270 lines
7.3 KiB
TeX
270 lines
7.3 KiB
TeX
\documentclass[english, 10pt, aspectratio=169]{beamer}
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\useoutertheme{infolines}
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\usecolortheme{whale}
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\usepackage{polyglossia}
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\setmainlanguage{english}
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\usepackage{inter}
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\usepackage{unicode-math}
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\setmathfont[mathrm=sym]{Fira Math}
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\setmonofont[Ligatures=TeX]{Fira Code}
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\usepackage{csquotes}
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\usepackage{siunitx}
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\usepackage[
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backend=biber,
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style=iso-authoryear,
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sorting=nyt,
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]{biblatex}
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\bibliography{library}
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\title[50T block displacement]{Analysis of the displacement of a large concrete block under an extreme wave.}
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\author[Edgar P. Burkhart]{Edgar P. Burkhart \and Stéphane Abadie}
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\institute[SIAME]{Université de Pau et des Pays de l’Adour, E2S-UPPA, SIAME, France}
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\date[2022]{2022}
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\begin{document}
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\maketitle
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\begin{frame}
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\frametitle{Contents}
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\tableofcontents
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\end{frame}
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\section{Contexte}
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\subsection{Block displacement}
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\begin{frame}
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\frametitle{Context}
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\framesubtitle{Block displacement}
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\begin{columns}
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\column{.7\textwidth}
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\begin{itemize}
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\item \citetitle{cox2018extraordinary} \parencite{cox2018extraordinary}
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\item \citetitle{shah2013coastal} \parencite{shah2013coastal}
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\end{itemize}
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\column{.3\textwidth}
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\includegraphics[width=\textwidth]{fig/cox.png}
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\includegraphics[width=\textwidth]{fig/shah.png}
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\end{columns}
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\end{frame}
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\begin{frame}
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\frametitle{Context}
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\framesubtitle{Analytical equations of block displacement}
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\begin{itemize}
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\item \citetitle{nott2003waves} \parencite{nott2003waves}
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\begin{equation}
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u^2\geq\frac{2\left(\frac{\rho_s}{\rho_w}-1\right)ag}{C_d\frac{ac}{b^2}+C_l}
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\end{equation}
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\item \citetitle{nandasena2011reassessment} \parencite{nandasena2011reassessment}
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\begin{equation}
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u^2\geq\frac{2\left(\frac{\rho_s}{\rho_w}-1\right)ag\left(\cos\theta+\frac cb\sin\theta\right)}
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{C_d\frac{c^2}{b^2}+C_l}
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\end{equation}
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\item \citetitle{weiss2015untangling} \parencite{weiss2015untangling}
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\end{itemize}
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\end{frame}
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\subsection{28-02-2017 event}
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\begin{frame}
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\frametitle{Context}
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\framesubtitle{February 28, 2017 event}
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\begin{figure}
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\centering
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\includegraphics[width=.5\textwidth]{fig/artha.jpg}
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\caption{\SI{50}{\tonne} concrete block displaced by a wave onto the crest of the Artha breakwater
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($h=\SI{8}{\m}$).}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{Context}
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\framesubtitle{February 28, 2017 event}
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\begin{columns}
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\column{.6\textwidth}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/ts.pdf}
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\caption{Free surface measured during the extreme wave identified on February 28, 2017 at 17:23 UTC
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($H=\SI{13.9}{\m}$).}
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\end{figure}
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\column{.4\textwidth}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/out_orbitals.pdf}
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\caption{Trajectory of the wave buoy during this particular wave.}
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\end{figure}
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\end{columns}
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\end{frame}
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\section{Results}
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\subsection{Wavelet analysis}
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\begin{frame}
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\frametitle{Wavelet analysis}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/wavelet.pdf}
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\caption{Normalized wavelet power spectrum of rogue waves on February 28, 2017.}
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\end{figure}
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\end{frame}
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\subsection{1D SWASH model}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Reflection study}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/bathy.pdf}
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\caption{Domain 1 studied with a SWASH model (real case).}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Reflection study}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/bathy_nb.pdf}
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\caption{Domain 2 studied with a SWASH model (without breakwater).}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Reflection study}
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\begin{itemize}
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\item 1D model over 2 layers (instability with more layers)
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\item Mesh with \SI{1}{\m} resolution
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\item Spectral boundary condition with buoy spectrum
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\item \SI{4}{\hour} model duration (around 1200 waves)
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\item Model calibrated by \textcite{poncet2021characterization}
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Reflection study}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/maxw.pdf}
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\caption{Free surface calculated by swash with spectral boundary condition at the buoy location. The plot is
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centered on the largest obtained wave.\newline {\itshape Case 1: Real bathymetry; Case 2: simplified bathymetry (no
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breakwater).}}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Wave propagation from the buoy to the breakwater}
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\begin{itemize}
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\item 1D model over 4 layers (instability with more layers)
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\item Mesh with \SI{1}{\m} resolution
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\item Free surface elevation boundary condition with raw buoy data
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Wave propagation from the buoy to the breakwater}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/x.pdf}
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\caption{Propagation of the studied wave from the buoy to the Artha breakwater.}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{1-dimensionnal SWASH model}
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\framesubtitle{Wavelet analysis}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/wavelet_sw.pdf}
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\caption{Wavelet analysis from free surface elevation computed by SWASH along the SWASH domain.}
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\end{figure}
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\end{frame}
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\subsection{2Dv Olaflow model}
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\begin{frame}
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\frametitle{Olaflow model in 2 vertical dimensions}
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\framesubtitle{Study of the hydrodynamic conditions on the breakwater armour}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/aw_t0.pdf}
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\caption{Domain studied with a 2Dv Olaflow model.}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{Olaflow model in 2 vertical dimensions}
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\framesubtitle{Study of the hydrodynamic conditions on the breakwater armour}
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\begin{itemize}
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\item VOF model based on VARANS equations
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\item 2Dv mesh with \SI{50}{\cm} resolution
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\item $k-\omega$ SST turbulence model
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\item Qualitative calibration using photographs
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{Olaflow model in 2 vertical dimensions}
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\framesubtitle{Study of the hydrodynamic conditions on the breakwater armour}
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\begin{figure}
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\centering
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\includegraphics[scale=.75]{fig/U.pdf}
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\caption{Flow velocity computed on the Artha breakwater ($x=\SI{-20}{\m}$); bottom: $z=\SI{5}{\m}$.}
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\end{figure}
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\end{frame}
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\begin{frame}
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\frametitle{Olaflow model in 2 vertical dimensions}
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\framesubtitle{Study of the hydrodynamic conditions on the breakwater armour}
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\begin{itemize}
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\item Flow velocity computed with Olaflow:
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\begin{equation}
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U = \SI{14.5}{\m\per\s}
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\end{equation}
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\item Flow velocity calculated using \textcite{nandasena2011reassessment}:
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\begin{equation}
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U = \SI{19.4}{\m\per\s}
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\end{equation}
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\item \textcite{weiss2015untangling}: time dependency does matter.
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\end{itemize}
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\end{frame}
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\section{Conclusion}
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\begin{frame}
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\frametitle{Conclusion}
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\begin{itemize}
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\item Flow velocity lower than \textcite{nandasena2011reassessment}, in accordance with \textcite{lodhi2020role}
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\item Time dependency matters, in accordance with \textcite{weiss2015untangling}
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\end{itemize}
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\end{frame}
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\appendix
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\section{References}
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\begin{frame}[allowframebreaks]
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\frametitle{References}
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\printbibliography
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\end{frame}
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\end{document}
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