Skip to Content

1,075 Results Found

  • Article
  • Open Access
18 Citations
6,343 Views
13 Pages

The three-dimensional free surface characteristics of flow around two equal diameter cylinders in a side-by-side arrangement were studied numerically. The flow fields were simulated with a three-dimensional finite volume method based on the RNG k-ɛ m...

  • Article
  • Open Access
2 Citations
2,358 Views
19 Pages

14 May 2021

The present study numerically investigated the deformation of the free-surface of two-phase fluid flow in a tank which is considered as a simplified blast furnace hearth. Actually, the fluids existing in a blast furnace hearth are gas, slag and hot m...

  • Article
  • Open Access
6 Citations
3,897 Views
15 Pages

4 March 2020

For a water diversion hydropower system with a flat ceiling tail tunnel with high elevation, during transient states with relatively low tail water levels, free-surface-pressurized flow inevitably appears and its transient characteristics have obviou...

  • Article
  • Open Access
4 Citations
2,636 Views
15 Pages

9 February 2021

The mixed free-surface-pressurized flow in the tailrace tunnel of a hydropower station has a great impact on the pressure, velocity, and operation stability of the power station. In the present work, a characteristic implicit method based on the upwi...

  • Article
  • Open Access
1,624 Views
22 Pages

25 January 2024

This article investigates the velocity field of a free-surface flow subjected to harmonic deformation of the channel bottom, progressing asymptotically from a flat initial state to a maximum amplitude. Assuming a uniform main flow with the primary ve...

  • Article
  • Open Access
3 Citations
2,404 Views
17 Pages

8 March 2023

Considering the fact that only pores can transport water, pores in the homogeneous control volume are conceptualized as a three-dimensional orthogonal network of line elements, which is in contrast to the continuum hypothesis in traditional numerical...

  • Article
  • Open Access
272 Views
17 Pages

9 February 2026

Complex hydraulic transients induced during load adjustment of turbine units in long tailrace tunnels pose significant threats to the safety and stability of tailwater systems. In view of this, based on VOF multiphase flow and compressible water&ndas...

  • Article
  • Open Access
6 Citations
2,003 Views
15 Pages

26 September 2022

Investigating the wave hydrodynamics of free-surface flow over rippled bottoms is a continuing concern due to the existence of submarine multiple sandbars and ambient flow in coastal and estuarial areas. More attention to free-surface wave stimulatio...

  • Feature Paper
  • Article
  • Open Access
8 Citations
4,698 Views
22 Pages

17 April 2022

The impact of secondary flows on the flow velocity in open channel bends and confluences was simulated using three-dimensional (3D) numerical models. The Reynolds-averaged Navier–Stokes equation system was utilized as the governing equations an...

  • Article
  • Open Access
3 Citations
3,081 Views
16 Pages

19 February 2024

The moving particle simulation (MPS) method is a simulation technique capable of calculating free surface and incompressible flows. As a particle-based method, MPS requires significant computational resources when simulating flow in a large-scale dom...

  • Review
  • Open Access
13 Citations
4,817 Views
23 Pages

4 February 2019

Two-dimensional free-surface flow past disturbances in an open channel is a classical problem in hydrodynamics—a problem that has received considerable attention over the last two centuries (e.g., see Lamb’s Treatise, 1879). With traces b...

  • Article
  • Open Access
47 Citations
7,390 Views
26 Pages

4 March 2019

The modelling of complex free surface flows over weirs and in the vicinity of bridge piers is presented in a numerical model emulating open channel flow based on the Reynolds Averaged Navier-Stokes (RANS) equations. The importance of handling the tur...

  • Article
  • Open Access
24 Citations
3,966 Views
25 Pages

Modeling free surface flows in a CFD context typically requires an incompressible approach along with a formulation to account for the air–water interface. Commonly, pressure-correction algorithms combined with the Volume of Fluid (VOF) method...

  • Article
  • Open Access
4 Citations
2,284 Views
14 Pages

Lie Symmetry Group for Unsteady Free Convection Boundary-Layer Flow over a Vertical Surface

  • Mina B. Abd-el-Malek,
  • Nagwa A. Badran,
  • Amr M. Amin and
  • Anood M. Hanafy

22 January 2021

The Lie symmetry group transformation method was used to investigate the partial differential equations that model the motion of a natural convective unsteady flow past to a non-isothermal vertical flat surface. The one-parameter Lie group transforma...

  • Article
  • Open Access
2 Citations
2,889 Views
31 Pages

14 October 2022

Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotationality. This success, in conjunction with the recognition that...

  • Article
  • Open Access
2 Citations
2,573 Views
18 Pages

22 November 2022

A fully non-hydrostatic hydrodynamic model is developed to simulate a three-dimensional, incompressible, and viscous free-surface flow passing downstream rigid rectangular and circular cylinders. A direct numerical simulation (DNS) based on the volum...

