diff options
Diffstat (limited to 'img')
10 files changed, 261 insertions, 5 deletions
diff --git a/img/data/poiseuille2d_refined_order2ipol_velocity_outflow_bb_walls.csv b/img/data/poiseuille2d_refined_order2ipol_velocity_outflow_bb_walls.csv new file mode 100644 index 0000000..48eb46f --- /dev/null +++ b/img/data/poiseuille2d_refined_order2ipol_velocity_outflow_bb_walls.csv @@ -0,0 +1,20 @@ +geometry;ux;uy;p;x;y +4;0,10501491;0;1;4;0,050000001 +4;0,3021979;0;1;4;0,1 +4;0,47633973;0;1;4;0,15000001 +4;0,6270411;0;1;4;0,2 +4;0,75486946;0;1;4;0,25 +4;0,8595866;0;1;4;0,30000001 +4;0,94110405;0;1;4;0,34999999 +4;0,99936461;0;1;4;0,40000001 +4;1,03435;0;1;4;0,44999999 +4;1,0460171;0;1;4;0,5 +4;1,03435;0;1;4;0,55000001 +4;0,99936461;0;1;4;0,60000002 +4;0,94110405;0;1;4;0,64999998 +4;0,8595866;0;1;4;0,69999999 +4;0,75486946;0;1;4;0,75 +4;0,6270411;0;1;4;0,80000001 +4;0,47633973;0;1;4;0,85000002 +4;0,3021979;0;1;4;0,89999998 +4;0,10501491;0;1;4;0,94999999 diff --git a/img/data/poiseuille2d_refined_order2ipol_velocity_outflow_velocity_walls.csv b/img/data/poiseuille2d_refined_order2ipol_velocity_outflow_velocity_walls.csv new file mode 100644 index 0000000..85b0053 --- /dev/null +++ b/img/data/poiseuille2d_refined_order2ipol_velocity_outflow_velocity_walls.csv @@ -0,0 +1,20 @@ +geometry,ux,uy,p,x,y +4,0.18898219,0,1,4,0.050000001 +4,0.36055607,0,1,4,0.1 +4,0.51207048,0,1,4,0.15000001 +4,0.64336717,0,1,4,0.2 +4,0.75464326,0,1,4,0.25 +4,0.84575975,0,1,4,0.30000001 +4,0.91669858,0,1,4,0.34999999 +4,0.96739316,0,1,4,0.40000001 +4,0.99782735,0,1,4,0.44999999 +4,1.0079721,0,1,4,0.5 +4,0.99782735,0,1,4,0.55000001 +4,0.96739316,0,1,4,0.60000002 +4,0.91669858,0,1,4,0.64999998 +4,0.84575975,0,1,4,0.69999999 +4,0.75464326,0,1,4,0.75 +4,0.64336717,0,1,4,0.80000001 +4,0.51207048,0,1,4,0.85000002 +4,0.36055607,0,1,4,0.89999998 +4,0.18898219,0,1,4,0.94999999 diff --git a/img/data/poiseuille2d_refined_order4ipol_velocity_outflow_bb_walls.csv b/img/data/poiseuille2d_refined_order4ipol_velocity_outflow_bb_walls.csv new file mode 100644 index 0000000..37db705 --- /dev/null +++ b/img/data/poiseuille2d_refined_order4ipol_velocity_outflow_bb_walls.csv @@ -0,0 +1,20 @@ +geometry;ux;uy;p;x;y +4;0,10513373;0;1;4;0,050000001 +4;0,30253884;0;1;4;0,1 +4;0,47687662;0;1;4;0,15000001 +4;0,62774706;0;1;4;0,2 +4;0,75571918;0;1;4;0,25 +4;0,86055434;0;1;4;0,30000001 +4;0,94216371;0;1;4;0,34999999 +4;1,00049;0;1;4;0,40000001 +4;1,035515;0;1;4;0,44999999 +4;1,0471953;0;1;4;0,5 +4;1,035515;0;1;4;0,55000001 +4;1,00049;0;1;4;0,60000002 +4;0,94216371;0;1;4;0,64999998 +4;0,86055434;0;1;4;0,69999999 +4;0,75571918;0;1;4;0,75 +4;0,62774706;0;1;4;0,80000001 +4;0,47687662;0;1;4;0,85000002 +4;0,30253884;0;1;4;0,89999998 +4;0,10513373;0;1;4;0,94999999 diff --git a/img/data/poiseuille2d_refined_order4ipol_velocity_outflow_velocity_walls.csv b/img/data/poiseuille2d_refined_order4ipol_velocity_outflow_velocity_walls.csv new file mode 100644 index 0000000..b0125c3 --- /dev/null +++ b/img/data/poiseuille2d_refined_order4ipol_velocity_outflow_velocity_walls.csv @@ -0,0 +1,20 @@ +geometry,ux,uy,p,x,y +4,0.18905593,0,1,4,0.050000001 +4,0.36069685,0,1,4,0.1 +4,0.51227051,0,1,4,0.15000001 +4,0.6436184,0,1,4,0.2 +4,0.75493807,0,1,4,0.25 +4,0.8460902,0,1,4,0.30000001 +4,0.91705674,0,1,4,0.34999999 +4,0.96777117,0,1,4,0.40000001 +4,0.99821723,0,1,4,0.44999999 +4,1.008366,0,1,4,0.5 +4,0.99821723,0,1,4,0.55000001 +4,0.96777117,0,1,4,0.60000002 +4,0.91705674,0,1,4,0.64999998 +4,0.8460902,0,1,4,0.69999999 +4,0.75493807,0,1,4,0.75 +4,0.6436184,0,1,4,0.80000001 +4,0.51227051,0,1,4,0.85000002 +4,0.36069685,0,1,4,0.89999998 +4,0.18905593,0,1,4,0.94999999 diff --git a/img/data/poiseuille2d_unrefined_coarse_velocity_outflow_velocity_walls.csv b/img/data/poiseuille2d_unrefined_coarse_velocity_outflow_velocity_walls.csv new file mode 100644 index 0000000..417ccd6 --- /dev/null +++ b/img/data/poiseuille2d_unrefined_coarse_velocity_outflow_velocity_walls.csv @@ -0,0 +1,10 @@ +geometry,ux,uy,p,x,y +4,0.35229355,0,1,4,0.1 +4,0.63773042,0,1,4,0.2 +4,0.84351379,0,1,4,0.30000001 +4,0.96691775,0,1,4,0.40000001 +4,1.0083944,0,1,4,0.5 +4,0.96691775,0,1,4,0.60000002 +4,0.84351379,0,1,4,0.69999999 +4,0.63773042,0,1,4,0.80000001 +4,0.35229355,0,1,4,0.89999998 diff --git a/img/data/poiseuille2d_unrefined_velocity_outflow_bb_walls.csv b/img/data/poiseuille2d_unrefined_velocity_outflow_bb_walls.csv new file mode 100644 index 0000000..bcf70bd --- /dev/null +++ b/img/data/poiseuille2d_unrefined_velocity_outflow_bb_walls.csv @@ -0,0 +1,20 @@ +geometry;ux;uy;p;x;y +4;0,10556783;0;1;4;0,94999999 +4;0,30378494;0;1;4;0,89999998 +4;0,47883838;0;1;4;0,85000002 +4;0,63032639;0;1;4;0,80000001 +4;0,75882447;0;1;4;0,75 +4;0,86409104;0;1;4;0,69999999 +4;0,94603628;0;1;4;0,64999998 +4;1,0046031;0;1;4;0,60000002 +4;1,0397729;0;1;4;0,55000001 +4;1,0515014;0;1;4;0,5 +4;1,0397729;0;1;4;0,44999999 +4;1,0046031;0;1;4;0,40000001 +4;0,94603628;0;1;4;0,34999999 +4;0,86409104;0;1;4;0,30000001 +4;0,75882447;0;1;4;0,25 +4;0,63032639;0;1;4;0,2 +4;0,47883838;0;1;4;0,15000001 +4;0,30378494;0;1;4;0,1 +4;0,10556783;0;1;4;0,050000001 diff --git a/img/data/poiseuille2d_unrefined_velocity_outflow_velocity_walls.csv b/img/data/poiseuille2d_unrefined_velocity_outflow_velocity_walls.csv new file mode 100644 index 0000000..ee4741c --- /dev/null +++ b/img/data/poiseuille2d_unrefined_velocity_outflow_velocity_walls.csv @@ -0,0 +1,20 @@ +geometry,ux,uy,p,x,y +4,0.1880112,0,1,4,0.050000001 +4,0.35870126,0,1,4,0.1 +4,0.50943297,0,1,4,0.15000001 +4,0.64005154,0,1,4,0.2 +4,0.75075144,0,1,4,0.25 +4,0.84139568,0,1,4,0.30000001 +4,0.91196662,0,1,4,0.34999999 +4,0.96239835,0,1,4,0.40000001 +4,0.99267453,0,1,4,0.44999999 +4,1.0027666,0,1,4,0.5 +4,0.99267453,0,1,4,0.55000001 +4,0.96239835,0,1,4,0.60000002 +4,0.91196662,0,1,4,0.64999998 +4,0.84139568,0,1,4,0.69999999 +4,0.75075144,0,1,4,0.75 +4,0.64005154,0,1,4,0.80000001 +4,0.50943297,0,1,4,0.85000002 +4,0.35870126,0,1,4,0.89999998 +4,0.1880112,0,1,4,0.94999999 diff --git a/img/poiseuille2d_grid.tikz b/img/poiseuille2d_grid.tikz index 3df52a8..8ca285f 100644 --- a/img/poiseuille2d_grid.tikz +++ b/img/poiseuille2d_grid.tikz @@ -7,10 +7,10 @@ xmin=0, xmax=4, ymin=0, ymax=1, scatter/classes={ - 1={color=blue}, - 2={color=black}, - 3={color=green}, - 4={color=red} + 1={color=blue!50!white}, + 2={color=gray!70!black}, + 3={color=green!70!black}, + 4={color=red!70!black} }, legend style={ at={(0.5,-0.2)}, diff --git a/img/poiseuille2d_velocity_grid.tikz b/img/poiseuille2d_velocity_grid.tikz index 4326784..61afaeb 