On the modeling of wave–current interaction using the elliptic mild-slope wave equation

Chen, Wei; Panchang, Vijay; Demirbilek, Zeki

doi:10.1016/j.oceaneng.2005.02.010

Cited by 34 publications

(23 citation statements)

References 36 publications

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“…The RANS-VOF models have been applied to deepwater breaking waves (e.g., Iafrati, 2011;Lubin et al, 2006;Wang et al, 2009a;Xie, 2012), the intermediate depth waves breaking over a submerged object (Lupieri & Contento, 2015), but not current-induced breaking waves. Previous models of wave blocking cannot resolve the wave breaking process directly, e.g., the inviscid potential flow theory-based model (Moreira & Chacaltana, 2015;Moreira & Peregrine, 2012), the surface-following Navier-Stokes equation-based model (Mayer et al, 1998;Wu et al, 2010), the Boussinesq-type model (Chen et al, 1998;Zou et al, 2013), and the mild-slope equation-based model (Chen et al, 2005;Kirby, 1984;Toledo et al, 2016;Touboul et al, 2016). The RANS-VOF model is a more suitable tool for elucidating the underling physics associated with wave breaking and blocking.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of Wave Breaking and Blocking by Spatially Varying Opposing Currents

Chen

Zou

2018

JGR Oceans

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A Reynolds‐Averaged Navier‐Stokes (RANS) flow solver with a Volume of Fluid (VOF) surface capturing scheme is used to investigate wave breaking and blocking due to strong opposing currents. The Shear Stress Transport (SST) k−ω model is modified in order to capture the turbulence properly. The unique capability of the RANS‐VOF model allows us to reveal the distinct features of current‐induced wave breaking and blocking. The limiting wave steepness at breaking onset is reduced considerably by the opposing current from the Stokes' limit for stationary waves. Although the wave height grows faster before breaking under a more rapidly varying current, the maximum height at the breaking onset remains almost the same. The locations of incipient breaking are slightly shifted downstream/upwave by the increased current gradient. It was found that the wave radiation stress alters the mean water level by competing with the pressure gradient arising from the current‐induced surface tilting. The wave set‐down and set‐up is more pronounced for more intensive breakers occurring under a larger incident wave and current gradient. Our model results indicate an undertow‐like change to the current profile due to wave breaking. The turbulence and vorticity generated by the current‐induced breaking wave persist and are advected downstream and interact with those generated by the following wave and current.

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Section: Introductionmentioning

confidence: 99%

Characteristics of Wave Breaking and Blocking by Spatially Varying Opposing Currents

Chen

Zou

2018

JGR Oceans

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“…Besides, these grid-based methods are sometimes relatively time-consuming due to the dynamic re-meshing, and they also suffer numerical diffusions especially in the large deformation of free surfaces. Here it is worth mentioning that more practically oriented simulation works in the tidal bore field have been documented by Chen et al (2005), Zheng et al (2008) and Behera et al (2011).…”

Section: Introductionmentioning

confidence: 99%

SPH modeling of tidal bore scenarios

Liu

Shao

et al. 2014

Nat Hazards

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The paper presented a Smoothed Particle Hydrodynamics (SPH) method to study the three-dimensional (3D) tidal bore scenarios. The SPH method is a mesh free particle modeling technique that can track the large deformation of free surfaces in a straightforward and accurate way. Two benchmark cases of the tidal bore propagation were computed and compared with the experimental results. The first one is related to the undular and breaking bores in a regular open channel and the second one considers the undular bore passing through the contraction of bridge piers. Physical laboratory experiments have also been carried out to validate the numerical investigations. The comparisons of both the free-surface profile and velocity field demonstrated that the SPH technique could provide a very promising tool to simulate tidal bore phenomena in engineering practice. The work is the first to systematically explore the potentials of mesh-free SPH modeling approach in predicting the tidal bore features under 3D flow conditions.

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“…Based on Berkhoff's approach, Chandrasekera and Cheung [9] derived an elliptic refraction-diffraction equation that includes the bottom curvature and slope-squared terms. Based on an elliptic mild-slope equation, Chen et al [10] provided a finite-element model to study the wave-current interaction, where an improved boundary condition (Panchang et al, [11]) was considered.…”

Section: Introductionmentioning

confidence: 99%

Using Fictitious Time Integration Method to Study Wave Propagation Over Arbitrary Bathymetry

2013

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In this study, the fictitious time integration method (FTIM) is applied to investigate wave propagation over an arbitrary bathymetry with measured uncertainty. The FTIM is used to convert the higher-order elliptic mild-slope equation (EMSE) into a FTIM like EMSE (FTIMEMSE). It has the advantage to describe wave transformation from deep water to shallow water region in a large coastal area with numerical efficiency. The validity of the noise resistance for the measured uncertainty of the bathymetry is also studied. In addition, typical examples for waves propagating over an elliptic shoal rest on a horizontal and sloping bottom is presented. It is concluded that the FTIM is robust in the numerical stability and capable of against the noise of the measurement.

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On the modeling of wave–current interaction using the elliptic mild-slope wave equation

Cited by 34 publications

References 36 publications

Characteristics of Wave Breaking and Blocking by Spatially Varying Opposing Currents

Characteristics of Wave Breaking and Blocking by Spatially Varying Opposing Currents

SPH modeling of tidal bore scenarios

Using Fictitious Time Integration Method to Study Wave Propagation Over Arbitrary Bathymetry

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