source: palm/trunk/TUTORIAL/SOURCE/ocean_version.tex @ 1117

%$Id: ocean_version.tex 1080 2012-12-13 13:39:39Z suehring $
\input{header_tmp.tex}
%\input{../header_lectures.tex}

%\documentclass{beamer}
\usepackage[utf8]{inputenc}
\usepackage{ngerman}
\usepackage{pgf}
\usetheme{Dresden}
\usepackage{subfigure}
\usepackage{units}
\usepackage{amsmath}
\usepackage{multimedia}
\newcommand{\event}[1]{\newcommand{\eventname}{#1}}
\usepackage{xmpmulti}
\usepackage{tikz}
\usepackage{pdfcomment}
\usetikzlibrary{shapes,arrows,positioning}
\def\Tiny{\fontsize{4pt}{4pt}\selectfont}
\usepackage{listings}
\lstset{language=[90]Fortran,
  basicstyle=\ttfamily \tiny,
  keywordstyle=\color{black},
  commentstyle=\color{black},
  morecomment=[l]{!\ }% Comment only with space after !
}


\institute{Institut fÌr Meteorologie und Klimatologie, Leibniz UniversitÀt Hannover}
\date{last update: \today}
\event{PALM Seminar}
\setbeamertemplate{navigation symbols}{}

\setbeamertemplate{footline}
  {%
    \begin{beamercolorbox}[rightskip=-0.1cm]&
     {\includegraphics[height=0.65cm]{imuk_logo.pdf}\hfill \includegraphics[height=0.65cm]{luh_logo.pdf}}
    \end{beamercolorbox}
    \begin{beamercolorbox}[ht=2.5ex,dp=1.125ex,%
      leftskip=.3cm,rightskip=0.3cm plus1fil]{title in head/foot}%
      {\leavevmode{\usebeamerfont{author in head/foot}\insertshortauthor} \hfill \eventname \hfill \insertframenumber \; / \inserttotalframenumber}%
    \end{beamercolorbox}%
%    \begin{beamercolorbox}[colsep=1.5pt]{lower separation line foot}%
%    \end{beamercolorbox}
  }
%\logo{\includegraphics[width=0.3\textwidth]{luhimuk_logo.png}}

\title[PALM Ocean Version]{PALM Ocean Version}
\author{Siegfried Raasch}


% Notes:
% jede subsection bekommt einen punkt im menu (vertikal ausgerichtet.
% jeder frame in einer subsection bekommt einen punkt (horizontal ausgerichtet)
\begin{document}

\begin{frame}
\titlepage
\end{frame}

\section{PALM Ocean Version}
\subsection{PALM Ocean Version}

%Folie 01
\begin{frame}
   \frametitle{PALM - Ocean Version - General Features}
   \begin{itemize}
      \item<2->{Ocean and atmosphere version are sharing the same code.}
      \item<3->{The ocean version is switched on by setting the  +inipar - parameter:\\\quad{\tiny \texttt{ocean = .TRUE.}}}
      \item<4->{There are only few parts in the code which differ between both versions. In the ocean version:}
      \begin{itemize}
         \item<5->{an additional prognostic equation for salinity is solved,}
         \item<6->{in the buoyancy term (w-equation) and the stability-related terms (SGS-TKE-equation), potential temperature is replaced by potential density,}
         \item<7->{density is calculated from the nonlinear equation of state for seawater. So far, only the initial hydrostatic pressure is entered into this equation.}
      \end{itemize}
   \end{itemize}
\end{frame}

%Folie 02
\begin{frame}
   \frametitle{PALM - Ocean Version - Equations}
   \vspace{15pt}

   \tikzstyle{white} = [rectangle, text width=0.9\textwidth, font=\normalsize]
   \tikzstyle{space} = [rectangle, text width=0.01\textwidth, font=\normalsize]
   \tikzstyle{clear} = [rectangle, draw, text width=0.55\textwidth, minimum size=15pt, font=\small]
   \tikzstyle{clear2} = [rectangle, draw, text width=0.18\textwidth, minimum size=40pt, font=\normalsize]
   \tikzstyle{line} = [draw, -]
   \tikzstyle{red} = [rectangle, draw, color=red, text width=0.28\textwidth, minimum size=40pt, font=\normalsize]



   \begin{tikzpicture}[auto, node distance=0]
      \uncover<1->{\node [white] (first) {
      Momentum:
      \begin{align*}
        \frac{\partial \bar{u}_i}{\partial t} =& - \frac{\partial \bar{u}_k \bar{u}_i}{\partial x_k} - \frac{1}{\rho_0} \frac{\partial \bar{p}^*}{\partial x_i} - \varepsilon_{ijk} f_{j} (\bar{u}_k-\bar{u}_{k_g}) - \delta_{i3} g \frac{\bar{\rho}- \tilde{\bar{\rho}}}{\rho_{ref}} - \frac{\partial \overline{u'_k u'_i}}{\partial x_k}\\
      \intertext{Potential Temperature:}
        \frac{\partial \bar{\theta}}{\partial t} =& - \frac{\partial \bar{u}_k \bar{\theta}}{\partial x_k} - \frac{\partial \overline{u'_k \theta'}}{\partial x_k}\\
      \intertext{Salinity:}
        \frac{\partial \bar{S}}{\partial t} =& - \frac{\partial \bar{u}_k \bar{S}}{\partial x_k} - \frac{\partial \overline{u'_k S'}}{\partial x_k}
      \end{align*}
      };}
      \uncover<1->{\node [white, right=-7.3cm of first] (second) {};}

