diff --git a/defence/fig/U.pdf b/defence/fig/U.pdf new file mode 100644 index 0000000..f7ce199 Binary files /dev/null and b/defence/fig/U.pdf differ diff --git a/workshop/fig/artha.jpg b/defence/fig/artha.jpg similarity index 100% rename from workshop/fig/artha.jpg rename to defence/fig/artha.jpg diff --git a/workshop/fig/aw_t0.pdf b/defence/fig/aw_t0.pdf similarity index 52% rename from workshop/fig/aw_t0.pdf rename to defence/fig/aw_t0.pdf index e2d2872..3837175 100644 Binary files a/workshop/fig/aw_t0.pdf and b/defence/fig/aw_t0.pdf differ diff --git a/workshop/fig/bathy.pdf b/defence/fig/bathy.pdf similarity index 100% rename from workshop/fig/bathy.pdf rename to defence/fig/bathy.pdf diff --git a/workshop/fig/bathy_nb.pdf b/defence/fig/bathy_nb.pdf similarity index 100% rename from workshop/fig/bathy_nb.pdf rename to defence/fig/bathy_nb.pdf diff --git a/workshop/fig/cox.png b/defence/fig/cox.png similarity index 100% rename from workshop/fig/cox.png rename to defence/fig/cox.png diff --git a/workshop/fig/maxw.pdf b/defence/fig/maxw.pdf similarity index 54% rename from workshop/fig/maxw.pdf rename to defence/fig/maxw.pdf index bee6533..81a2b7e 100644 Binary files a/workshop/fig/maxw.pdf and b/defence/fig/maxw.pdf differ diff --git a/defence/fig/out_orbitals.pdf b/defence/fig/out_orbitals.pdf new file mode 100644 index 0000000..8c32d65 Binary files /dev/null and b/defence/fig/out_orbitals.pdf differ diff --git a/workshop/fig/shah.png b/defence/fig/shah.png similarity index 100% rename from workshop/fig/shah.png rename to defence/fig/shah.png diff --git a/defence/fig/ts.pdf b/defence/fig/ts.pdf new file mode 100644 index 0000000..2334f1e Binary files /dev/null and b/defence/fig/ts.pdf differ diff --git a/defence/fig/wavelet.pdf b/defence/fig/wavelet.pdf new file mode 100644 index 0000000..b000874 Binary files /dev/null and b/defence/fig/wavelet.pdf differ diff --git a/defence/fig/wavelet_sw.pdf b/defence/fig/wavelet_sw.pdf new file mode 100644 index 0000000..51c1593 Binary files /dev/null and b/defence/fig/wavelet_sw.pdf differ diff --git a/workshop/fig/x.pdf b/defence/fig/x.pdf similarity index 100% rename from workshop/fig/x.pdf rename to defence/fig/x.pdf diff --git a/workshop/library.bib b/defence/library.bib similarity index 99% rename from workshop/library.bib rename to defence/library.bib index be87f84..7bddd1e 100644 --- a/workshop/library.bib +++ b/defence/library.bib @@ -1192,3 +1192,12 @@ publisher={Multidisciplinary Digital Publishing Institute} } +@article{dysthe2008, + title={Oceanic rogue waves}, + author={Dysthe, Kristian and Krogstad, Harald E and M{\"u}ller, Peter}, + journal={Annu. Rev. Fluid Mech.}, + volume={40}, + pages={287--310}, + year={2008}, + publisher={Annual Reviews} +} diff --git a/defence/main.tex b/defence/main.tex new file mode 100644 index 0000000..8769ead --- /dev/null +++ b/defence/main.tex @@ -0,0 +1,270 @@ +\documentclass[english, 10pt, aspectratio=169]{beamer} +\useoutertheme{infolines} +\usecolortheme{whale} + +\usepackage{polyglossia} +\setmainlanguage{english} + +\usepackage{inter} +\usepackage{unicode-math} +\setmathfont[mathrm=sym]{Fira Math} +\setmonofont[Ligatures=TeX]{Fira Code} +\usepackage{csquotes} +\usepackage{siunitx} + +\usepackage[ + backend=biber, + style=iso-authoryear, + sorting=nyt, +]{biblatex} +\bibliography{library} + +\title[50T block displacement]{Analysis of the displacement of a large concrete block under an extreme wave.