From aadfda6a86283c061e63ee13d2f646107412d202 Mon Sep 17 00:00:00 2001 From: "Edgar P. Burkhart" Date: Fri, 24 Jun 2022 16:44:28 +0200 Subject: [PATCH] Wavelet --- nature/fig/wavelet9312.pdf | Bin 0 -> 35778 bytes nature/fig/wavelet_sw.pdf | Bin 0 -> 83172 bytes nature/library.bib | 10 ++++++++++ nature/main.tex | 24 ++++++++++++++++++++++++ 4 files changed, 34 insertions(+) create mode 100644 nature/fig/wavelet9312.pdf create mode 100644 nature/fig/wavelet_sw.pdf diff --git a/nature/fig/wavelet9312.pdf b/nature/fig/wavelet9312.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1a8caa14866c5c8ffbcd5d4726b0c789c9d884b0 GIT binary patch literal 35778 zcma&ObyOYCwk-?mt87PPCu1XXFttGx5+Y+&HL(P`ka7G) z)X7*iy&QpLtP&=!CbkZiWFjJnKzs9l0{Q+ULCVurM#I&_6-dVQ?<8pldsi~ffA6cB zxVi$J?a8?RIYeYtb#^e*0J@Ut{jDP@{kMIfrz;t&oZa7=;{Uak_^+)TnE@HAhLwrA zwY?=7&%e`kR7`DvX0Bws|7!gIqr?869T2m(cW`wfV`uv}1Bt(EfcAd@{(rZj1T?oc z5qI$X%i*60E)H%Mc77f{ZZ=MSPF^y0K0X$HULHS3#ujoU8$icGd zCo%Up0$UN_itzS%VI@k)LX=s*b_PZcj{djS7li4WfSbyImr|qm(}4H8;g*l*sFs?% zfR_W(t=$Wc=PTY8$CsS-S29q 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Meteorological Society} +} diff --git a/nature/main.tex b/nature/main.tex index 19284d3..f31441d 100644 --- a/nature/main.tex +++ b/nature/main.tex @@ -126,6 +126,28 @@ the crest increases, with a zone reaching 400m long in front of the wave where t qualitatively estimated position of the wave crest.}\label{fig:swash_trans} \end{figure*} +\subsection{Wavelet analysis} + +In an attempt to understand the identified wave, a wavelet analysis is conducted on raw buoy data as well as at +different points along the SWASH model using the method proposed by \textcite{torrence1998}. The results are displayed +in Figure~\ref{fig:wavelet} and Figure~\ref{fig:wavelet_sw}. The wavelet power spectrum shows that the major component +in the identified wave is a high energy infragravity wave, with a period of around 60s. + +The SWASH model seems to indicate that the observed transformation of the wave can be characterized by a transfer of +energy from the infragravity band to shorter waves from around 600m to 300m, and returning to the infragravity band at +200m. + +\begin{figure*} + \centering + \includegraphics{fig/wavelet9312.pdf} + \caption{Normalized wavelet power spectrum from the raw buoy timeseries.}\label{fig:wavelet} +\end{figure*} +\begin{figure*} + \centering + \includegraphics{fig/wavelet_sw.pdf} + \caption{Normalized wavelet power spectrum along the SWASH domain.}\label{fig:wavelet_sw} +\end{figure*} + \subsection{Hydrodynamic conditions on the breakwater} The two-dimensionnal olaFlow model near the breakwater allowed to compute the flow velocity near and on the breakwater @@ -145,6 +167,8 @@ exhibits a water level over 5m for over 40s. \section{Discussion} + + \section{Methods} \printbibliography \end{document}