      \uncover<1->{\node [clear, below=-1.2cm of second] (density) {
      Density r = r(S,q,ph) is calculated from the equation of state for seawater using the algorithm from Jackett et al. (2006)
      };}

      \uncover<1->{\node [space, below=1.0cm of density] (space) {};}
      \uncover<1->{\node [space, left=2.35cm of space] (kontis) {\begin{align*}\frac{\partial \bar{u}_k}{\partial x_k} = 0\end{align*}};}
      \uncover<1->{\node [space, right=-0.28cm of space] (reds) {\begin{align*}\frac{\partial^2 \bar{p}^*}{\partial x_{k}^{2}} = \frac{\rho_0}{\Delta t}\frac{\partial \hat{\bar{u}}_k}{\partial x_k}\end{align*}};}

      \uncover<1->{\node [space, below=1.2cm of density] (space2) {};}
      \uncover<1->{\node [clear2, left=0.7cm of space2] (konti) {};}
      \uncover<1->{\node [red, right=-0.38cm of space2] (red) {};}

   \end{tikzpicture}

\end{frame}


%Folie 03
\begin{frame}
   \frametitle{PALM - Ocean Version - Grid Structure and Conventions}

   \tikzstyle{grid} = [rectangle, minimum size=4pt]
   \tikzstyle{w} = [rectangle, draw, color=green, fill=green!50, minimum size=4pt]
   \tikzstyle{u} = [circle, draw, color=gray, fill=gray!50, minimum size=4pt]
   \tikzstyle{scalar} = [diamond, draw, color=red, fill=red!50, minimum size=4pt]
   \tikzstyle{line} = [draw, -]
   
   \tikzstyle{label} = [rectangle, font=\tiny]
   \tikzstyle{labelred} = [rectangle, color=red, font=\tiny]
   \tikzstyle{2dtextbox} = [rectangle, align=center, fill=white!100, text width=0.42\textwidth, minimum size=35pt, font=\tiny]

   \begin{tikzpicture}[auto, node distance=0,inner sep=0mm,>=latex', edge from parent path=
   {(\tikzparentnode.west) .. controls +(-0.15,0) and +(0.15,0) .. (\tikzchildnode.east)}]


%grid
      \uncover<1->{\node [grid] (grid11) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid11] (grid12) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid12] (grid13) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid13] (grid14) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid14] (grid15) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of grid11] (grid21) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid21] (grid22) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid22] (grid23) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid23] (grid24) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid24] (grid25) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of grid21] (grid31) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid31] (grid32) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid32] (grid33) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid33] (grid34) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid34] (grid35) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of grid31] (grid41) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid41] (grid42) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid42] (grid43) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid43] (grid44) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid44] (grid45) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of grid41] (grid51) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid51] (grid52) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid52] (grid53) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid53] (grid54) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid54] (grid55) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of grid51] (grid61) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid61] (grid62) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid62] (grid63) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid63] (grid64) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid64] (grid65) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of grid61] (grid71) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid71] (grid72) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid72] (grid73) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid73] (grid74) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid74] (grid75) {};}



%horzontal lines
      \path<1-> [line] (grid11.west) -- (grid12.east);
      \path<1-> [line] (grid12.west) -- (grid13.east);
      \path<1-> [line] (grid13.west) -- (grid14.east);
      \path<1-> [line] (grid14.west) -- (grid15.east);
      
      \path<1-> [line] (grid21.west) -- (grid22.east);
      \path<1-> [line] (grid22.west) -- (grid23.east);
      \path<1-> [line] (grid23.west) -- (grid24.east);
      \path<1-> [line] (grid24.west) -- (grid25.east);
      
      \path<1-> [line] (grid31.west) -- (grid32.east);
      \path<1-> [line] (grid32.west) -- (grid33.east);
      \path<1-> [line] (grid33.west) -- (grid34.east);
      \path<1-> [line] (grid34.west) -- (grid35.east);
      
      \path<1-> [line] (grid41.west) -- (grid42.east);
      \path<1-> [line] (grid42.west) -- (grid43.east);
      \path<1-> [line] (grid43.west) -- (grid44.east);
      \path<1-> [line] (grid44.west) -- (grid45.east);

%vertical lines
      \path<1-> [line] (grid11.north) -- (grid21.south);
      \path<1-> [line] (grid12.north) -- (grid22.south);
      \path<1-> [line] (grid13.north) -- (grid23.south);
      \path<1-> [line] (grid14.north) -- (grid24.south);
      \path<1-> [line] (grid15.north) -- (grid25.south);
      
      \path<1-> [line] (grid21.north) -- (grid31.south);
      \path<1-> [line] (grid22.north) -- (grid32.south);
      \path<1-> [line] (grid23.north) -- (grid33.south);
      \path<1-> [line] (grid24.north) -- (grid34.south);
      \path<1-> [line] (grid25.north) -- (grid35.south);
      
      \path<1-> [line] (grid31.north) -- (grid41.south);
      \path<1-> [line] (grid32.north) -- (grid42.south);
      \path<1-> [line] (grid33.north) -- (grid43.south);
      \path<1-> [line] (grid34.north) -- (grid44.south);
      \path<1-> [line] (grid35.north) -- (grid45.south);
      