  • Technical Note
  • Open Access
5 Citations
3,753 Views
15 Pages

23 September 2019

A semi–implicit numerical model with a linear solver is proposed for the free-surface and pressurized mixed flows in hydraulic systems. It solves the two flow regimes within a unified formulation, and is much simpler than existing similar model...

  • Article
  • Open Access
496 Views
19 Pages

8 December 2025

This study investigates the hydraulic transient behavior and optimization of air-vent configurations in the combined tailrace–diversion system of a hydropower station. The inlet flow boundary conditions were derived from the method of character...

  • Article
  • Open Access
23 Citations
7,228 Views
17 Pages

Calibration of the k-ω SST Turbulence Model for Free Surface Flows on Mountain Slopes Using an Experiment

  • Daria Romanova,
  • Oleg Ivanov,
  • Vladimir Trifonov,
  • Nika Ginzburg,
  • Daria Korovina,
  • Boris Ginzburg,
  • Nikita Koltunov,
  • Margarita Eglit and
  • Sergey Strijhak

17 March 2022

We calibrate the k-ωSST turbulence model for free surface flows in the channel or on the slope using machine learning techniques. To calibrate the turbulence model, an experiment is carried out in an inclined rectangular research chute. In the...

  • Article
  • Open Access
7 Citations
5,341 Views
17 Pages

29 June 2019

A Multi-Resolution Weakly Compressible Moving-Particle Semi-Implicit (MR-WC-MPS) method is presented in this paper for simulation of free-surface flows. To reduce the computational costs, as with the multi-grid schemes used in mesh-based methods, the...

  • Article
  • Open Access
8 Citations
3,167 Views
21 Pages

A Prediction–Correction Solver for Real-Time Simulation of Free-Surface Flows in River Networks

  • Dechao Hu,
  • Chengwei Lu,
  • Shiming Yao,
  • Shuai Yuan,
  • Yonghui Zhu,
  • Chengkun Duan and
  • Yi Liu

29 November 2019

A prediction–correction solver is presented here for rapid simulation of free-surface flows in dendritic and looped river networks. Rather than solving a large global algebraic system over the entire domain of river networks, the model solves s...

  • Article
  • Open Access
6,393 Views
11 Pages

Free Surface Flow Simulation by a Viscous Numerical Cylindrical Tank

  • Xingyue Ren,
  • Fangjie Xiong,
  • Ke Qu and
  • Norimi Mizutani

9 May 2019

In order to numerically investigate the free surface flow evolution in a cylindrical tank, a regular structured grid system in the cylindrical coordinates is usually applied to solve control equations based on the incompressible two-phase flow model....

  • Article
  • Open Access
1,561 Views
19 Pages

4 October 2024

The drainage systems of tunnels situated in limestone regions frequently encounter crystallization blockages. Numerous studies have addressed this issue, and their findings identified factors such as the flow velocity and temperature as influencing t...

  • Article
  • Open Access
4 Citations
2,690 Views
14 Pages

A Hybrid Parallel Numerical Model for Wave-Induced Free-Surface Flow

  • Georgios A. Leftheriotis,
  • Iason A. Chalmoukis,
  • Guillermo Oyarzun and
  • Athanassios A. Dimas

4 October 2021

An advanced numerical model is presented for the simulation of wave-induced free-surface flow, utilizing an efficient hybrid parallel implementation. The model is based on the solution of the Navier–Stokes equations using large-eddy simulation of lar...

  • Article
  • Open Access
1 Citations
749 Views
22 Pages

Numerical Simulation and Verification of Free-Surface Flow Through a Porous Medium

  • Perizat Omarova,
  • Alexandr Neftissov,
  • Ilyas Kazambayev,
  • Lalita Kirichenko,
  • Aliya Aubakirova and
  • Aliya Borsikbayeva

11 December 2025

Managing hydraulic behaviour and water quality in semi-arid, transboundary rivers such as the Talas River in Kazakhstan requires reliable numerical tools for predicting free-surface flow through porous hydraulic structures. This study develops and ve...

  • Article
  • Open Access
7 Citations
5,433 Views
23 Pages

PIV Study on Grid-Generated Turbulence in a Free Surface Flow

  • Haoyu Yao,
  • Linlin Cao,
  • Dazhuan Wu,
  • Yangyang Gao,
  • Shijie Qin and
  • Faxin Yu

26 March 2021

To investigate the feature of turbulence developing behind the filter device in a current flow, the flow fields at intermediate downstream distance of an immersed grid in an open water channel are recorded using a two-dimensional (2D) Particle Image...