} +\author[Edgar P. Burkhart]{Edgar P. Burkhart \and Stéphane Abadie} +\institute[SIAME]{Université de Pau et des Pays de l’Adour, E2S-UPPA, SIAME, France} +\date[2022]{2022} + +\begin{document} +\maketitle + +\begin{frame} + \frametitle{Contents} + \tableofcontents +\end{frame} + +\section{Contexte} +\subsection{Block displacement} +\begin{frame} + \frametitle{Context} + \framesubtitle{Block displacement} + + \begin{columns} + \column{.7\textwidth} + \begin{itemize} + \item \citetitle{cox2018extraordinary} \parencite{cox2018extraordinary} + \item \citetitle{shah2013coastal} \parencite{shah2013coastal} + \end{itemize} + + \column{.3\textwidth} + \includegraphics[width=\textwidth]{fig/cox.png} + \includegraphics[width=\textwidth]{fig/shah.png} + \end{columns} +\end{frame} + +\begin{frame} + \frametitle{Context} + \framesubtitle{Analytical equations of block displacement} + + \begin{itemize} + \item \citetitle{nott2003waves} \parencite{nott2003waves} + \begin{equation} + u^2\geq\frac{2\left(\frac{\rho_s}{\rho_w}-1\right)ag}{C_d\frac{ac}{b^2}+C_l} + \end{equation} + \item \citetitle{nandasena2011reassessment} \parencite{nandasena2011reassessment} + \begin{equation} + u^2\geq\frac{2\left(\frac{\rho_s}{\rho_w}-1\right)ag\left(\cos\theta+\frac cb\sin\theta\right)} + {C_d\frac{c^2}{b^2}+C_l} + \end{equation} + \item \citetitle{weiss2015untangling} \parencite{weiss2015untangling} + \end{itemize} +\end{frame} + +\subsection{28-02-2017 event} +\begin{frame} + \frametitle{Context} + \framesubtitle{February 28, 2017 event} + + \begin{figure} + \centering + \includegraphics[width=.5\textwidth]{fig/artha.jpg} + \caption{\SI{50}{\tonne} concrete block displaced by a wave onto the crest of the Artha breakwater + ($h=\SI{8}{\m}$).} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{Context} + \framesubtitle{February 28, 2017 event} + + \begin{columns} + \column{.6\textwidth} + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/ts.pdf} + \caption{Free surface measured during the extreme wave identified on February 28, 2017 at 17:23 UTC + ($H=\SI{13.9}{\m}$).} + \end{figure} + + \column{.4\textwidth} + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/out_orbitals.pdf} + \caption{Trajectory of the wave buoy during this particular wave.} + \end{figure} + \end{columns} +\end{frame} + +\section{Results} +\subsection{Wavelet analysis} +\begin{frame} + \frametitle{Wavelet analysis} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/wavelet.pdf} + \caption{Normalized wavelet power spectrum of rogue waves on February 28, 2017.} + \end{figure} +\end{frame} + +\subsection{1D SWASH model} +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Reflection study} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/bathy.pdf} + \caption{Domain 1 studied with a SWASH model (real case).} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Reflection study} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/bathy_nb.pdf} + \caption{Domain 2 studied with a SWASH model (without breakwater).} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Reflection study} + + \begin{itemize} + \item 1D model over 2 layers (instability with more layers) + \item Mesh with \SI{1}{\m} resolution + \item Spectral boundary condition with buoy spectrum + \item \SI{4}{\hour} model duration (around 1200 waves) + \item Model calibrated by \textcite{poncet2021characterization} + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Reflection study} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/maxw.pdf} + \caption{Free surface calculated by swash with spectral boundary condition at the buoy location. The plot is + centered on the largest obtained wave.\newline {\itshape Case 1: Real bathymetry; Case 2: simplified bathymetry (no + breakwater).}} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Wave propagation from the buoy to the breakwater} + + \begin{itemize} + \item 1D model over 4 layers (instability with more layers) + \item Mesh with \SI{1}{\m} resolution + \item Free surface elevation boundary condition with raw buoy data + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Wave propagation from the buoy to the breakwater} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/x.pdf} + \caption{Propagation of the studied wave from the buoy to the Artha breakwater.} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{1-dimensionnal SWASH model} + \framesubtitle{Wavelet analysis} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/wavelet_sw.pdf} + \caption{Wavelet analysis from free surface elevation computed by SWASH along the SWASH domain.} + \end{figure} +\end{frame} + +\subsection{2Dv Olaflow model} +\begin{frame} + \frametitle{Olaflow model in 2 vertical dimensions} + \framesubtitle{Study of the hydrodynamic conditions on the breakwater armour} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/aw_t0.pdf} + \caption{Domain studied with a 2Dv Olaflow model.} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{Olaflow model in 2 vertical dimensions} + \framesubtitle{Study of the hydrodynamic conditions on the breakwater armour} + + \begin{itemize} + \item VOF model based on VARANS equations + \item 2Dv mesh with \SI{50}{\cm} resolution + \item $k-\omega$ SST turbulence model + \item Qualitative calibration using photographs + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Olaflow model in 2 vertical dimensions} + \framesubtitle{Study of the hydrodynamic conditions on the breakwater armour} + + \begin{figure} + \centering + \includegraphics[scale=.75]{fig/U.pdf} + \caption{Flow velocity computed on the Artha breakwater ($x=\SI{-20}{\m}$); bottom: $z=\SI{5}{\m}$.} + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{Olaflow model in 2 vertical dimensions} + \framesubtitle{Study of the hydrodynamic conditions on the breakwater armour} + + \begin{itemize} + \item Flow velocity computed with Olaflow: + \begin{equation} + U = \SI{14.5}{\m\per\s} + \end{equation} + \item Flow velocity calculated using \textcite{nandasena2011reassessment}: + \begin{equation} + U = \SI{19.4}{\m\per\s} + \end{equation} + \item \textcite{weiss2015untangling}: time dependency does matter. + \end{itemize} +\end{frame} + +\section{Conclusion} +\begin{frame} + \frametitle{Conclusion} + + \begin{itemize} + \item Flow velocity lower than \textcite{nandasena2011reassessment}, in accordance with \textcite{lodhi2020role} + \item Time dependency matters, in accordance with \textcite{weiss2015untangling} + \end{itemize} +\end{frame} + +\appendix +\section{References} +\begin{frame}[allowframebreaks] + \frametitle{References} + + \printbibliography +\end{frame} +\end{document} diff --git a/workshop/fig/U.pdf b/workshop/fig/U.pdf deleted file mode 100644 index 6a88416..0000000 Binary files a/workshop/fig/U.pdf and /dev/null differ diff --git a/workshop/fig/out_orbitals.pdf b/workshop/fig/out_orbitals.pdf deleted file mode 100755 index 2ef9811..0000000 Binary files a/workshop/fig/out_orbitals.pdf and /dev/null differ diff --git a/workshop/fig/ts.pdf b/workshop/fig/ts.pdf deleted file mode 100644 index 953f5ff..0000000 Binary files a/workshop/fig/ts.pdf and /dev/null differ diff --git a/workshop/main.tex b/workshop/main.tex deleted file mode 100644 index 2b5e837..0000000 --- a/workshop/main.tex +++ /dev/null @@ -1,248 +0,0 @@ -\documentclass[french, 10pt, aspectratio=169]{beamer} -\useoutertheme{infolines} -\usecolortheme{whale} - -\usepackage{polyglossia} -\setmainlanguage{french} - -\usepackage{inter} -\usepackage{unicode-math} -\setmathfont[mathrm=sym]{Fira Math} -\setmonofont[Ligatures=TeX]{Fira Code} -\usepackage{csquotes} -\usepackage{siunitx} - -\usepackage[ - backend=biber, - style=iso-authoryear, - sorting=nyt, -]{biblatex} -\bibliography{library} - -\title[Déplacement d'un bloc de 50T]{Sur les conditions de déplacement d'un bloc de 50T par des vagues déferlantes.