      \uncover<1->{\draw [->] (grid41.south) -- (grid51.north);}
      \uncover<1->{\draw [->] (grid42.south) -- (grid52.north);}
      \uncover<1->{\draw [->] (grid43.south) -- (grid53.north);}
      \uncover<1->{\draw [->] (grid44.south) -- (grid54.north);}
      \uncover<1->{\draw [->] (grid45.south) -- (grid55.north);}

%gridmarks
%drawing the w
      \uncover<1->{\node [w, right=0.22cm of grid11] (w11) {};}
      \uncover<1->{\node [w, right=0.6cm of w11] (w12) {};}
      \uncover<1->{\node [w, right=0.6cm of w12] (w13) {};}
      \uncover<1->{\node [w, right=0.6cm of w13] (w14) {};}
      
      \uncover<1->{\node [w, below=0.6cm of w11] (w21) {};}
      \uncover<1->{\node [w, right=0.6cm of w21] (w22) {};}
      \uncover<1->{\node [w, right=0.6cm of w22] (w23) {};}
      \uncover<1->{\node [w, right=0.6cm of w23] (w24) {};}
      
      \uncover<1->{\node [w, below=0.6cm of w21] (w31) {};}
      \uncover<1->{\node [w, right=0.6cm of w31] (w32) {};}
      \uncover<1->{\node [w, right=0.6cm of w32] (w33) {};}
      \uncover<1->{\node [w, right=0.6cm of w33] (w34) {};}
      
      \uncover<1->{\node [w, below=0.6cm of w31] (w41) {};}
      \uncover<1->{\node [w, right=0.6cm of w41] (w42) {};}
      \uncover<1->{\node [w, right=0.6cm of w42] (w43) {};}
      \uncover<1->{\node [w, right=0.6cm of w43] (w44) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of w41] (w51) {};}
      \uncover<1->{\node [grid, right=0.6cm of w51] (w52) {};}
      \uncover<1->{\node [grid, right=0.6cm of w52] (w53) {};}
      \uncover<1->{\node [grid, right=0.6cm of w53] (w54) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of w51] (w61) {};}
      \uncover<1->{\node [grid, right=0.6cm of w61] (w62) {};}
      \uncover<1->{\node [grid, right=0.6cm of w62] (w63) {};}
      \uncover<1->{\node [grid, right=0.6cm of w63] (w64) {};}
      


%drawing the u
      \uncover<1->{\node [u, below=0.22cm of grid11] (u11) {};}
      \uncover<1->{\node [u, right=0.6cm of u11] (u12) {};}
      \uncover<1->{\node [u, right=0.6cm of u12] (u13) {};}
      \uncover<1->{\node [u, right=0.6cm of u13] (u14) {};}
      \uncover<1->{\node [u, right=0.6cm of u14] (u15) {};}
      
      \uncover<1->{\node [u, below=0.6cm of u11] (u21) {};}
      \uncover<1->{\node [u, right=0.6cm of u21] (u22) {};}
      \uncover<1->{\node [u, right=0.6cm of u22] (u23) {};}
      \uncover<1->{\node [u, right=0.6cm of u23] (u24) {};}
      \uncover<1->{\node [u, right=0.6cm of u24] (u25) {};}
      
      \uncover<1->{\node [u, below=0.6cm of u21] (u31) {};}
      \uncover<1->{\node [u, right=0.6cm of u31] (u32) {};}
      \uncover<1->{\node [u, right=0.6cm of u32] (u33) {};}
      \uncover<1->{\node [u, right=0.6cm of u33] (u34) {};}
      \uncover<1->{\node [u, right=0.6cm of u34] (u35) {};}
      
      \uncover<1->{\node [u, below=0.6cm of u31] (u41) {};}
      \uncover<1->{\node [u, right=0.6cm of u41] (u42) {};}
      \uncover<1->{\node [u, right=0.6cm of u42] (u43) {};}
      \uncover<1->{\node [u, right=0.6cm of u43] (u44) {};}
      \uncover<1->{\node [u, right=0.6cm of u44] (u45) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of u41] (u51) {};}
      \uncover<1->{\node [grid, right=0.6cm of u51] (u52) {};}
      \uncover<1->{\node [grid, right=0.6cm of u52] (u53) {};}
      \uncover<1->{\node [grid, right=0.6cm of u53] (u54) {};}
      \uncover<1->{\node [grid, right=0.6cm of u54] (u55) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of u51] (u61) {};}
      \uncover<1->{\node [grid, right=0.6cm of u61] (u62) {};}
      \uncover<1->{\node [grid, right=0.6cm of u62] (u63) {};}
      \uncover<1->{\node [grid, right=0.6cm of u63] (u64) {};}
      \uncover<1->{\node [grid, right=0.6cm of u64] (u65) {};}
      
      \uncover<1->{\node [u, below=0.6cm of u61] (u71) {};}
      \uncover<1->{\node [u, right=0.6cm of u71] (u72) {};}
      \uncover<1->{\node [u, right=0.6cm of u72] (u73) {};}
      \uncover<1->{\node [u, right=0.6cm of u73] (u74) {};}
      \uncover<1->{\node [u, right=0.6cm of u74] (u75) {};}

%horzontal line,dotteds
      \path<1-> [line,dotted] (u11.east) -- (u12.west);
      \path<1-> [line,dotted] (u12.east) -- (u13.west);
      \path<1-> [line,dotted] (u13.east) -- (u14.west);
      \path<1-> [line,dotted] (u14.east) -- (u15.west);
      