  • Article
  • Open Access
10 Citations
4,153 Views
14 Pages

Experiments and Simulations of Free-Surface Flow behind a Finite Height Rigid Vertical Cylinder

  • Valentin Ageorges,
  • Jorge Peixinho,
  • Gaële Perret,
  • Ghislain Lartigue and
  • Vincent Moureau

18 October 2021

We present the results of a combined experimental and numerical study of the free-surface flow behind a finite height rigid vertical cylinder. The experiments measure the drag and the wake angle on cylinders of different diameters for a range of velo...

  • Article
  • Open Access
3 Citations
2,884 Views
20 Pages

28 August 2023

In order to reduce the numerical difficulty of the 3D transient free surface flow problems in porous media, a line element method is proposed by dimension reduction. Different from the classical continuum-based methods, homogeneous permeable pores in...

  • Article
  • Open Access
8 Citations
4,177 Views
14 Pages

Photogrammetry for Free Surface Flow Velocity Measurement: From Laboratory to Field Measurements

  • Hang Trieu,
  • Per Bergström,
  • Mikael Sjödahl,
  • J. Gunnar I. Hellström,
  • Patrik Andreasson and
  • Henrik Lycksam

17 June 2021

This study describes a multi-camera photogrammetric approach to measure the 3D velocity of free surface flow. The properties of the camera system and particle tracking velocimetry (PTV) algorithm were first investigated in a measurement of a laborato...

  • Article
  • Open Access
509 Views
19 Pages

28 October 2025

Accurate water hammer calculations are crucial for hydraulic safety and unit stability in hydropower systems with free-surface tailrace tunnels. However, existing models often neglect hydraulic variations in free-surface sections, while the commonly...

  • Article
  • Open Access
6 Citations
4,432 Views
20 Pages

11 April 2023

The research on free surface flow is of great interest in fluid mechanics, with the primary task being the tracking and description of the motion of free surfaces. The development of numerical simulation techniques has led to the application of new m...

  • Article
  • Open Access
6 Citations
3,950 Views
11 Pages

4 September 2022

This research conducts experimental studies on supercavitation bubble development and characteristics within free-surface water and the role of cavitator, comparing the results to those of similar experiments carried on in a duct flow. Tests have bee...

  • Article
  • Open Access
25 Citations
6,596 Views
19 Pages

24 January 2019

Three-dimensional (3D) hydrostatic-pressure-assumption numerical models are widely used for environmental flows with free surfaces and phase interfaces. In this study, a new flow and sediment transport model is developed, aiming to be general and mor...

  • Feature Paper
  • Article
  • Open Access
8 Citations
6,609 Views
36 Pages

Magnetohydrodynamics Solver for a Two-Phase Free Surface Flow Developed in OpenFOAM

  • Victoria Suponitsky,
  • Ivan V. Khalzov and
  • Eldad J. Avital

21 June 2022

A magnetohydrodynamics solver (“mhdCompressibleInterFoam”) has been developed for a compressible two-phase flow with a free surface by extending “compressibleInterFoam” solver within OpenFOAM suite. The primary goal is to deve...

  • Feature Paper
  • Article
  • Open Access
13 Citations
4,072 Views
17 Pages

30 December 2021

This paper presents computational fluid dynamics (CFD) simulations of the flow around a horizontal axis hydrokinetic turbine (HAHT) found in the literature. The volume of fluid (VOF) model implemented in a commercial CFD package (ANSYS-Fluent) is use...

  • Article
  • Open Access
6 Citations
8,580 Views
21 Pages

17 January 2020

This paper aims to bridge the gap in the detailed modelling of flow and sediment process interactions in sewers through the development of a computational fluid dynamics (CFD) model. It draws on previous models developed for surface water sediment tr...

  • Article
  • Open Access
1 Citations
4,136 Views
19 Pages

17 April 2018

The long-wave approximation of a falling film down an inclined plane with constant temperature is used to investigate the volumetric averaged entropy production. The velocity and temperature fields are numerically computed by the evolution equation a...

  • Article
  • Open Access
4 Citations
4,590 Views
27 Pages

Transient free-surface deformations and evolving vortices due to the passage of flows over a submerged cavity are simulated. A two-dimensional stream function–vorticity formulation with a free-surface model is employed. Model results are valida...

  • Article
  • Open Access
452 Views
41 Pages

18 November 2025

This study examines the trapping of linear water waves by an endless structure of stationary, three-dimensional periodic obstacles within a two-layer fluid system. The setup features a lower layer of either limited or unlimited depth, overlaid by an...

  • Article
  • Open Access
3 Citations
5,722 Views
29 Pages

15 February 2020

In this study, the level set (LS) and immersed boundary (IB) methods were integrated into a Navier–Stokes equation two-phase flow solver, to investigate wave-structure interactions and induced motions of floating bodies in two dimensions. The m...

