Generating–absorbing sponge layers for phase-resolving wave models

Zhang, Yao; Kennedy, Andrew; Panda, Nishant; Dawson, Clint; Westerink, Joannes J.

doi:10.1016/j.coastaleng.2013.10.019

Cited by 23 publications

(11 citation statements)

References 13 publications

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“…Therefore, while the fully reflective wall boundary condition can be obtained by imposing some symmetric conditions stemming from the satisfaction of : u • n = 0 on the wall line (being n the normal direction to the wall), inflow and outflow boundaries require more complex treatments (cf. [22,23,24,25]).…”

Section: Boundary Conditionsmentioning

confidence: 99%

Modeling analysis of tidal bore formation in convergent estuaries

Filippini¹,

Arpaia²,

Bonneton

et al. 2019

European Journal of Mechanics - B/Fluids

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Despite the recognized impact of tidal bores on estuarine ecosystems, the large scale mechanism of bore formation in convergent alluvial estuaries is still under investigation. So far, field data exist only for a small number of estuaries, while numerical simulations employ the shallow water equations mainly focusing on the small-scale and local processes. In this work, firstly we apply the fully nonlinear weakly dispersive Serre-Green-Naghdi equations to simulate the tide propagation in a convergent estuary of idealized form, verifying that the local dispersion effects, responsible for the appearance of the secondary waves, do not influence the tidal bore onset, which only results from the large scale processes of amplification/damping and distortion of the incoming wave. In

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Section: Boundary Conditionsmentioning

confidence: 99%

Modeling analysis of tidal bore formation in convergent estuaries

Filippini¹,

Arpaia²,

Bonneton

et al. 2019

European Journal of Mechanics - B/Fluids

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“…Regular nonlinear waves were generated in a water depth of 0.4m and propagated downstream to a plane beach with slope cot(α) = 1/35, see figure 1b. In the present model, the wave train is generated using the sponge layer generation/absorption technique of Zhang et al [56]. A Fourier decomposition of the regular nonlinear waves is calculated using the techniques of Fenton [57].…”

Section: Plunging and Spilling Breakersmentioning

confidence: 99%

Simulation of wave phenomena in the nearshore through application of O(μ2) and O(μ4) pressure-Poisson Boussinesq type models

Donahue

Kennedy

Westerink

et al. 2016

Coastal Engineering

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The pressure-Poisson Boussinesq models of Donahue et al. (2014) are extended to the surf zone and tested at O(µ 2) and O(µ 4). This approach resembles a classic Boussinesq-type model with the exception that the dispersive accuracy is obtained through consideration of a Boussinesq-scaled Green-Naghdi type approximation to the nonhydrostatic pressure profile and solved as a solution to the pressure-Poisson equation. The result is a Boussinesq-type model that is similar to the shallow water equations (SWE) with a nonhydrostatic pressure term. This allows for the straightforward modification of established SWE

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“…One journal paper based has been accepted and published (Zhang et al, 2013a), and two more are in various stages of review (Zhang et al, 2013b;Panda et al, 2013). Two more journal papers are to be submitted in the next 1-2 months, dealing with modeling of wave breaking and runup, and on pressure-Poisson Boussinesq theory.…”

Section: Work Completedmentioning

confidence: 99%

Simulation of Wave and Current Processes Using Novel, Phase Resolving Models

Kennedy¹

2013

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Award Number: N00014-13-1-0123 http://www3.nd.edu/~akenned4/ LONG-TERM GOALSThe long term goals of this project are to be able to predict nearshore waves, currents, and sediment transport accurately from >20m water depth through to the shoreline. We would like to accomplish this over as large an area as possible; on the order of tens of km 2 , and to resolve all individual waves. Time periods simulated would be of order hours to days at maximum. We would also like to be able to directly couple these phase-resolving models with non-phase resolving models for integration into larger scale dynamics.

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Generating–absorbing sponge layers for phase-resolving wave models

Cited by 23 publications

References 13 publications

Modeling analysis of tidal bore formation in convergent estuaries

Modeling analysis of tidal bore formation in convergent estuaries

Simulation of wave phenomena in the nearshore through application of O(μ2) and O(μ4) pressure-Poisson Boussinesq type models

Simulation of Wave and Current Processes Using Novel, Phase Resolving Models

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