      \path<1-> [line,dotted] (u21.east) -- (u22.west);
      \path<1-> [line,dotted] (u22.east) -- (u23.west);
      \path<1-> [line,dotted] (u23.east) -- (u24.west);
      \path<1-> [line,dotted] (u24.east) -- (u25.west);
      
      \path<1-> [line,dotted] (u31.east) -- (u32.west);
      \path<1-> [line,dotted] (u32.east) -- (u33.west);
      \path<1-> [line,dotted] (u33.east) -- (u34.west);
      \path<1-> [line,dotted] (u34.east) -- (u35.west);
      
      \path<1-> [line,dotted] (u41.east) -- (u42.west);
      \path<1-> [line,dotted] (u42.east) -- (u43.west);
      \path<1-> [line,dotted] (u43.east) -- (u44.west);
      \path<1-> [line,dotted] (u44.east) -- (u45.west);

%vertical line,dotted
      \path<1-> [line,dotted] (w11.south) -- (w21.north);
      \path<1-> [line,dotted] (w12.south) -- (w22.north);
      \path<1-> [line,dotted] (w13.south) -- (w23.north);
      \path<1-> [line,dotted] (w14.south) -- (w24.north);
      
      \path<1-> [line,dotted] (w21.south) -- (w31.north);
      \path<1-> [line,dotted] (w22.south) -- (w32.north);
      \path<1-> [line,dotted] (w23.south) -- (w33.north);
      \path<1-> [line,dotted] (w24.south) -- (w34.north);
      
      \path<1-> [line,dotted] (w31.south) -- (w41.north);
      \path<1-> [line,dotted] (w32.south) -- (w42.north);
      \path<1-> [line,dotted] (w33.south) -- (w43.north);
      \path<1-> [line,dotted] (w34.south) -- (w44.north);


%drawing the scalar
      \uncover<1->{\node [scalar, below=0.22cm of w11] (scalar11) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar11] (scalar12) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar12] (scalar13) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar13] (scalar14) {};}
      
      \uncover<1->{\node [scalar, below=0.6cm of scalar11] (scalar21) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar21] (scalar22) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar22] (scalar23) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar23] (scalar24) {};}
      
      \uncover<1->{\node [scalar, below=0.6cm of scalar21] (scalar31) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar31] (scalar32) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar32] (scalar33) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar33] (scalar34) {};}
      
      \uncover<1->{\node [scalar, below=0.6cm of scalar31] (scalar41) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar41] (scalar42) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar42] (scalar43) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar43] (scalar44) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of scalar41] (scalar51) {};}
      \uncover<1->{\node [grid, right=0.6cm of scalar51] (scalar52) {};}
      \uncover<1->{\node [grid, right=0.6cm of scalar52] (scalar53) {};}
      \uncover<1->{\node [grid, right=0.6cm of scalar53] (scalar54) {};}
      
      \uncover<1->{\node [grid, below=0.6cm of scalar51] (scalar61) {};}
      \uncover<1->{\node [grid, right=0.6cm of scalar61] (scalar62) {};}
      \uncover<1->{\node [grid, right=0.6cm of scalar62] (scalar63) {};}
      \uncover<1->{\node [grid, right=0.6cm of scalar63] (scalar64) {};}

      \path<1-> [line,dotted] (w41.south) -- (scalar41.north);
      \path<1-> [line,dotted] (w42.south) -- (scalar42.north);
      \path<1-> [line,dotted] (w43.south) -- (scalar43.north);
      \path<1-> [line,dotted] (w44.south) -- (scalar44.north);


%continue the grid at the bottom
      \path<1-> [line,dotted] (u51.south) -- (grid61.north);
      \path<1-> [line,dotted] (u52.south) -- (grid62.north);
      \path<1-> [line,dotted] (u53.south) -- (grid63.north);
      \path<1-> [line,dotted] (u54.south) -- (grid64.north);
      \path<1-> [line,dotted] (u55.south) -- (grid65.north);
      
      \path<1-> [line] (grid71.west) -- (grid72.east);
      \path<1-> [line] (grid72.west) -- (grid73.east);
      \path<1-> [line] (grid73.west) -- (grid74.east);
      \path<1-> [line] (grid74.west) -- (grid75.east);
      
      \path<1-> [line] (u61.south) -- (u71.north);
      \path<1-> [line] (u62.south) -- (u72.north);
      \path<1-> [line] (u63.south) -- (u73.north);
      \path<1-> [line] (u64.south) -- (u74.north);
      \path<1-> [line] (u65.south) -- (u75.north);

      \uncover<1->{\node [w, below=0.6cm of w61] (w71) {};}
      \uncover<1->{\node [w, right=0.6cm of w71] (w72) {};}
      \uncover<1->{\node [w, right=0.6cm of w72] (w73) {};}
      \uncover<1->{\node [w, right=0.6cm of w73] (w74) {};}

      \path<1-> [line,dotted] (u71.east) -- (u72.west);
      \path<1-> [line,dotted] (u72.east) -- (u73.west);
      \path<1-> [line,dotted] (u73.east) -- (u74.west);
      \path<1-> [line,dotted] (u74.east) -- (u75.west);

      \uncover<1->{\node [scalar, below=0.6cm of scalar61] (scalar71) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar71] (scalar72) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar72] (scalar73) {};}
      \uncover<1->{\node [scalar, right=0.6cm of scalar73] (scalar74) {};}

