Three-dimensional simulation of horseshoe vortex and local scour around a vertical cylinder using an unstructured finite-volume technique

Zhang, Wei; Zapata, Miguel Uh; Bai, Xiangzhi; Pham-Van-Bang, Damien; Nguyen, Kim Dan

doi:10.1016/j.ijsrc.2019.09.001

Cited by 32 publications

(17 citation statements)

References 32 publications

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“…The numerical method used in this paper extends the work presented in Uh Zapata et al [18], where 3D hydrostatic free-surface flows are calculated by using an unstructured finite-volume method of the second order of accuracy in time and space. The present numerical technique incorporates the solution of the Exner equation as developed by Zhang et al [19] to solve flows with mobile beds by using unstructured grids. This algorithm originality relies on the projection method, unstructured finite-volume method, and the combination between the momentum interpolation method and a flux limiter scheme for convective terms.…”

Section: Methodsmentioning

confidence: 99%

“…The second step (19) and continuity Equation ( 15) yield a 3D Poisson equation for the pressure, which in σ-coordinates is given by the following:…”

Section: Projection Methodsmentioning

confidence: 99%

“…For the proposed morphodynamic model, previous studies have demonstrated that unrealistic bed-slopes may occur [19,30,31]. In particular, mesh distortion appears close to vertical walls, making numerical simulations diverge.…”

Section: Sand-slide Modelmentioning

confidence: 99%

“…Following [35], this flux limiter value is calculated as min(ψ j ) ≤ ψ e−j ≤ max(ψ j ) for all neighbors j. We refer to the work of the present authors [18,19,36,37] for more details about the UFVM for the complete set of equations.…”

Section: Unstructured Finite Volume Discretizationmentioning

confidence: 99%

“…In order to simulate sediment scouring because of wave-structure-sediment interactions, in this paper, we extend a finite volume method based on unstructured grids (UFVM) for free-surface flows, initially developed by Uh Zapata et al [18], to include mobile beds as in [19]. The proposed numerical method can be applied for irregular domains in the horizontal, cases with free-surface, and irregular bathymetry using a σ-coordinate system [20].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Unstructured Finite-Volume Model of Sediment Scouring Due to Wave Impact on Vertical Seawalls

Zapata

Bang

Nguyen

2021

JMSE

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The numerical modeling of sediment transport under wave impact is challenging because of the complex nature of the triple wave–structure–sediment interaction. This study presents three-dimensional numerical modeling of sediment scouring due to non-breaking wave impact on a vertical seawall. The Navier–Stokes–Exner equations are approximated to calculate the full evolution of flow fields and morphodynamic responses. The bed erosion model is based on the van Rijn formulation with a mass-conservative sand-slide algorithm. The numerical solution is obtained by using a projection method and a fully implicit second-order unstructured finite-volume method in a σ-coordinate computational domain. This coordinate system is employed to accurately represent the free-surface elevation and sediment/water interface evolution. Experimental results of the velocity field, surface wave motion, and scour hole formation hole are used to compare and demonstrate the proposed numerical method’s capabilities to model the seawall scour.

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Section: Methodsmentioning

confidence: 99%

“…The second step (19) and continuity Equation ( 15) yield a 3D Poisson equation for the pressure, which in σ-coordinates is given by the following:…”

Section: Projection Methodsmentioning

confidence: 99%

Section: Sand-slide Modelmentioning

confidence: 99%

Section: Unstructured Finite Volume Discretizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Unstructured Finite-Volume Model of Sediment Scouring Due to Wave Impact on Vertical Seawalls

Zapata

Bang

Nguyen

2021

JMSE

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Large eddy simulation of flow around semi-conical piers vertically mounted on the bed

Aghaee-Shalmani

Hakimzadeh

2022

Environ Fluid Mech

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In this paper, details, and results of three-dimensional numerical modeling of flow around the semi-conical piers vertically mounted on the bed in a channel, are presented. For flow simulation, 3-D Navier-Stokes equations are solved numerically using the finite volume method and large eddy simulation (LES). In this study, the semi-conical piers with different side slope angles are tested, and the flow around them is compared with the cylindrical reference pier. Flow structures, vortex shedding behind piers, horseshoe vortices, instantaneous and time-averaged flow structures are presented and discussed. Numerical model results show that the semi-conical piers are eventuated remarkable reduction (up to 25%) in downward flow velocity in the upstream side of the piers, and much more reduction (up to 46%) in bed shear stresses in comparison with the cylindrical pier. Moreover, the model results showed some decrease in vortex shedding frequency for the semi-conical piers compared to the cylindrical pier.We report on numerical results of large eddy simulation of the flow around semi-conical piers with different side slopes. This research is significant because of the effect of these piers on the:reduction of the downward flow and the bed shear stress around the piers.reduction of vortex shedding frequency for the semi-conical piers compared to the cylinder.different behavior of the horseshoe vortices at the upstream compared to the cylinder.

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A review of the state of research on bridge pier scour under combined action of waves and current

Kumar

Afzal

2022

Acta Geophys.

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Three-dimensional simulation of horseshoe vortex and local scour around a vertical cylinder using an unstructured finite-volume technique

Cited by 32 publications

References 32 publications

Unstructured Finite-Volume Model of Sediment Scouring Due to Wave Impact on Vertical Seawalls

Unstructured Finite-Volume Model of Sediment Scouring Due to Wave Impact on Vertical Seawalls

Large eddy simulation of flow around semi-conical piers vertically mounted on the bed

A review of the state of research on bridge pier scour under combined action of waves and current

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