Biblio: SPH
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@ -172,6 +172,8 @@ measured data.
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\section{Modelling wave impact on a breakwater}
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\subsection{Introduction}
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Modelling rubble-mound breakwaters such as the Artha breakwater requires
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complex considerations on several aspects. First of all, an accurate of the
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fluid's behavior in the porous armour of the breakwater is necessary. Then,
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@ -180,32 +182,86 @@ Several types of models have been developped that can be used to study breaking
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wave flow on a porous breakwater.
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\subsection{SPH models}
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\subsubsection{Introduction}
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Smoothed-Particle Hydrodynamics (SPH) models rely on a Lagrangian
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representation of the fluid.
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representation of the fluid \parencite{violeau2012fluid}. These models are
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meshless, and work by considering fluids as a collection of particles.
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SPH models have been shown to provide satisfactory results for the modeling of
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turbulent free surface flows \parencite{violeau2007numerical}. Additionnaly,
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\textcite{dalrymple2006numerical} showed that SPH models can be used in small
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scale models of water waves. In this part, literature on modeling flow in
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porous media and the adequate boundary conditions for wave modeling will be
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reviewed.
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\subsubsection{Porosity modelling}
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\cite{jiang2007mesoscale}: Meso-scale SPH model of flow in isotropic porous
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media; randomly placed particles with repulsive force; reasonable results.
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Multiple approaches can be used when modeling porous media using SPH models.
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The most obvious approach relies on the use of discrete elements in the porous
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domain. For instance, \textcite{altomare2014numerical} showed that an SPH model
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along with discrete modeling of the blocks composing a breakwater could yield
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satisfactory results. The meshless character of SPH models allows for modeling
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the large scale outside the porous media and the small scale of the space
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between blocks effectively.
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%\cite{jutzi2008numerical}: not applicable, impacts on solid bodies
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Nevertheless, the more common approach is to use a macro-scale model in porous
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media, in which the porous domain is considered to have a set of homogeneous
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properties.
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\textcite{jiang2007mesoscale} used randomly placed fixed particles in the
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porous media in order to model porosity at a microscopic scale from mesoscopic
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porosity properties. The resulting model showed reliable results in studying
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the flow through porous media.
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\cite{shao2010}: incompressible flow with porous media; Navier-Stokes,
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Volume-Averaged $k-\varepsilon$; porosity model is same as
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\cite{troch1999development} but without inertia term
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\parencite{huang2003structural}
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By contrast, \textcite{shao2010} used volume-averaged Navier-Stokes equations
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along with an averaged porosity model
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\parencite{huang2003structural,burcharth1995one} in an incompressible SPH
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(ISPH) model in order to model wave flow in porous media, accounting for a
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linear and quadratic term in porosity induced friction. Turbulence was modeled
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with a $k-\varepsilon$ volume averaged model. Good agreement was highlighted
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between the results from this model and other models, analytical results and
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experimental measurements for solitary and regular waves interacting with a
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porous breakwater.
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\cite{altomare2014numerical} "microscopic" model of breakwater
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Similarly, \textcite{ren2016improved} presents a weakly-compressible SPH
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(WCSPH) model using the volume averaged Favre averaged Navier-Stokes (VAFANS)
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equations along with a large Eddy simulation (LES, \cite{ren2014numerical})
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turbulence model. Interaction between turbulent flows and porous media is
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studied and good agreement is shown between model results and experimental
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data. Additionnaly, it is highlighted that the addition of the turbulence model
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does increase the accuracy of the model. Similar results are found by
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\textcite{wen2016sph} when studying wave impact on non-porous structures using
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the same model.
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\cite{kunz2016study} comparison of sph model with micro-model experiments
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The same model was then extended to a three-dimensional model by
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\textcite{wen20183d}. The computed free surface and forces on a structure were
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shown to be accurately predicted by the 3D model.
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\textbf{\cite{ren2016improved}} VAFANS equations to solve incompressible
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turbulent flow with porous media. Same porosity model as \cite{shao2010}
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\cite{pahar2016modeling}
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\cite{peng2017multiphase}
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\cite{wen20183d}: 3D VAFANS
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\cite{kazemi2020sph}
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%\paragraph{Notes}
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%
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%\cite{jiang2007mesoscale}: Meso-scale SPH model of flow in isotropic porous
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%media; randomly placed particles with repulsive force; reasonable results.
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%
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%\cite{shao2010}: incompressible flow with porous media; Navier-Stokes,
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%Volume-Averaged $k-\varepsilon$; porosity model is same as
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%\cite{troch1999development} but without inertia term
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%\parencite{huang2003structural}
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%
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%\cite{altomare2014numerical} "microscopic" model of breakwater
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%
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%\cite{kunz2016study} comparison of sph model with micro-model experiments; not
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%quite applicable
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%
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%\textbf{\cite{ren2016improved}} VAFANS equations to solve incompressible
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%turbulent flow with porous media. Same porosity model as \cite{shao2010}
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%
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%\cite{wen2016sph}
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%
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%\cite{pahar2016modeling}
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%\cite{peng2017multiphase}
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%\cite{wen20183d}: 3D VAFANS
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%\cite{kazemi2020sph}
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\subsubsection{Wave generation}
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@ -213,6 +269,8 @@ turbulent flow with porous media. Same porosity model as \cite{shao2010}
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\textbf{\cite{altomare2017long}}
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\cite{wen2018non}
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\subsubsection{Conclusion}
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\subsection{VOF models}
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\subsubsection{Introduction}
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@ -233,16 +291,16 @@ but the representation of turbulence and air-extrusion still required
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improvement.