      \path<1-> [line,dotted] (w71.south) -- (scalar71.north);
      \path<1-> [line,dotted] (w72.south) -- (scalar72.north);
      \path<1-> [line,dotted] (w73.south) -- (scalar73.north);
      \path<1-> [line,dotted] (w74.south) -- (scalar74.north);



%legende 2D
      \uncover<1->{\node [grid, above=0.6cm of grid11] (2Dlegend00) {};}
      \uncover<1->{\node [grid, right=0.6cm of 2Dlegend00] (2Dlegend10) {};}
      \uncover<1->{\node [grid, above=0.6cm of 2Dlegend00] (2Dlegend01) {};}
      \uncover<1->{\draw [->, color=red] (2Dlegend00.center) -- (2Dlegend10.east);}
      \uncover<1->{\draw [->, color=black] (2Dlegend00.center) -- (2Dlegend01.north);}
      
      \uncover<1->{\node [label, above=0.8cm of 2Dlegend00] (2Dlegend01label) {w,z,k};}
      \uncover<1->{\node [label, right=0.8cm of 2Dlegend00] (2Dlegend10label) {u,x,i};}

      \uncover<1->{\node [scalar, above=0.6cm of grid14] (2Dlegendscalar) {};}
      \uncover<1->{\node [label, right=0.1cm of 2Dlegendscalar] (2Dlegendscalarlabel) {: scalar (e.g. pt)};}
      \uncover<1->{\node [u, above=0.22cm of 2Dlegendscalar] (2Dlegendu) {};}
      \uncover<1->{\node [label, right=0.1cm of 2Dlegendu] (2Dlegendulabel) {: u};}
      \uncover<1->{\node [w, above=0.22cm of 2Dlegendu] (2Dlegendw) {};}
      \uncover<1->{\node [label, right=0.1cm of 2Dlegendw] (2Dlegendwlabel) {: w};}
      
      \uncover<1->{\node [grid, above=0.22cm of 2Dlegendw] (2Dlegendspacing) {};}


%2D Grid Label right
      \uncover<1->{\node [grid, below=0.035cm of grid15] (rightlabelgrid1) {};}
      \uncover<1->{\node [grid, below=0.6cm of rightlabelgrid1] (rightlabelgrid2) {};}
      \uncover<1->{\node [grid, below=0.6cm of rightlabelgrid2] (rightlabelgrid3) {};}
      \uncover<1->{\node [grid, below=0.6cm of rightlabelgrid3] (rightlabelgrid4) {};}
      \uncover<1->{\node [grid, below=0.6cm of rightlabelgrid4] (rightlabelgrid5) {};}
      \uncover<1->{\node [grid, below=0.6cm of rightlabelgrid5] (rightlabelgrid6) {};}
      \uncover<1->{\node [grid, below=0.6cm of rightlabelgrid6] (rightlabelgrid7) {};}

      \uncover<1->{\node[label, right=0.30cm of rightlabelgrid1] (2Dgridlabelnzt1) {\: k = nzt + 1}
         child {node [grid, right=0cm of grid15] {}}
         child {node [grid, right=0cm of u15] {}};}
      
      \uncover<1->{\node[label, right=0.30cm of rightlabelgrid2] (2Dgridlabelnzt2) {\: k = nzt}
         child {node [grid, right=0cm of grid25] {}}
         child {node [grid, right=0cm of u25] {}};}
      
      \uncover<1->{\node[label, right=0.30cm of rightlabelgrid7] (2Dgridlabelnzt7) {\: k = nzb ($\sim0$)}
         child {node [grid, right=0cm of grid75] {}}
         child {node [grid, right=0cm of u75] {}};}
      
      \uncover<1->{\node [grid, right=0.62cm of u25] (rightlabelarrowtop) {};}
      \uncover<1->{\node [grid, right=0.62cm of grid75] (rightlabelarrowbottom) {};}
      \uncover<1->{\draw [->, dotted] (rightlabelarrowtop.south) -- (rightlabelarrowbottom.north);}
      
      \uncover<1->{\node [grid, right=0.2cm of grid25] (grid26) {};}
      \uncover<1->{\node [grid, right=0.6cm of grid26] (grid27) {};}
      \uncover<1->{\node [grid, right=0.3cm of grid27] (grid28) {};}
      \uncover<1->{\draw [->, dashed, color=red] (grid28.center) -- (grid26.center);}
      \uncover<1->{\node [labelred, above=-0.05cm of grid27] (grid27) {(sea sfc)};}

%2D Grid Label left
      \uncover<1->{\node [grid, left=1.4cm of grid11] (leftlabelgrid1) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftlabelgrid1] (leftlabelgrid3) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftlabelgrid3] (leftlabelgrid5) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftlabelgrid5] (leftlabelgrid7) {};}

      \uncover<1->{\node [grid, below=0.22cm of leftlabelgrid1] (leftlabelgrid2) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftlabelgrid2] (leftlabelgrid4) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftlabelgrid4] (leftlabelgrid6) {};}

      \uncover<1->{\node[label, right=0cm of leftlabelgrid2] {$\text{z}=+\frac{\Delta \text{z}}{2}$};}
      \uncover<1->{\node[label, right=0cm of leftlabelgrid3] {$\text{z}=0$};}
      \uncover<1->{\node[label, right=0cm of leftlabelgrid4] {$\text{z}=-\frac{\Delta \text{z}}{2}$};}
      \uncover<1->{\node[label, right=0cm of leftlabelgrid5] {$\text{z}=-\Delta \text{z}$};}
      \uncover<1->{\node[label, right=0cm of leftlabelgrid7] {$\text{z}=-2\Delta \text{z}$};}

