From 9ca81a046eb056930859f8f6b03a1ec4c6088fda Mon Sep 17 00:00:00 2001 From: Benjamin Rodenberg Date: Wed, 11 Oct 2023 17:02:13 +0200 Subject: [PATCH] Add image to documentation. --- partitioned-heat-conduction-schwarz/README.md | 6 ++ .../images/.gitignore | 9 +++ .../images/tikzcode.tex | 75 ++++++++++++++++++ ...titioned-heat-conduction-schwarz-setup.pdf | Bin 0 -> 38392 bytes ...titioned-heat-conduction-schwarz-setup.png | Bin 0 -> 15144 bytes 5 files changed, 90 insertions(+) create mode 100644 partitioned-heat-conduction-schwarz/images/.gitignore create mode 100644 partitioned-heat-conduction-schwarz/images/tikzcode.tex create mode 100644 partitioned-heat-conduction-schwarz/images/tutorials-partitioned-heat-conduction-schwarz-setup.pdf create mode 100644 partitioned-heat-conduction-schwarz/images/tutorials-partitioned-heat-conduction-schwarz-setup.png diff --git a/partitioned-heat-conduction-schwarz/README.md b/partitioned-heat-conduction-schwarz/README.md index 6796c34f7..63394920d 100644 --- a/partitioned-heat-conduction-schwarz/README.md +++ b/partitioned-heat-conduction-schwarz/README.md @@ -9,6 +9,12 @@ summary: We solve a simple heat equation. The domain is partitioned and the coup Get the [case files of this tutorial](https://github.com/precice/tutorials/tree/master/partitioned-heat-conduction-schwarz). Read how in the [tutorials introduction](https://www.precice.org/tutorials.html). {% endnote %} +## Setup + +We solve a partitioned heat equation, but apply an overlapping Schwarz-type domain decomposition method in this tutorial. + +![Case setup of partitioned-heat-conduction case with Schwarz-type domain decomposition](images/tutorials-partitioned-heat-conduction-schwarz-setup.png) + ## Running the simulation This tutorial is for FEniCS. diff --git a/partitioned-heat-conduction-schwarz/images/.gitignore b/partitioned-heat-conduction-schwarz/images/.gitignore new file mode 100644 index 000000000..ac9a58916 --- /dev/null +++ b/partitioned-heat-conduction-schwarz/images/.gitignore @@ -0,0 +1,9 @@ +*.aux +*.auxlock +*.fdb_latexmk +*.fls +*.log +tikzcode.pdf +*.synctex.gz +*.dpth +*.md5 diff --git a/partitioned-heat-conduction-schwarz/images/tikzcode.tex b/partitioned-heat-conduction-schwarz/images/tikzcode.tex new file mode 100644 index 000000000..cb5184484 --- /dev/null +++ b/partitioned-heat-conduction-schwarz/images/tikzcode.tex @@ -0,0 +1,75 @@ +\documentclass{standalone} + +\usepackage{tikz} +\usetikzlibrary{fit,positioning,calc} + +\usepackage{pgfplots} +\pgfplotsset{ + compat=1.16, +} +\usepgfplotslibrary{external} +\tikzexternalize[ + only named, +] + +\definecolor{pblue}{RGB}{0,102,189} % precice blue +\definecolor{porange}{RGB}{243,98,33} % precice orange + +% Make the 'export as png' a seperate style, with default density 200 +\tikzset{ + export as png/.style={ + external/system call/.add={}{ + && convert -density #1 -transparent white "\image.pdf" "\image.png" + }, + }, + export as png/.default={200}, +} + +\begin{document} + +\tikzset{export as png} +\tikzsetnextfilename{tutorials-partitioned-heat-conduction-schwarz-setup} +\begin{tikzpicture} + \draw[fill=pblue!50](0,0) rectangle ++(1,1); + \draw + (0,0) coordinate (a) + rectangle + ++(3,3) coordinate (b); + \node[fill=pblue!50, draw=black, fit=(a) (b),inner sep=0pt] (participantL) {$\Omega_\mathcal{L}$}; + + \draw + ($(participantL.south east)+(1,0)$) coordinate (a) + rectangle + ++(3,3) coordinate (b); + \node[fill=porange!50, draw=black, fit=(a) (b),inner sep=0pt] (participantR) {$\Omega_\mathcal{R}$}; + + \draw + ($(participantL.south east)-(1,0)$) coordinate (a) + rectangle + ($(participantL.north east)$) coordinate (b); + \node[fill=porange!50,opacity=0.5, fit=(a) (b),inner sep=0pt] (overlapL){}; + + \draw + ($(participantR.south west)+(1,0)$) coordinate (a) + rectangle + ($(participantR.north west)$) coordinate (b); + \node[fill=pblue!50,opacity=0.5, fit=(a) (b),inner sep=0pt] (overlapR){}; + + \node[below = 0.2cm of participantR](overlapLabel){Overlapping region: $\Omega_\mathcal{R}\cap\Omega_\mathcal{L}$}; + \draw[dashed] ([yshift=-.5cm]overlapL.center) -- (overlapLabel); + \draw[dashed] ([yshift=-.5cm]overlapR.center) -- (overlapLabel); + + \draw[very thick, pblue]($(participantL.south east)-(1,0)$) -- ($(participantL.north east)-(1,0)$); + \draw[very thick, porange]($(participantR.south west)+(1,0)$) -- ($(participantR.north west)+(1,0)$); + + \draw[very thick, porange](participantL.south east) -- node[left]{$\Gamma_\mathcal{R}$}($(participantL.north east)$); + \draw[very thick, pblue](participantR.south west) -- node[right]{$\Gamma_\mathcal{L}$} ($(participantR.north west)$); + + \node[left = 0cm of participantL,align=center] {Dirichlet solver $\mathcal{L}$\\ acts on left part $\Omega_\mathcal{L}$}; + \node[right = 0cm of participantR,align=center] {Dirichlet solver $\mathcal{R}$\\ acts on right part $\Omega_\mathcal{R}$}; + + \draw[->]($(participantR.north west)+(1,0)$) to[out=150,in=30] node[above right,align=center]{Temperature $u$ on $\Gamma_\mathcal{R}$ for $\mathcal{L}$} (participantL.north east); + \draw[->]($(participantL.north east)-(1,0)$) to[out=30,in=150] node[above left,align=center]{Temperature $u$ on $\Gamma_\mathcal{L}$ for $\mathcal{R}$} (participantR.north west); +\end{tikzpicture} + +\end{document} \ No newline 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