diff --git a/Jenkinsfile b/Jenkinsfile index dad7423..e74028c 100644 --- a/Jenkinsfile +++ b/Jenkinsfile @@ -4,7 +4,7 @@ node { } stage('Build PDF') { - sh 'latexmk -xelatex -jobname=lsd-zf -f main.tex' + sh 'latexmk -xelatex -jobname=lsd-zf main.tex' } stage('Archive PDF') { diff --git a/img/eta.png b/img/eta.png deleted file mode 100644 index 01db191..0000000 Binary files a/img/eta.png and /dev/null differ diff --git a/main.bib b/main.bib deleted file mode 100644 index 7f0cfa8..0000000 --- a/main.bib +++ /dev/null @@ -1,7 +0,0 @@ -@misc{wernliLectureScript, - title = {Lecture {{Script}}}, - author = {Wernli, Heini and Papritz, Lukas}, - url = {https://ethz.ch/content/dam/ethz/special-interest/usys/iac/iac-dam/documents/edu/courses/dynamics_of_large_scale_flow/LSD_2022.pdf}, - urldate = {2022-09-10}, - file = {/Users/thisfro/Zotero/storage/ERN2IM82/Lecture Script.pdf} -} diff --git a/main.tex b/main.tex index 040eb93..7922f38 100644 --- a/main.tex +++ b/main.tex @@ -1,5 +1,4 @@ -\documentclass[landscape]{article} -\usepackage[utf8]{inputenc} +\documentclass[8pt,landscape]{article} \usepackage{multicol} \usepackage{calc} \usepackage{bookmark} @@ -14,15 +13,12 @@ \usepackage{xcolor} \usepackage{float} \usepackage{apacite} -\usepackage{physics} -\usepackage[style=authoryear]{biblatex} \usepackage[ type={CC}, modifier={by-sa}, version={3.0} ]{doclicense} -\addbibresource{main.bib} \graphicspath{{./img/}} \definecolor{codegreen}{rgb}{0,0.6,0} @@ -152,12 +148,12 @@ \subsection{Fundamental equations} \subsubsection{Navier-Stokes} \begin{equation} - \frac{D\vb{u}}{Dt} = \underbrace{-\frac{1}{\rho}\nabla p}_\mathrm{Pressure} - \underbrace{(2\Omega \times \vb{u})}_\mathrm{Coriolis} - \underbrace{g'K}_\mathrm{Gravity} + \underbrace{F^{**}}_\mathrm{Viscous} + \frac{Du}{Dt} = \underbrace{-\frac{1}{\rho}\nabla p}_\mathrm{Pressure} - \underbrace{(2\Omega \times u)}_\mathrm{Coriolis} - \underbrace{g'K}_\mathrm{Gravity} + \underbrace{F^{**}}_\mathrm{Viscous} \end{equation} \subsubsection{Conservation of mass} \begin{equation} - \frac{D \rho}{Dt} + \rho(\nabla \vb{u}) = 0 + \frac{D \rho}{Dt} + \rho(\nabla u) = 0 \end{equation} \subsubsection{First law of thermodynamics} @@ -186,30 +182,13 @@ if $\mathcal{H} = 0$, the process is \textit{adiabatic} \frac{D_h}{Dt} \zeta + \beta v = -f_0(\nabla_h \vec{v}) \end{equation} -\subsection{Geostrophic streamfunction} -\begin{equation} - \nabla_h \psi = \zeta_G -\end{equation} - -\subsection{Wave theory} -\subsubsection*{Pertubation tendency} -\begin{equation} - \psi = \underbrace{\bar{\psi}(y,z)}_\mathrm{Mean \, meridional \, flow} + \underbrace{\psi'(x,y,z,t)}_\mathrm{Pertubation} -\end{equation} -assuming $|\psi'| \ll |\bar{\psi}|$ - - -\begin{equation} - \bigg(\frac{\partial}{\partial t} + \mathcal{U} \bigg) q' + v'(\frac{\partial}{\partial y} \bar{q} + \beta) = 0 -\end{equation} -with $\mathcal{U} = - \frac{\partial \bar{\psi}}{\partial y}$ - \section{Concepts} \subsection{Thermal wind} \textit{Thermal wind} describes the vertical change of geostrophic (i.e. horizontal) wind \begin{equation} - \frac{\partial}{\partial z} \vb{v_G} = \bigg(\frac{1}{f}\frac{g}{\theta_0}\bigg)(\vb{k} \times \nabla_h \theta^*) + \frac{\partial}{\partial z} v_G = \bigg(\frac{1}{f}\frac{g}{\theta_0}\bigg)(k \times \nabla_h \theta^*) \end{equation} + \subsection{$Q$-Vector} The $Q$-Vector indicates if there is cyclogenesis ($\mathcal{F} < 0$, $\mathcal{F} \sim \nabla_h Q$) \vspace{2mm} \\ @@ -220,28 +199,10 @@ How to determine the $Q$-Vector on weather charts: \item Large temperature gradient \item Strong wind change \end{itemize} - \item Determine wind-change vector along $\eta$ (warm to the right, see Figure~\ref{Q-eta}) - \item Rotate that vector by $-90^\circ$ + \item Determine wind-change vector + \item Rotate that vector by $+90^\circ$ \end{enumerate} -\begin{figure}[H] - \centering - \includegraphics[width=0.1\textwidth]{eta.png} - \caption{Direction of $\eta$} - \label{Q-eta} -\end{figure} - -\begin{equation} - \vb{Q} = -\frac{g}{\theta_0}|\nabla_h\theta^{*}|(\vb{k} \wedge \frac{\partial}{\partial \xi}\vb{v_G}) -\end{equation} - -\subsection{PV streamer} -\begin{itemize} - \item is an upper level positive PV anomaly - \item induces cyclonal flow -\end{itemize} - - \scriptsize \section*{Copyleft} @@ -252,11 +213,14 @@ This document is released under (CC BY-SA 3.0) \\ \faGit \kern 0.88em \url{https://git.thisfro.ch/thisfro/lsd-zf} \\ Jannis Portmann, HS22 -\printbibliography +\section*{References} +\begin{enumerate} + \item Script: LSD\_22.pdf +\end{enumerate} \section*{Image sources} \begin{itemize} - \item Figure~\ref{Q-eta} (Skript, \cite{wernliLectureScript}) + \item Bild \end{itemize} \end{multicols*}