      \uncover<1->{\node [grid, left=0.22cm of grid11] (leftarrowgrid1) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftarrowgrid1] (leftarrowgrid3) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftarrowgrid3] (leftarrowgrid5) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftarrowgrid5] (leftarrowgrid7) {};}

      \uncover<1->{\node [grid, below=0.22cm of leftarrowgrid1] (leftarrowgrid2) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftarrowgrid2] (leftarrowgrid4) {};}
      \uncover<1->{\node [grid, below=0.6cm of leftarrowgrid4] (leftarrowgrid6) {};}

      \uncover<1->{\draw [->, dotted] (u11.west) -- (leftarrowgrid2.east);}
      \uncover<1->{\draw [->, dotted] (grid21.west) -- (leftarrowgrid3.east);}
      \uncover<1->{\draw [->, dotted] (u21.west) -- (leftarrowgrid4.east);}
      \uncover<1->{\draw [->, dotted] (grid31.west) -- (leftarrowgrid5.east);}
      \uncover<1->{\draw [->, dotted] (grid41.west) -- (leftarrowgrid7.east);}

      \uncover<1->{\node [grid, below=0.035cm of grid41] (leftlabelarrowtopbase) {};}
      \uncover<1->{\node [grid, left=1.058cm of leftlabelarrowtopbase] (leftlabelarrowtop) {};}
      \uncover<1->{\node [grid, left=1.058cm of grid71] (leftlabelarrowbottom) {};}
      \uncover<1->{\draw [->, dotted] (leftlabelarrowtop.south) -- (leftlabelarrowbottom.north);}

%2D textbox
      \uncover<2->{\node [2dtextbox, below=0.25cm of u43] (2dtextbox) {
         z=0 (sea surface) is assumed at the \textbf{model top}\\ 
         (vertical grid index k=nzt on the w-grid),\\ 
         with negative values of z indicating the depth.
      };}

%------------------------------------3D--------------------------

%grid
      \uncover<1->{\node [grid, right=5.0cm of grid11] (2grid11) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid11] (2grid12) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid12] (2grid13) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid13] (2grid14) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid14] (2grid15) {};}
      
      \uncover<1->{\node [grid, below=0.9cm of 2grid11] (2grid21) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid21] (2grid22) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid22] (2grid23) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid23] (2grid24) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid24] (2grid25) {};}
      
      \uncover<1->{\node [grid, below=0.9cm of 2grid21] (2grid31) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid31] (2grid32) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid32] (2grid33) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid33] (2grid34) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid34] (2grid35) {};}
      
      \uncover<1->{\node [grid, below=0.9cm of 2grid31] (2grid41) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid41] (2grid42) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid42] (2grid43) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid43] (2grid44) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid44] (2grid45) {};}
      
      \uncover<1->{\node [grid, below=0.9cm of 2grid41] (2grid51) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid51] (2grid52) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid52] (2grid53) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid53] (2grid54) {};}
      \uncover<1->{\node [grid, right=0.9cm of 2grid54] (2grid55) {};}


      \fill [fill=blue!20] (2grid12.center)  -- (2grid21.center) -- (2grid51.center) -- (2grid54.center) -- (2grid24.center) -- (2grid15.center);
      \fill [fill=blue!50] (2grid15.center)  -- (2grid24.center) -- (2grid54.center) -- (2grid45.center) -- (2grid15.center);

      \path<1-> [line] (2grid21.center) -- (2grid51.center);
      \path<1-> [line] (2grid51.center) -- (2grid54.center);
      \path<1-> [line] (2grid54.center) -- (2grid24.center);
      \path<1-> [line] (2grid24.center) -- (2grid21.center);
      
      \path<1-> [line,dashed] (2grid42.center) -- (2grid12.center);
      \path<1-> [line,dashed] (2grid42.center) -- (2grid45.center);
      \path<1-> [line] (2grid45.center) -- (2grid15.center);
      \path<1-> [line] (2grid15.center) -- (2grid12.center);
      
      \path<1-> [line] (2grid21.center) -- (2grid12.center);
      \path<1-> [line] (2grid24.center) -- (2grid15.center);
      \path<1-> [line] (2grid54.center) -- (2grid45.center);
      \path<1-> [line,dashed] (2grid42.center) -- (2grid51.center);


%legende 3D
      \uncover<1->{\node [grid, above=0.6cm of 2grid12] (3Dlegend00) {};}
      \uncover<1->{\node [grid, right=0.6cm of 3Dlegend00] (3Dlegend10) {};}
      \uncover<1->{\node [grid, above=0.6cm of 3Dlegend00] (3Dlegend01) {};}
      \uncover<1->{\draw [->, color=red] (3Dlegend00.center) -- (3Dlegend10.east);}
      \uncover<1->{\draw [->, color=black] (3Dlegend00.center) -- (3Dlegend01.north);}
      
      \uncover<1->{\node [grid, right=0.2cm of 3Dlegend00] (3Dlegend010base) {};}
      \uncover<1->{\node [grid, above=0.2cm of 3Dlegend010base] (3Dlegend010) {};}
      \uncover<1->{\draw [->, color=blue] (3Dlegend00.center) -- (3Dlegend010.center);}
      
      \uncover<1->{\node [label, above=0.8cm of 3Dlegend00] (3Dlegend001label) {w,z,k};}
      \uncover<1->{\node [label, right=0.8cm of 3Dlegend00] (3Dlegend100label) {u,x,i};}
      \uncover<1->{\node [label, right=0cm of 3Dlegend010] (3Dlegend010label) {v,y,j};}

