An improved Serre model: Efficient simulation and comparative evaluation

Carmo, José Simão Antunes do; Ferreira, J. A.; Pinto, Luís; Romanazzi, Giuseppe

doi:10.1016/j.apm.2017.12.005

Cited by 11 publications

(4 citation statements)

References 39 publications

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“…Note that a time shift of 0.2 s was needed to match the results at the first station, and this time shift is therefore applied at all stations. As noted in do Carmo et al (2018), this lag is may be explained by the physical difference between the initial condition used in the simulations and the removal of the dam in the experiment of do Carmo et al (1993). All computations agree well with the experiments at the first station ( Figure 5(b)) but overestimate the height of the front wave at the next two stations ( Figures 5(c) and (d)).…”

Section: Dam-break Experiments Of Dosupporting

confidence: 62%

Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model

Papoutsellis

Yates

Simon

et al. 2019

Coastal Engineering

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Two methods to treat wave breaking in the framework of the Hamiltonian formulation of free-surface potential flow are presented, tested, and validated. The first is an extension of Kennedy et al. (2000)'s eddyviscosity approach originally developed for Boussinesq-type wave models. In this approach, an extra term, constructed to conserve the horizontal momentum for waves propagating over a flat bottom, is added in the dynamic free-surface condition. In the second method, a pressure distribution is introduced at the free surface that dissipates wave energy by analogy to a hydraulic jump (Guignard and Grilli, 2001). The modified Hamiltonian systems are implemented using the Hamiltonian Coupled-Mode Theory, in which the velocity potential is represented by a rapidly convergent vertical series expansion. Wave energy dissipation and conservation of horizontal momentum are verified numerically. Comparisons with experimental measurements are presented for the propagation of a breaking dispersive shock wave following a dam break, and then incident regular waves breaking on a mildly sloping beach and over a submerged bar.Keywords: wave breaking, Hamiltonian formulation of water waves, eddyviscosity, fully nonlinear water waves Highlights• Two wave breaking techniques are tested in a fully nonlinear model. • Breaking is implemented by extending the Hamiltonian Coupled-Mode

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Section: Dam-break Experiments Of Dosupporting

confidence: 62%

Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model

Papoutsellis

Yates

Simon

et al. 2019

Coastal Engineering

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show abstract

“…Taking advantage of a solving methodology, which encompasses the Serre and Saint-Venant systems of equations, the wave-breaking strategy detailed in [26] is used, which consists of switching locally from the system of Serre equations to the Saint-Venant equations when the wave is about to break. Breaking is easily incorporated simply by ignoring the contribution of the dispersive terms included in the parameter σ 2 of Equation (3) (see [26] for details).…”

Section: Wave Breaking Strategymentioning

confidence: 99%

“…It is also worth pointing out that for the simulation of more complex problems, such as wave generation by seafloor movement [15], the propagation of waves over uneven bottoms [16,17], the propagation of high-frequency waves resulting from nonlinear interactions and wave-breaking effects [18][19][20], extended forms of Boussinesq and Serre equations have been developed in recent years with improved linear characteristics [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Remarks on the Boundary Conditions for a Serre-Type Model Extended to Intermediate-Waters

Carmo¹,

Simão²

2021

Modelling

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Numerical models are useful tools for studying complex wave–wave and wave–current interactions in coastal areas. They are also very useful for assessing the potential risks of flooding, hydrodynamic actions on coastal protection structures, bathymetric changes along the coast, and scour phenomena on structures’ foundations. In the coastal zone, there are shallow-water conditions where several nonlinear processes occur. These processes change the flow patterns and interact with the moving bottom. Only fully nonlinear models with the addition of dispersive terms have the potential to reproduce all phenomena with sufficient accuracy. The Boussinesq and Serre models have such characteristics. However, both standard versions of these models are weakly dispersive, being restricted to shallow-water conditions. The need to extend them to deeper waters has given rise to several works that, essentially, add more or fewer terms of dispersive origin. This approach is followed here, giving rise to a set of extended Serre equations up to kh ≈ π. Based on the wavemaker theory, it is also shown that for kh > π/10, the input boundary condition obtained for shallow-waters within the Airy wave theory for 2D waves is not valid. A better estimate for the input wave that satisfies a desired value of kh can be obtained considering a geometrical modification of the conventional shape of the classic piston wavemaker by a limited depth θh, with θ≤ 1.0.

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“…For wave generation, FLOW-3D® has the ability to simulate surface waves of regular linear and non-linear propagation, as well as irregular waves. Although linear wave theory [30] has been used in many applications, non-linear wave theories generally offer a significant improvement in accuracy over linear wave theory for greater wave amplitudes [31]. In FLOW-3D®, three theories of non-linear waves are used to generate non-linear waves: (a) Stokes 5 th order wave theory [32], (b) Fourier series method for Stokes and cnoidal waves [33] and (c) McCowan's theory for solitary waves [34].…”

Section: Breakwater Geometrymentioning

confidence: 99%

Performance Assessment of a Semi-Circular Breakwater through CFD Modelling

Gomes

Pinho

Valente³

et al. 2020

JMSE

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Coastal defence works, such as breakwaters, are structures that aim to support the action of waves and dissipate their energy. Therefore, they provide conditions for stabilizing the coast, protecting ports, beaches and other coastal infrastructures and ecosystems. Semicircular breakwaters have been applied in different locations around the world due to their aesthetic advantages and high structural performance. Marine structures are subject to hydrodynamic actions normally estimated through physical models. However, these models are complex to implement, involving high costs and long experimental procedures. Thus, alternative methodologies for studying the hydrodynamic performance of these structures are of great use. This work presents the results of the application of a computational fluid dynamics (CFD) tool to study the stability of a perforated semicircular breakwater, based on a rubble mound foundation. The model was validated against experimental results of the critical weight necessary to resist sliding, taking into account the effects of water depth and different characteristics of the waves. A comparison is made between the perforated and the non-perforated solution in terms of the breakwater’s performance to dissipate wave energy. Dissipation conditions of this energy, in the exposed face, are also evaluated in detail, in order to assess the potential of this structure as a biological refuge for marine species. Both solutions show similar performance in terms of results obtained for the wave reflectivity coefficient. The turbulence dissipation on the exposed face of the perforated breakwater is limited to a region of restricted extension around it, which is advantageous in terms of the passage of species into the breakwater.

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An improved Serre model: Efficient simulation and comparative evaluation

Cited by 11 publications

References 39 publications

Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model

Modelling of depth-induced wave breaking in a fully nonlinear free-surface potential flow model

Remarks on the Boundary Conditions for a Serre-Type Model Extended to Intermediate-Waters

Performance Assessment of a Semi-Circular Breakwater through CFD Modelling

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