given head is frequently accomplished using the Newton–Rapshon method, which is difficult for the challenging case of spillway flow, giving no solution in some cases. An alternative method of computing irrotational flow profiles in transitional flows involving a critical point is proposed in this work. The model contains three elements: mapping of Laplace’s equation to directly track the streamlines, determination of the critical point and unknown energy head using a critical flow condition for irrotational flows, and determination of the water surface position using an exact analytical solution. The proposed model is favorably compared with experimental data from different sources and CFD results, indicating a reasonable agreement.

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“…Thus, we alternatively conducted a laboratory-controlled study with a series of unique experiments designed to investigate steady and unsteady open-channel flows with hydraulic jumps interacting with uneven bathymetry, i.e., an instream obstacle. The database provided in this study will enable scientists to validate fluvial models, enhancing the accuracy of free surface flow descriptions under non-hydrostatic and turbulent conditions—both pivotal areas in contemporary research 1 , 2 , 5 – 7 , 13 , 14 , 21 – 23 . While aerated flows were observed in the experiments, they are not within the scope of this study.…”

Section: Data Usagementioning

confidence: 99%

Experiments on hydraulic jumps over uneven bed for turbulent flow modelling validation in river flow and hydraulic structures

Cantero-Chinchilla,

Castro-Orgaz,

Ali

et al. 2024

Sci Data

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This study presents a comprehensive dataset comprising multiple data packages derived from laboratory experiments on steady and unsteady hydraulic jumps interacting with a large-scale Gaussian-shaped bed obstacle in an open-channel flume. The primary objective was to accurately measure the impact of hydraulic jump on the free surface and the bed pressure along the obstacle, ensuring the transferability of the results. A multi-process method was followed: designed experiments were recorded, images were postprocessed, and water level data were digitalized. For steady conditions, the bed pressure along the obstacle were measured by piezometers. The repository data are organized and provided in a single package, supplemented by a second package containing panoramas for each experimental time instant and graphical representations of the data, facilitating rapid evaluation of the outcomes. This study provides versatile data that can be utilized in various ways, particularly for fluvial model validation and studying turbulence-driven phenomena in open-channel flows. The detailed methodology presented herein can contribute to the advancement of enhanced laboratory techniques to study similar flow problems.

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High-order shallow water expansions in free surface flows: Application to steady overflow processes

Cited by 8 publications

References 35 publications

Three-Dimensional Hole Size (3DHS) Approach for Water Flow Turbulence Analysis over Emerging Sand Bars: Flume-Scale Experiments

Three-Dimensional Hole Size (3DHS) Approach for Water Flow Turbulence Analysis over Emerging Sand Bars: Flume-Scale Experiments

Analytical Determination of Irrotational Flow Profiles in Open-Channel Transitions

Experiments on hydraulic jumps over uneven bed for turbulent flow modelling validation in river flow and hydraulic structures

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