%mini koordinaten 3D
      \uncover<1->{\node [grid, right=0.375cm of 2grid11] (3Dkoordgrid11base) {};}
      \uncover<1->{\node [grid, below=0.375cm of 3Dkoordgrid11base] (3Dkoordgrid11) {};}

      \uncover<1->{\node [grid, below=0.375cm of 2grid13] (3Dkoord1base) {};}
      
      \uncover<1->{\node [grid, right=0.375cm of 2grid31] (3Dkoord2base) {};}
      
      \uncover<1->{\node [grid, right=0.375cm of 2grid42] (3Dkoord3basebase) {};}
      \uncover<1->{\node [grid, above=0.375cm of 3Dkoord3basebase] (3Dkoord3base) {};}
     
      \uncover<1->{\node [grid, left=0.375cm of 2grid24] (3Dkoord4basebase) {};}
      \uncover<1->{\node [grid, below=0.375cm of 3Dkoord4basebase] (3Dkoord4base) {};}
      
      \uncover<1->{\node [grid, left=0.375cm of 2grid35] (3Dkoord5base) {};}
      
      \uncover<1->{\node [grid, above=0.375cm of 2grid53] (3Dkoord6base) {};}
      
      \uncover<1->{\node [grid, right=0.9cm of 2grid32] (3Dkoord7base) {};}


      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord1base] (3Dkoord1x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord1base] (3Dkoord1x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord1base] (3Dkoord1z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord1base] (3Dkoord1z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord1base] (3Dkoord1y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord1y1base] (3Dkoord1y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord1base] (3Dkoord1y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord1y2base] (3Dkoord1y2) {};}
      \uncover<1->{\draw [<->, color=red] (3Dkoord1x1.center) -- (3Dkoord1x2.center);}
      \uncover<1->{\draw [<->, color=blue] (3Dkoord1y1.center) -- (3Dkoord1y2.center);}
      \uncover<1->{\draw [<-, color=black] (3Dkoord1z1.center) -- (3Dkoord1base.center);}
      \uncover<1->{\node [label, right=0.2cm of 3Dkoord1y1] (3Dkoord1baselabel) {$\text{w}_{\text{i,j,k}}$};}

      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord2base] (3Dkoord2x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord2base] (3Dkoord2x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord2base] (3Dkoord2z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord2base] (3Dkoord2z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord2base] (3Dkoord2y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord2y1base] (3Dkoord2y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord2base] (3Dkoord2y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord2y2base] (3Dkoord2y2) {};}
      \uncover<1->{\draw [->, color=red] (3Dkoord2base.center) -- (3Dkoord2x2.center);}
      \uncover<1->{\draw [<->, color=blue] (3Dkoord2y1.center) -- (3Dkoord2y2.center);}
      \uncover<1->{\draw [<->, color=black] (3Dkoord2z1.center) -- (3Dkoord2z2.center);}
      \uncover<1->{\node [label, below=0cm of 3Dkoord2z1] (3Dkoord2baselabel) {$\text{u}_{\text{i,j,k}}$};}

      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord3base] (3Dkoord3x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord3base] (3Dkoord3x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord3base] (3Dkoord3z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord3base] (3Dkoord3z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord3base] (3Dkoord3y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord3y1base] (3Dkoord3y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord3base] (3Dkoord3y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord3y2base] (3Dkoord3y2) {};}
      \uncover<1->{\draw [<->, color=red] (3Dkoord3x1.center) -- (3Dkoord3x2.center);}
      \uncover<1->{\draw [->, color=blue] (3Dkoord3base.center) -- (3Dkoord3y2.center);}
      \uncover<1->{\draw [<->, color=black] (3Dkoord3z1.center) -- (3Dkoord3z2.center);}
      \uncover<1->{\node [label, right=0.2cm of 3Dkoord3y1] (3Dkoord3baselabel) {$\text{v}_{\text{i,j,k}}$};}

      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord4base] (3Dkoord4x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord4base] (3Dkoord4x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord4base] (3Dkoord4z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord4base] (3Dkoord4z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord4base] (3Dkoord4y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord4y1base] (3Dkoord4y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord4base] (3Dkoord4y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord4y2base] (3Dkoord4y2) {};}
      \uncover<1->{\draw [<->, color=red] (3Dkoord4x1.center) -- (3Dkoord4x2.center);}
      \uncover<1->{\draw [<-, color=blue] (3Dkoord4y1.center) -- (3Dkoord4base.center);}
      \uncover<1->{\draw [<->, color=black] (3Dkoord4z1.center) -- (3Dkoord4z2.center);}
      \uncover<1->{\node [label, left=0.2cm of 3Dkoord4y2] (3Dkoord4baselabel) {$\text{v}_{\text{i,j+1,k}}$};}

      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord5base] (3Dkoord5x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord5base] (3Dkoord5x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord5base] (3Dkoord5z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord5base] (3Dkoord5z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord5base] (3Dkoord5y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord5y1base] (3Dkoord5y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord5base] (3Dkoord5y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord5y2base] (3Dkoord5y2) {};}
      \uncover<1->{\draw [<-, color=red] (3Dkoord5x1.center) -- (3Dkoord5base.center);}
      \uncover<1->{\draw [<->, color=blue] (3Dkoord5y1.center) -- (3Dkoord5y2.center);}
      \uncover<1->{\draw [<->, color=black] (3Dkoord5z1.center) -- (3Dkoord5z2.center);}
      \uncover<1->{\node [label, below=0cm of 3Dkoord5z1] (3Dkoord5baselabel) {$\text{u}_{\text{i+1,j,k}}$};}

