setup described

tex/header/preamble.tex

@@ -14,7 +14,11 @@
 \usepackage{silence}                  % Package that lets ignore warnings and errors for using packages in subdirectories
 \WarningFilter{latex}{You have requested package `.maindir/tex/header/}
 
-\usepackage[tikz]{.maindir/tex/header/stdmath} % , scriptLetters
+\usepackage{.maindir/tex/header/stdmath} % , scriptLetters
+\usepackage{listings}
+\lstMakeShortInline[columns=fixed]|
+\usepackage[section]{placeins}  % makes sure that the figures stay within their section
+\usepackage{siunitx}
 
 \setmainfont{Latin Modern Roman}
 \setsansfont{Latin Modern Sans}

tex/main.tex

@@ -5,6 +5,7 @@
 \author{Felix Hilsky}
 \maketitle
 % use \textinput as described in /header and _TEMPLATE
+\textinput{setup}
 \begin{appendices}
   % \textinput{some-appendix-section}
 \end{appendices}

tex/setup.tex

@@ -3,6 +3,7 @@
 \input{.maindir/tex/header/preamble-section}
 % inputs the preamble only if necessary
 \docStart
+
 \section{Mesh}
 The mesh has two zones: one around the cylinder and a wider one for the remainder of the domain.
 The zone around the cylinder is a square with arked edges.
@@ -29,19 +30,44 @@ In order to keep the cell sizes similar at the corners of the square, the number
 \end{figure}
 
 \section{Boundary values and parameters}
+% The turbulence parameters $α_t$, $ν_t$, $k$, $ε$ and $ω$ have a wall function as the boundary value at the cylinder: |alphatJayatillekeWallFunction|, |nutkWallFunction| with value $0$, |kqRWallFunction| with value \num{4e-5} and |epsilonWallFunction| with value \num{2e-8} and |omegaWallFunction| with value \num{5e-4} respectively.
+The turbulence parameters all have the condition |inletOutlet| for the inlet and the outlet.
+This is supposed to be an uniform condition at inflow (at inlet) and a zero gradient condition on the outlet.
 
+The pressure is calculated and the actual pressure boundary conditions are given for the adjusted pressure $p_{rgh}$.
+All other values have cyclic conditions on the top and bottom
+(|type cyclic;|)
+and empty conditions for front and back to ensure a 2D-problem.
 
-\section{Solvers}
-
-\section{Schemes}
+The other boundary conditions are listed in table \ref{fig:boundary}.
+\begin{table}[ht]
+  \centering
+  \caption{The boundary conditions for all value and boundaries except top, bottom, front and back.}
+  \label{tab:boundaryconditions}
+  \begin{tabular}{ccccc}
+    Value & std. value & inlet & outlet & cylinder \\
+    $α_t$ & 0 & inletOutlet & inletOutlet & |alphatJayatillekeWallFunction| \\
+    $ν_t$ & 0 & inletOutlet & inletOutlet & |nutkWallFunction| \\
+    $k$ & \num{4e-5} & inletOutlet & inletOutlet & |kqRWallFunction| \\
+    $ε$ & \num{2e-8} & inletOutlet & inletOutlet & |epsilonWallFunction| \\
+    $ω$ & \num{5e-4} & inletOutlet & inletOutlet & |omegaWallFunction| \\
+    $T$ & \num{300} & Dirichlet $T_{∞}$ & $∇T = 0$ & Dirichlet $T_w$ \\
+    $U$ & & Dirichlet $U_{in}$ & |fluxCorrectedVelocity| & |noSlip| \\
+    $p_{rgh}$ & & |fixedFluxPressure| & Dirichlet $0$ & $∇p_{rgh} = 0$
+  \end{tabular}
+\end{table}
 
-% do not use \input nor \begin{document nor \end{document}
+\section{Solvers}
+% check at end
+For $p_{rgh}$ preconditioned conjugate gradient (|PCG|) solver with |DIC|-smoothed |GAMG|-preconditioner.
+The preset |GAMG| solver with |DICGaussSeidel| preconditioner was used before and the change did not affect the runtime significantly.
 
-% write the text here
-% for including a tikz picture, place it in the directory tikz and
-% use \tikzinput{tikzpicture}
-% for including another tex (text) file, place it in the directory
-% tex and use \textinput{textfile}
-% for including some other file use \maininput{file/path/relative/to/main/repodir}
+For the other values a smooth solver with symmetric Gauss-Seidel smoother was used.
+The preset PBiCGStab solver was used before and the runtime was not significantly affected by the change.
 
+\section{Schemes}
+For the time derivative a |backward| scheme was used.
+Gauss linear was used as a gradient Scheme while |Gauss limitedLinear 1| was used as all divergence Schemes (in the vector version for $U$.)
+% I hope the other ones don't matter
+The wall distance (|wallDist|) is calculated via a |meshWave|.
 \docEnd