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\textcite{troch1999development} developed the VOFbreak\textsuperscript{2} model
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in order to provide improvements. The Forchheimer theory
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in order to provide improvements to earlier models. The Forchheimer theory
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\parencite{burcharth1995one} is used in order to model the behavior of the flow
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inside porous media. The hydraulic gradient generated in porous media is
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decomposed as a linear term, a quadratic term, and an inertia term. Those terms
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are ponderated by three coefficients that need to be calibrated. Several
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attempts have been made to obtain analytical formulas for those
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\parencite{burcharth1995one,van1995wave}, but no universal result has been
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provided. \textcite{vieira2021novel} additionnaly proposed using artificial
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neural networks in order to calibrate those values, which are generally
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calibrated using experimental results.
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provided for the inertia term in particular. \textcite{vieira2021novel}
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additionnaly proposed using artificial neural networks in order to calibrate
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those values, which are generally calibrated using experimental results.
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Parallely, \textcite{liu1999numerical} created a new model (COBRAS) that used
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the VOF method. The model is based on the combination of Reynolds averaged
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@ -293,6 +351,8 @@ Nonetheless, the representation of porosity in those models is still mainly
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based on experimental calibration, particularly for the inertia term of
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porosity induced friction.
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\subsection{Conclusion}
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%\paragraph{Notes}
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%
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%\cite{van1995wave,troch1999development}
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@ -318,8 +378,8 @@ porosity induced friction.
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%\cite{vieira2021novel}: Use of artificial neural networks to determine porosity
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%parameter for VOF VARANS model.
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\subsection{Other}
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BEM: \cite{hall1994boundary,koley2020numerical}
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%\subsection{Other}
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%
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%BEM: \cite{hall1994boundary,koley2020numerical}
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\section{Modeling block displacement}
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@ -965,3 +965,52 @@
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publisher={Elsevier}
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}
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@article{dalrymple2006numerical,
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title={Numerical modeling of water waves with the SPH method},
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author={Dalrymple, Robert Anthony and Rogers, BD},
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journal={Coastal engineering},
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volume={53},
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number={2-3},
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pages={141--147},
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year={2006},
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publisher={Elsevier}
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}
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@article{wen2016sph,
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title={A SPH numerical wave basin for modeling wave-structure interactions},
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author={Wen, Hongjie and Ren, Bing and Dong, Ping and Wang, Yongxue},
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journal={Applied Ocean Research},
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volume={59},
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pages={366--377},
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year={2016},
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publisher={Elsevier}
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}
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@book{violeau2012fluid,
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title={Fluid mechanics and the SPH method: theory and applications},
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author={Violeau, Damien},
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year={2012},
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publisher={Oxford University Press}
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}
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@article{violeau2007numerical,
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title={Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview},
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author={Violeau, Damien and Issa, Reza},
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journal={International Journal for Numerical Methods in Fluids},
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volume={53},
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number={2},
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pages={277--304},
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year={2007},
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publisher={Wiley Online Library}
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}
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@article{ren2014numerical,
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title={Numerical simulation of wave interaction with porous structures using an improved smoothed particle hydrodynamic method},
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author={Ren, Bing and Wen, Hongjie and Dong, Ping and Wang, Yongxue},
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journal={Coastal Engineering},
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volume={88},
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pages={88--100},
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year={2014},
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publisher={Elsevier}
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}
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@ -15,11 +15,10 @@
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}
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\title{\interlight\huge M2 Internship\\{\Huge Bibliography review}\\
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\vspace{1em}
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Simulation
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of the breaking wave flow which generated the 50T concrete block displacement
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at the Artha breakwater on February 28, 2017}
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\author{\Large Edgar P. Burkhart\thanks{\email{edgar-pierre.burkhart@etud.univ-pau.fr},
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\vspace{1em} Simulation of the breaking wave flow which generated the 50T
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concrete block displacement at the Artha breakwater on February 28, 2017}
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\author{\Large Edgar P.
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Burkhart\thanks{\email{edgar-pierre.burkhart@etud.univ-pau.fr},
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\email{edgar.burkhart@ens-paris-saclay.fr}.}}
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\affil{Université de Pau et des Pays de l'Adour}
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\affil{École Normale Supérieure Paris-Saclay}
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@ -41,5 +40,6 @@ at the Artha breakwater on February 28, 2017}
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\backmatter
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%\nocite{*}
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\printbibliography
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\defbibnote{bibstyle}{\emph{Bibliographic style: ISO690 Author-Year.}}
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\printbibliography[prenote=bibstyle]
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\end{document}
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