  • Article
  • Open Access
2,415 Views
31 Pages

Defining and Mitigating Flow Instabilities in Open Channels Subjected to Hydropower Operation: Formulations and Experiments

  • Miguel Tavares,
  • Modesto Pérez-Sánchez,
  • Oscar E. Coronado-Hernández,
  • Alban Kuriqi and
  • Helena M. Ramos

26 October 2024

A thorough literature review was conducted on the effects of free surface oscillation in open channels, highlighting the risks of the occurrence of positive and negative surge waves that can lead to overtopping. Experimental analyses were developed t...

  • Review
  • Open Access
13 Citations
7,045 Views
18 Pages

A Review on Methods for Measurement of Free Water Surface

  • Gašper Rak,
  • Marko Hočevar,
  • Sabina Kolbl Repinc,
  • Lovrenc Novak and
  • Benjamin Bizjan

7 February 2023

Turbulent free-surface flows are encountered in several engineering applications and are typically characterized by the entrainment of air bubbles due to intense mixing and surface deformation. The resulting complex multiphase structure of the air&nd...

  • Article
  • Open Access
14 Citations
3,670 Views
17 Pages

9 September 2021

In hydraulic engineering, stilling basin design is traditionally carried out using physical models, conducting visual flow observations as well as point-source measurements of pressure, flow depth, and velocity at locations of design relevance. Point...

  • Article
  • Open Access
38 Citations
9,433 Views
32 Pages

Validation of the GPU-Accelerated CFD Solver ELBE for Free Surface Flow Problems in Civil and Environmental Engineering

  • Christian F. Janßen,
  • Dennis Mierke,
  • Micha Überrück,
  • Silke Gralher and
  • Thomas Rung

This contribution is dedicated to demonstrating the high potential and manifold applications of state-of-the-art computational fluid dynamics (CFD) tools for free-surface flows in civil and environmental engineering. All simulations were performed wi...

  • Article
  • Open Access
7 Citations
3,352 Views
18 Pages

River bends and confluences are critical features in fluvial environments where complex flow patterns, including secondary currents, turbulence, and surface changes, strongly influence sediment transport, river morphology, and water quality. The accu...

  • Article
  • Open Access
4 Citations
3,447 Views
39 Pages

Irrotational Flow over Ogee Spillway Crest: New Solution Method and Flow Geometry Analysis

  • Oscar Castro-Orgaz,
  • Willi H. Hager,
  • Yakun Guo,
  • Sebastien Erpicum and
  • Francisco Nicolás Cantero-Chinchilla

24 September 2024

A spillway is a hydraulic structure of major importance in dam safety, and its current analysis usually involves a hybrid approach combining CFD modeling with experimental research, either using well-known WES design charts or conducting new model ex...

  • Article
  • Open Access
8 Citations
3,661 Views
16 Pages

29 October 2020

Spillways and channel chutes are widely used in hydraulic works. Two kinds of abutment—walls and steps—are usually constructed to dissipate energy; however, they may also cause cavitation at the abutment position. In this study, we used F...

  • Article
  • Open Access
1 Citations
3,928 Views
51 Pages

Coating Flow Near Channel Exit. A Theoretical Perspective

  • Roger E. Khayat and
  • Mohammad Tanvir Hossain

15 October 2020

The planar flow of a steady moving-wall free-surface jet is examined theoretically for moderate inertia and surface tension. The method of matched asymptotic expansion and singular perturbation is used to explore the rich dynamics near the stress sin...

  • Article
  • Open Access
5 Citations
2,561 Views
19 Pages

Measurements of Complex Free Water Surface Topography Using a Photogrammetric Method

  • Žan Pleterski,
  • Marko Hočevar,
  • Benjamin Bizjan,
  • Sabina Kolbl Repinc and
  • Gašper Rak

29 September 2023

This paper presents a photogrammetry-based system for capturing turbulent aerated flow topography in a laboratory environment, especially for complex hydraulic phenomena character-ised by turbulent, non-stationary, and non-homogeneous aerated flows....

  • Article
  • Open Access
6 Citations
2,679 Views
20 Pages

Numerical Analysis of Flow Phenomena in Discharge Object with Siphon Using Lattice Boltzmann Method and CFD

  • Jiří Fürst,
  • Tomáš Halada,
  • Milan Sedlář,
  • Tomáš Krátký,
  • Pavel Procházka and
  • Martin Komárek

22 July 2021

This article presents numerical simulation of flow in the discharge object with the welded siphon and the free water level. The main numerical tool used in this study is the lattice Boltzmann method combined with the Volume-of-Fluid approach and the...

of 22