A nonlinear rotational, quasi-2DH, numerical model for spilling wave propagation

Viviano, Antonino; Musumeci, Rosaria Ester; Foti, Enrico

doi:10.1016/j.apm.2014.07.030

Cited by 16 publications

(13 citation statements)

References 36 publications

(83 reference statements)

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“…Equation (30) is considered to be rather simplistic for the estimation of wave diffraction, therefore more sophisticated numerical models could be used instead (e.g., [81][82][83], etc. ).…”

Section: Serviceability Limit State Of a Rubble Mound Breakwatermentioning

confidence: 99%

Optimized Reliability Based Upgrading of Rubble Mound Breakwaters in a Changing Climate

Γαλιατσάτου¹,

Makris²,

Prinos³

2018

JMSE

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The present work aims at presenting an approach on implementing appropriate mitigation measures for the upgrade of rubble mound breakwaters protecting harbors and/or marinas against increasing future marine hazards and related escalating exposure to downtime risks. This approach is based on the reliability analysis of the studied structure coupled with economic optimization techniques. It includes the construction of probability distribution functions for all the stochastic variables of the marine climate (waves, storm surges, and sea level rise) for present and future conditions, the suggestion of different mitigation options for upgrading, the construction of a fault tree providing a logical succession of all events that lead to port downtime for each alternative mitigation option, and conclusively, the testing of a large number of possible alternative geometries for each option. A single solution is selected from the total sample of acceptable geometries for each upgrading concept that satisfy a probabilistic constraint in order to minimize the total costs of protection. The upgrading options considered in the present work include the construction or enhancement of a crown wall on the breakwater crest, the addition of the third layer of rocks above the primary armor layer of the breakwater (combined with crest elements), the attachment of a berm on the primary armor layer, and the construction of a detached low-crested structure in front of the breakwater. The proposed methodology is applied to an indicative rubble mound breakwater with an existing superstructure. The construction of a berm on the existing primary armor layer of the studied breakwater (port of Deauville, France), seems to be advantageous in terms of optimized total costs compared to other mitigation options.

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Section: Serviceability Limit State Of a Rubble Mound Breakwatermentioning

confidence: 99%

Optimized Reliability Based Upgrading of Rubble Mound Breakwaters in a Changing Climate

Γαλιατσάτου¹,

Makris²,

Prinos³

2018

JMSE

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“…Among the main families of closures found in literature we mention the eddy viscosity formulations [52,38,25,42,14], the breaking roller methods [8,50], and the hyperbolic or hybrid approaches [6,47,44,23]. Within the first type of approaches, the eddy viscosity one, the macroscopic dissipation of the energy is modelled by means of explicitly introducing a viscous dissipation term in the momentum, or, alternatively, both in the mass and momentum equations.…”

Section: Introductionmentioning

confidence: 99%

Implementation and Evaluation of Breaking Detection Criteria for a Hybrid Boussinesq Model

2019

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The aim of the present work is to develop a model able to represent the propagation and transformation of waves in nearshore areas. The focus is on the phenomena of wave breaking, shoaling and run-up. These different phenomena are represented through a hybrid approach obtained by the coupling of non-linear Shallow Water equations with the extended Boussinesq equations of Madsen and Sørensen. The novelty is the switch tool between the two modelling equations: a critical free surface Froude criterion. This is based on a physically meaningful new approach to detect wave breaking, which corresponds to the steepening of the wave's crest which turns into a roller. To allow for an appropriate discretization of both types of equations, we consider a finite element Upwind Petrov Galerkin method with a novel limiting strategy, that guarantees the preservation of smooth waves as well as the monotonicity of the results in presence of discontinuities. We provide a detailed discussion of the implementation of the newly proposed detection method, as well as of two other well known criteria which are used for comparison. An extensive benchmarking on several problems involving different wave phenomena and breaking conditions allows to show the robustness of the numerical method proposed, as well as to assess the advantages and limitations of the different detection methods.Implementation and Evaluation of Breaking Detection Criteria for a Hybrid Boussinesq Model are defined via physical arguments, or through some auxiliary evolution model (see e.g.[24] and references therein), and, eventually, adjusted by means of numerical experiments. An alternative to the eddy viscosity type modeling are the roller approaches, that account more explicitly for the large scale effects of vorticity on the mean flow. Finally, the hybrid approaches exploit the properties of hyperbolic conservation laws endowed with an entropy, and model large scale effects of wave breaking with the dissipation of the total energy across shocks arising in shallow water simulations or augment/modify Boussinesq-type equations to include, for example, additional terms caused by the presence of the surface rollers (see cf. [41]). Independently of the chosen closure strategy, some breaking detection criteria is very often required to trigger the onset of wave breaking. In practice it is this criteria that leads to the activation of the closure. As well explained in [33], historically the first detection criteria were based on quantities computed using information over one full phase of the wave. The possibility of performing accurate phase resolved simulations, has led to the necessity of formulating new detection criteria based on local flow features [38,25,42,23]. More specifically, these criteria rely on a wave-by-wave analysis more efficient to program in the context of phase resolved simulations, and providing a physically correct detection of breaking onset and termination, provided that a sufficiently accurate description of the wave profiles is available. In this...

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“…While based on a better physical background, these models still rely on an algebraic ad-hoc definition of a momentum dissipation, and require an appropriate calibration. A more advanced version of these roller models has been proposed in [12], and more recently extended in [83]. These models attempt at accounting for depth variations of some of the physical quantities (eddy viscosity, horizontal velocity), thus going beyond the irrotational hypothesis when computing the vorticity and/or dissipation generated in breaking regions.…”

Section: Introductionmentioning

confidence: 99%

On wave breaking for Boussinesq-type models

Καζολέα¹,

Ricchiuto²

2018

Ocean Modelling

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Abstract:We considers the issue of wave breaking closure for Boussinesq type models, and attempt at providing some more understanding of the sensitivity of some closure approaches to the numerical setup. In particular, we are interested in the potential for mesh refinement, and in quantifying the dissipation mechanism active. Two closure strategies are considered. The first is an eddy viscosity approach following some early work by O. Nwogu in the 90's, and some more recent developments by Zhang and co-workers. In this model, a breaking viscosity is computed starting form a turbulent kinetic energy. The latter is obtained from an ad-hoc partial differential equation, which is solved in parallel with the propagation model. The second approach considered consists in suppressing the dispersive terms in breaking regions. The dissipation of total energy obtained in a shallow water shock is used to model the energy dissipation due to breaking. Due to its simplicity and effectiveness, the second approach has gained substantial attention in the coastal engineering community. Here we propose a systematic comparison of the two approaches, to understand more of their sensitivity w.r.t. the type of propagation model used (weakly or fully nonlinear), to the type of breaking wave being simulated, as well as to understand the mesh dependence of the pointwise results obtained, and in particular the potential for achieving mesh converged simulations. Finally, we provide a quantitative analysis of the dissipation introduced by the two closures for a moving breaking bore.

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A nonlinear rotational, quasi-2DH, numerical model for spilling wave propagation

Cited by 16 publications

References 36 publications

Optimized Reliability Based Upgrading of Rubble Mound Breakwaters in a Changing Climate

Optimized Reliability Based Upgrading of Rubble Mound Breakwaters in a Changing Climate

Implementation and Evaluation of Breaking Detection Criteria for a Hybrid Boussinesq Model

On wave breaking for Boussinesq-type models

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