The role of offshore boundary conditions in the uncertainty of numerical prediction of wave overtopping using non-linear shallow water equations

Williams, Hannah; Briganti, Riccardo; Pullen, Tim

doi:10.1016/j.coastaleng.2014.03.003

Cited by 32 publications

(20 citation statements)

References 25 publications

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“…For each test condition, the initial seeding value was randomly altered to produce a different individual wave time series. One-hundred unique time series were generated for each test condition; this number of tests was previously found to be suitable for establishing the variability in q in numerical modelling [25]. These 100 initial seeding values were generated using a random number generator, and were different across each experimental condition.…”

Section: Repetitions With Non-random and Random Seedingmentioning

confidence: 99%

“…It has been observed here that the variation in the overtopping discharge is related to the level of overtopping; therefore, analysis was carried out to quantify further whether the magnitude of variation in the discharge is directly related to the probability of overtopping for the physical model, as found in the analysis of numerical modelling prediction of overtopping in [25], which focussed solely on smooth slope structures.…”

Section: Probability Of Overtoppingmentioning

confidence: 99%

“…Evidence that this plays an important role in the variability of results of numerical models was first given in studies by [23] for the prediction of run-up and [24] for overtopping which used a limited number of tests and waves, but showed that the parameters of overtopping can vary significantly with the seeding used. Subsequent work, using numerical models, by [25,26] carried out an extensive Monte Carlo analysis, and concluded that higher uncertainty was observed in both the overtopping discharge and the individual overtopping volumes when the probability of overtopping was less than 5%, with uncertainty decreasing as overtopping increased. Work by [27] also investigated a similar problem in the study of breakwater failure due to wave-structure interaction.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Experimental Analysis of Wave Overtopping: A New Small Scale Laboratory Dataset for the Assessment of Uncertainty for Smooth Sloped and Vertical Coastal Structures

Williams

Briganti

Romano

et al. 2019

JMSE

Self Cite

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Most physical model tests carried out to quantify wave overtopping are conducted using a wave energy spectrum, which is then used to generate a free surface wave time series at the wave paddle. This method means that an infinite number of time series can be generated, but, due to the expense of running physical models, often only a single time series is considered. The aim of this work is to investigate the variation in the main overtopping measures when multiple wave times series generated from the same spectrum are used. Physical model tests in a flume measuring 15 m (length) by 0.23 m (width) with an operating depth up to 0.22 m were carried out using a stochastic approach on two types of structures (a smooth slope and a vertical wall), and a variety of wave conditions. Results show variation of overtopping discharge, computed by normalising the range of the discharges at a certain wave condition with the maximum value of the discharge in the range up to 10%, when the same wave time series is used, but this range increases to 75% when different time series are used. This variation is found to be of a similar magnitude to both the one found with similar experiments looking at the phenomena in numerical models, and that specified by the confidence bounds in empirical methods.

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Section: Repetitions With Non-random and Random Seedingmentioning

confidence: 99%

Section: Probability Of Overtoppingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental Analysis of Wave Overtopping: A New Small Scale Laboratory Dataset for the Assessment of Uncertainty for Smooth Sloped and Vertical Coastal Structures

Williams

Briganti

Romano

et al. 2019

JMSE

Self Cite

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“…Seed number which decides the time series of waves is fixed when a sensitivity test is conducted. It is important to use the same wave train for the sensitivity analysis since wave train can influence wave overtopping discharge (Williams et al, 2014). The wave direction at 03:20 is NW, which is almost perpendicular direction to the dike.…”

Section: In Situ Measurement Setupmentioning

confidence: 99%

Two-Dimensional Wave Overtopping Calculation Over a Dike in Shallow Foreshore by Swash

Suzuki

Altomare

Verwaest

et al. 2014

Int. Conf. Coastal. Eng.

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In this paper, a numerical wave-flow model SWASH, based on non-linear shallow water equation with nonhydrostatic pressure, is applied to the estimation of wave overtopping over a dike in shallow foreshores. First sensitivity analysis is conducted to see the influence of wave generation, grid size, time window and bottom friction by one-dimensional calculations. After that the SWASH model is validated by comparing results from field measurements in Petten dike in the Netherlands. Due to the stability of the computation, the desired calculation could not be achieved, but an alternative way to calculate wave overtopping including two-dimensional effects is proposed.

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“…By adopting the approach proposed by Fredsøe (1984) and also used by other authors (Briganti et al, 2011;Fredsøe & Deigaard, 1993;Williams, Briganti, & Pullen, 2014), the vertical profile of the horizontal velocity in the wave boundary layer is assumed to be logarithmic…”

Section: Fluid Dynamic Quantitiesmentioning

confidence: 99%

Bottom changes in coastal areas with complex shorelines

Gallerano

Cannata

Scarpone

2017

Engineering Applications of Computational Fluid Mechanics

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A model for the sea-bottom change simulations in coastal areas with complex shorelines is proposed. In deep and intermediate water depths, the hydrodynamic quantities are calculated by numerically integrating the contravariant Boussinesq equations, devoid of Christoffel symbols. In the surf zone, the propagation of the breaking waves is simulated by the nonlinear shallow water equations. The momentum equation is solved inside the turbulent boundary layer in order to calculate intrawave hydrodynamic quantities. An integral formulation for the contravariant suspended sediment advection-diffusion equation is proposed and used for the sea-bottom dynamic simulations. The proposed model is applied to the real case study of Pescara harbor (in Italy). ARTICLE HISTORY

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The role of offshore boundary conditions in the uncertainty of numerical prediction of wave overtopping using non-linear shallow water equations

Cited by 32 publications

References 25 publications

Experimental Analysis of Wave Overtopping: A New Small Scale Laboratory Dataset for the Assessment of Uncertainty for Smooth Sloped and Vertical Coastal Structures

Experimental Analysis of Wave Overtopping: A New Small Scale Laboratory Dataset for the Assessment of Uncertainty for Smooth Sloped and Vertical Coastal Structures

Two-Dimensional Wave Overtopping Calculation Over a Dike in Shallow Foreshore by Swash

Bottom changes in coastal areas with complex shorelines

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