      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord6base] (3Dkoord6x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord6base] (3Dkoord6x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord6base] (3Dkoord6z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord6base] (3Dkoord6z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord6base] (3Dkoord6y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord6y1base] (3Dkoord6y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord6base] (3Dkoord6y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord6y2base] (3Dkoord6y2) {};}
      \uncover<1->{\draw [<->, color=red] (3Dkoord6x1.center) -- (3Dkoord6x2.center);}
      \uncover<1->{\draw [<->, color=blue] (3Dkoord6y1.center) -- (3Dkoord6y2.center);}
      \uncover<1->{\draw [->, color=black] (3Dkoord6base.center) -- (3Dkoord6z2.center);}
      \uncover<1->{\node [label, right=0.2cm of 3Dkoord6y1] (3Dkoord6baselabel) {$\text{w}_{\text{i,j,k-1}}$};}

      \uncover<1->{\node [grid, left=0.15cm of 3Dkoord7base] (3Dkoord7x1) {};}
      \uncover<1->{\node [grid, right=0.15cm of 3Dkoord7base] (3Dkoord7x2) {};}
      \uncover<1->{\node [grid, below=0.15cm of 3Dkoord7base] (3Dkoord7z1) {};}
      \uncover<1->{\node [grid, above=0.15cm of 3Dkoord7base] (3Dkoord7z2) {};}
      \uncover<1->{\node [grid, left=0.03cm of 3Dkoord7base] (3Dkoord7y1base) {};}
      \uncover<1->{\node [grid, below=0.03cm of 3Dkoord7y1base] (3Dkoord7y1) {};}
      \uncover<1->{\node [grid, right=0.03cm of 3Dkoord7base] (3Dkoord7y2base) {};}
      \uncover<1->{\node [grid, above=0.03cm of 3Dkoord7y2base] (3Dkoord7y2) {};}
      \uncover<1->{\draw [<->, color=red] (3Dkoord7x1.center) -- (3Dkoord7x2.center);}
      \uncover<1->{\draw [<->, color=blue] (3Dkoord7y1.center) -- (3Dkoord7y2.center);}
      \uncover<1->{\draw [<->, color=black] (3Dkoord7z1.center) -- (3Dkoord7z2.center);}
      \uncover<1->{\node [label, right=0.2cm of 3Dkoord7y1] (3Dkoord7baselabel) {$\text{s}_{\text{i,j,k}}$};}
   \end{tikzpicture}
\end{frame}


%Folie 04
\begin{frame}
   \frametitle{PALM - Ocean Version - Boundary Conditions}
   
   The following boundary conditions should be used for the ocean version. Some of them are not set by default, so please set them manually.\\
   
   \begin{itemize}
      \item<2->{Ocean surface (z=0):}
      \begin{itemize}
         \item<2->{Fluxes should be given at the ocean surface for all quantities. This requires parameter\\\quad{\tiny \texttt{top\_momentum\_flux\_u = ..., top\_momentum\_flux\_v = ..., bc\_uv\_t = ‘neumann’}}}
         \item<3->{Momentum:\\\quad{\tiny \texttt{use\_top\_fluxes = .TRUE.}}}
         \item<4->{Temperature:\\\quad{\tiny \texttt{top\_heatflux = ..., bc\_pt\_t = ‘neumann’}}}
         \item<5->{Salinity:\\\quad{\tiny \texttt{top\_salinityflux = ..., bc\_sa\_t = ‘neumann’}}}
      \end{itemize}
      \item<6->{Ocean bottom (z=-...)}
      \begin{itemize}
         \item<6->{A Prandtl-layer should be used at the bottom:\\\quad{\tiny \texttt{prandtl\_layer = .TRUE.}}}
      \end{itemize}
   \end{itemize}
\end{frame}


%Folie 05
\begin{frame}
   \frametitle{PALM - Ocean Version - Further Settings}
   \begin{itemize}
      \item<2->{Initial profiles:}
      \begin{itemize}
         \item<2->{The ocean version can only use:\\\quad{\tiny \texttt{initializing\_actions = ‘set\_constant\_profiles’}}}
         \item<3->{Profiles are constructed piecewise linear \underline{from the top} (surface), using parameters (e.g.):\\\quad{\tiny \texttt{pt\_surface = ..., pt\_initial\_gradient = ..., pt\_initial\_gradient\_level = ...}}}
      \end{itemize}
      \item<4->{Random perturbations:}
      \begin{itemize}
         \item<4->{Random perturbations are by default applied to the upper third of the model domain!}
      \end{itemize}
   \end{itemize}
\end{frame}

%Folie 06
\begin{frame}
   \frametitle{PALM - Ocean Version - Final Remarks}
   \begin{itemize}
      \item<2->{The ocean version of PALM has not been tested sufficiently so far! Only some plausibility checks have been done.}
      \item<3->{Please carefully check the results and please also check the code.}
      \item<4->{Effects of surface waves (Langmuir circulation, wave breaking) are not included in the standard code.}
   \end{itemize}
\end{frame}

\end{document}