3D SPH modelling of hydraulic jump in a very large channel

Padova, Diana De; Mossa, Michele; Sibilla, Stefano; Torti, Emanuela

doi:10.1080/00221686.2012.736883

Cited by 62 publications

(35 citation statements)

References 30 publications

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“…The shorter domain was chosen to reduce the computational cost without influencing the quality of the numerical solution, as shown by [46] in the case of 2D undular jump simulations. A schematic figure of the problem setup can be seen in Figure 4.…”

Section: Numerical Tests and Resultsmentioning

confidence: 99%

“…The peculiar features of the SPH method used to obtain the present results were described in detail in ( [29,46]): simulations are performed through a Weakly Compressible SPH (WCSPH) approach, in which an artificial compressibility is introduced to solve explicitly in time the equations of motion of an incompressible fluid. As suggested by [58], the reduced value of the speed of sound should result in a numerical Mach number everywhere lower than 0.1 in order to bound the error associated with the adoption of a compressible formulation for the incompressible free-surface water flow to 1%: here, the adopted value of 30 ms −1 guarantees a numerical Mach number everywhere lower than 0.07.…”

Section: Sph Numerical Methodsmentioning

confidence: 99%

“…The alternative of making use of particle-shifting algorithms, such as those developed for Incompressible SPH ( [61] and [62]) and recently extended to WCSPH ( [63,64]) was therefore not followed, also considering the problems which might arise at the jump toe, where physical voids arising from wave breaking and air entrainment may be obliterated by an unsuitable particle shifting. A pressure smoothing procedure is also applied to the difference between the local and the hydrostatic pressure values [46] and contributes to reduce the numerical noise which affects WCSPH owing to high frequency acoustic signals [65]. This approach proved to be effective in SPH analyses of different free-surface flows [29] and constitutes a valid alternative to other methods, such as δ-SPH [66], where a numerical diffusive term for density is added to the continuity equation, or filtering of the high-frequency pressure oscillations ( [67,68]).…”

Section: Sph Numerical Methodsmentioning

confidence: 99%

“…(1) A mixing-length model ( [29,46]), in which µ T = c µ ρl 2 S , where c µ = 0.09, the mixing-length for each particle is evaluated as:…”

Section: Sph Numerical Methodsmentioning

confidence: 99%

“…Federico et al [45] developed a 2D SPH model to enforce inlet and outlet boundary conditions and demonstrated the ability of the SPH method to simulate a hydraulic jump. Chern and Syamsuri [46] displayed the possibility to investigate the effects of a corrugated bed on the hydraulic jump characteristics using SPH. De Padova et al [47] demonstrated the applicability of the SPH technique to the analysis of three-dimensional (3D) hydraulic jumps in a very large channel, where more complex flow patterns appear.…”

Section: Introductionmentioning

confidence: 99%

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SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop

Padova

Mossa

Sibilla

2017

Water

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This paper shows the results of the numerical modelling of the transition from supercritical to subcritical flow at an abrupt drop, which can be characterised by the occurrence of oscillatory flow conditions between two different jump types. Weakly-Compressible Smoothed Particle (WCSPH) model was employed and both an algebraic mixing-length model and a two-equation model were used to represent turbulent stresses. The purpose of this paper is to obtain through the SPH model a deeper understanding of the physical features of a flow, which is, in general, difficult to be reproduced numerically, owing to its unstable character. In particular, the experience already gained in SPH simulations of vorticity-dominated flows allows one to assess the fluctuations of hydrodynamic characteristics of the flow field, (e.g., free surface profile downstream of the jump, velocity, pressure and vorticity). Numerical results showed satisfactory agreement with measurements and most of the peculiar features of the flow were qualitatively and quantitatively reproduced.

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Section: Numerical Tests and Resultsmentioning

confidence: 99%

Section: Sph Numerical Methodsmentioning

confidence: 99%

Section: Sph Numerical Methodsmentioning

confidence: 99%

“…(1) A mixing-length model ( [29,46]), in which µ T = c µ ρl 2 S , where c µ = 0.09, the mixing-length for each particle is evaluated as:…”

Section: Sph Numerical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop

Padova

Mossa

Sibilla

2017

Water

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A finite element/volume method model of the depth‐averaged horizontally 2D shallow water equations

Yoshioka

Unami

Fujihara

2014

Numerical Methods in Fluids

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SUMMARYAnalysis of surface water flows is of central importance in understanding and predicting a wide range of water engineering issues. Dynamics of surface water is reasonably well described using the shallow water equations (SWEs) with the hydrostatic pressure assumption. The SWEs are nonlinear hyperbolic partial differential equations that are in general required to be solved numerically. Application of a simple and efficient numerical model is desirable for solving the SWEs in practical problems. This study develops a new numerical model of the depth‐averaged horizontally 2D SWEs referred to as 2D finite element/volume method (2D FEVM) model. The continuity equation is solved with the conforming, standard Galerkin FEM scheme and momentum equations with an upwind, cell‐centered finite volume method scheme, utilizing the water surface elevation and the line discharges as unknowns aligned in a staggered manner. The 2D FEVM model relies on neither Riemann solvers nor high‐resolution algorithms in order to serve as a simple numerical model. Water at a rest state is exactly preserved in the model. A fully explicit temporal integration is achieved in the model using an efficient approximate matrix inversion method. A series of test problems, containing three benchmark problems and three experiments of transcritical flows, are carried out to assess accuracy and versatility of the model. Copyright © 2014 John Wiley & Sons, Ltd.

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SPH modelling of depth‐limited turbulent open channel flows over rough boundaries

Kazemi

Nichols

Tait

et al. 2016

Numerical Methods in Fluids

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SUMMARYA numerical model based on the smoothed particle hydrodynamics method is developed to simulate depth-limited turbulent open channel flows over hydraulically rough beds. The 2D Lagrangian form of the Navier-Stokes equations is solved, in which a drag-based formulation is used based on an effective roughness zone near the bed to account for the roughness effect of bed spheres and an improved sub-particle-scale model is applied to account for the effect of turbulence. The sub-particle-scale model is constructed based on the mixing-length assumption rather than the standard Smagorinsky approach to compute the eddy-viscosity. A robust in/out-flow boundary technique is also proposed to achieve stable uniform flow conditions at the inlet and outlet boundaries where the flow characteristics are unknown. The model is applied to simulate uniform open channel flows over a rough bed composed of regular spheres and validated by experimental velocity data. To investigate the influence of the bed roughness on different flow conditions, data from 12 experimental tests with different bed slopes and uniform water depths are simulated, and a good agreement has been observed between the model and experimental results of the streamwise velocity and turbulent shear stress. This shows that both the roughness effect and flow turbulence should be addressed in order to simulate the correct mechanisms of turbulent flow over a rough bed boundary and that the presented smoothed particle hydrodynamics model accomplishes this successfully.

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3D SPH modelling of hydraulic jump in a very large channel

Cited by 62 publications

References 30 publications

SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop

SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop

A finite element/volume method model of the depth‐averaged horizontally 2D shallow water equations

SPH modelling of depth‐limited turbulent open channel flows over rough boundaries

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