} -\author[Edgar P. Burkhart]{Edgar P. Burkhart \and Stéphane Abadie} -\institute[SIAME]{Université de Pau et des Pays de l’Adour, E2S-UPPA, SIAME, France} -\date[2022]{Workshop Wave over Complex Seabeds 2022} - -\begin{document} -\maketitle - -\begin{frame} - \frametitle{Sommaire} - \tableofcontents -\end{frame} - -\section{Contexte} -\subsection{Déplacement de blocs} -\begin{frame} - \frametitle{Contexte} - \framesubtitle{Déplacement de blocs} - - \begin{columns} - \column{.7\textwidth} - \begin{itemize} - \item \citetitle{cox2018extraordinary} \parencite{cox2018extraordinary} - \item \citetitle{shah2013coastal} \parencite{shah2013coastal} - \end{itemize} - - \column{.3\textwidth} - \includegraphics[width=\textwidth]{fig/cox.png} - \includegraphics[width=\textwidth]{fig/shah.png} - \end{columns} -\end{frame} - -\begin{frame} - \frametitle{Contexte} - \framesubtitle{Équations théoriques du déplacement de blocs} - - \begin{itemize} - \item \citetitle{nott2003waves} \parencite{nott2003waves} - \begin{equation} - u^2\geq\frac{2\left(\frac{\rho_s}{\rho_w}-1\right)ag}{C_d\frac{ac}{b^2}+C_l} - \end{equation} - \item \citetitle{nandasena2011reassessment} \parencite{nandasena2011reassessment} - \begin{equation} - u^2\geq\frac{2\left(\frac{\rho_s}{\rho_w}-1\right)ag\left(\cos\theta+\frac cb\sin\theta\right)} - {C_d\frac{c^2}{b^2}+C_l} - \end{equation} - \item \citetitle{weiss2015untangling} \parencite{weiss2015untangling} - \end{itemize} -\end{frame} - -\subsection{Événement du 28-02-2017} -\begin{frame} - \frametitle{Contexte} - \framesubtitle{Événement du 28 février 2017} - - \begin{figure} - \centering - \includegraphics[width=.5\textwidth]{fig/artha.jpg} - \caption{Bloc de béton de 50T déplacé par une vague sur la crête de la digue de l'Artha ($h=\SI{8}{\m}$).} - \end{figure} -\end{frame} - -\begin{frame} - \frametitle{Contexte} - \framesubtitle{Événement du 28 février 2017} - - \begin{columns} - \column{.6\textwidth} - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/ts.pdf} - \caption{Surface libre mesurée pendant la vague extrême identifiée le 28 février 2017 à 17:23 UTC - ($H=\SI{13.9}{\m}$).} - \end{figure} - - \column{.4\textwidth} - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/out_orbitals.pdf} - \caption{Trajectoire de la bouée lors du passage de cette vague particulière.} - \end{figure} - \end{columns} -\end{frame} - -\section{Résultats} -\subsection{Modèle SWASH 1D} -\begin{frame} - \frametitle{Modèle SWASH unidimensionnel} - \framesubtitle{Étude de la réflexion} - - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/bathy.pdf} - \caption{Domaine 1 étudié avec un modèle SWASH 1D (cas réel).} - \end{figure} -\end{frame} - -\begin{frame} - \frametitle{Modèle SWASH unidimensionnel} - \framesubtitle{Étude de la réflexion} - - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/bathy_nb.pdf} - \caption{Domaine 2 étudié avec un modèle SWASH 1D (sans digue).} - \end{figure} -\end{frame} - -\begin{frame} - \frametitle{Modèle SWASH unidimensionnel} - \framesubtitle{Étude de la réflexion} - - \begin{itemize} - \item Modèle 1D sur 2 couches (instable au-delà) - \item Maillage de résolution \SI{1}{\m} - \item Condition limite imposée par le spectre mesuré par la bouée - \item Temps d'étude de \SI{4}{\hour} ($\approx 1200$ vagues) - \item Modèle calibré par \textcite{poncet2021characterization} - \end{itemize} -\end{frame} - -\begin{frame} - \frametitle{Modèle SWASH unidimensionnel} - \framesubtitle{Étude de la réflexion} - - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/maxw.pdf} - \caption{Évolution de la surface libre calculée par SWASH avec condition limite de spectre à la position de la - bouée. Le tracé est centré sur la vague la plus grande obtenue. \newline - {\itshape Cas 1: Bathymétrie réelle; Cas 2: Bathymétrie simplifiée (sans digue).}} - \end{figure} -\end{frame} - -\begin{frame} - \frametitle{Modèle SWASH unidimensionnel} - \framesubtitle{Propagation entre la bouée et la digue} - - \begin{itemize} - \item Modèle 1D sur 4 couches (instable au-delà) - \item Maillage de résolution \SI{1}{\m} - \item Condition limite imposée par la série temporelle de surface libre mesurée par la bouée - \end{itemize} -\end{frame} - -\begin{frame} - \frametitle{Modèle SWASH unidimensionnel} - \framesubtitle{Propagation entre la bouée et la digue} - - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/x.pdf} - \caption{Propagation de la vague supposée responsable du déplacement jusqu’à la digue de l’Artha.} - \end{figure} -\end{frame} - -\subsection{Modèle Olaflow 2Dv} -\begin{frame} - \frametitle{Modèle Olaflow en 2 dimensions verticales} - \framesubtitle{Étude des conditions hydrodynamiques sur l'armure de la digue} - - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/aw_t0.pdf} - \caption{Domaine étudiée avec un modèle Olaflow 2Dv.} - \end{figure} -\end{frame} - -\begin{frame} - \frametitle{Modèle Olaflow en 2 dimensions verticales} - \framesubtitle{Étude des conditions hydrodynamiques sur l'armure de la digue} - - \begin{itemize} - \item Modèle VOF (Volume-Of-Fluid) basé sur les équations VARANS (Volume-averaged Reynolds-averaged Navier-Stokes) - \item Maillage de résolution \SI{50}{\cm} - \item Modèle de turbulence $k-\omega$ SST - \item Calibration qualitative sur la base de photographies - \end{itemize} -\end{frame} - -\begin{frame} - \frametitle{Modèle Olaflow en 2 dimensions verticales} - \framesubtitle{Étude des conditions hydrodynamiques sur l'armure de la digue} - - \begin{figure} - \centering - \includegraphics[scale=.75]{fig/U.pdf} - \caption{Vitesse du courant généré par les vagues sur la digue de l’Artha (x=-20m).} - \end{figure} -\end{frame} - -\begin{frame} - \frametitle{Modèle Olaflow en 2 dimensions verticales} - \framesubtitle{Étude des conditions hydrodynamiques sur l'armure de la digue} - - \begin{itemize} - \item Vitesse du courant obtenue obtenur par Olaflow: - \begin{equation} - U = \SI{17.3}{\m\per\s} - \end{equation} - \item Vitesse du courant obtenue obtenur par \textcite{nandasena2011reassessment}: - \begin{equation} - U = \SI{17.7}{\m\per\s} - \end{equation} - \item \textcite{weiss2015untangling}: la dépendance temporelle a une importance. - \end{itemize} -\end{frame} - -\section{Conclusion} -\begin{frame} - \frametitle{Conclusion} - - \begin{itemize} - \item Vitesse de courant obtenue cohérente avec \textcite{nandasena2011reassessment} - \item Dépendance temporelle en accord avec \textcite{weiss2015untangling} - \item Existence d'autres vagues similaires durant la même tempête ? - \end{itemize} -\end{frame} - -\appendix -\section{Bibliographie} -\begin{frame}[allowframebreaks] - \frametitle{Bibliographie} - - \printbibliography -\end{frame} -\end{document}