100644 --- a/img/poiseuille2d_velocity_grid.tikz +++ b/img/poiseuille2d_velocity_grid.tikz @@ -7,14 +7,25 @@ xmin=0, xmax=4, ymin=0, ymax=1, point meta=explicit, - colormap/bluered, colorbar, + colormap/RdYlBu-4, + colormap={reverse RdYlBu-4}{ + indices of colormap={ + \pgfplotscolormaplastindexof{RdYlBu-4},...,0 of RdYlBu-4 + } + }, colorbar horizontal, colorbar style={ /pgf/number format/precision=2, at={(0.5,-0.2)}, anchor=north, width=0.5*\pgfkeysvalueof{/pgfplots/parent axis width}, + ylabel=\(m/s\), + y label style={ + at={(axis description cs:1.3,0.5)}, + rotate=-90, + anchor=east + } }, scatter/use mapped color={color=mapped color} ] diff --git a/img/poiseuille2d_velocity_outflow.tikz b/img/poiseuille2d_velocity_outflow.tikz new file mode 100644 index 0000000..9b39e1e --- /dev/null +++ b/img/poiseuille2d_velocity_outflow.tikz @@ -0,0 +1,115 @@ +\begin{tikzpicture} +\pgfplotstableread[col sep=comma]{img/data/poiseuille2d_refined_order4ipol_velocity_outflow_velocity_walls.csv}\refinedCubicIpol +\pgfplotstableread[col sep=comma]{img/data/poiseuille2d_refined_order2ipol_velocity_outflow_velocity_walls.csv}\refinedLinearIpol +\pgfplotstableread[col sep=comma]{img/data/poiseuille2d_unrefined_velocity_outflow_velocity_walls.csv}\unrefined +\pgfplotstableread[col sep=comma]{img/data/poiseuille2d_unrefined_coarse_velocity_outflow_velocity_walls.csv}\coarse + +\begin{axis}[ + scale only axis, + height=8cm, + width=0.4*\textwidth, + mark size=4, + legend cell align=left, + legend style={at={(0.9,-0.1)},anchor=north}, + grid=both, + ylabel=\(x\)-Geschwindigkeit + xtick={0,0.25,0.5,0.75,1}, + title=Geschwindigkeitsprofil, + every axis plot/.append style={thick} +] + +\addplot[ + only marks, + mark=x, + color=green!70!black +] table [ + x=y, y=ux +] {\refinedCubicIpol}; +\addlegendentry{Halbseitig verfeinertes Gitter mit kubischer Interpolation}; + +\addplot[ + only marks, + mark=+, + color=red!70!black +] table [ + x=y, y=ux +] {\refinedLinearIpol}; +\addlegendentry{Halbseitig verfeinertes Gitter mit linearer Interpolation}; + +\addplot[ + only marks, + mark=asterisk, + color=blue!50!white +] table[ + x=y, y=ux +] {\unrefined}; +\addlegendentry{Uniform fein aufgelöstes Gitter}; + +\addplot[ + only marks, + mark=star, + color=gray +] table[ + x=y, y=ux +] {\coarse}; +\addlegendentry{Uniform grob aufgelöstes Gitter}; + +\addplot [domain=0.05:0.95, samples=100]{-4*x*(x-1)}; +\addlegendentry{Analytische Lösung} +\end{axis} + +\begin{axis}[ + scale only axis, + height=8cm, + width=0.4*\textwidth, + mark size=4, + grid=both, + xtick={0,0.25,0.5,0.75,1}, + xshift=7cm, + scaled y ticks=false, + ylabel=Fehler, + yticklabel pos=right, + y tick label style={/pgf/number format/sci}, + title=Fehler zur analytischen Lösung, + every axis plot/.append style={thick} +] + +\addplot[ + only marks, + mark=x, + color=green!70!black +] table [ + x=y, + y expr=\thisrow{ux}+4*\thisrow{y}*(\thisrow{y}-1) +] {\refinedCubicIpol}; + +\addplot[ + only marks, + mark=+, + color=red!70!black +] table [ + x=y, + y expr=\thisrow{ux}+4*\thisrow{y}*(\thisrow{y}-1) +] {\refinedLinearIpol}; + +\addplot[ + only marks, + mark=asterisk, + color=blue!50!white +] table[ + x=y, + y expr=\thisrow{ux}+4*\thisrow{y}*(\thisrow{y}-1) +] {\unrefined}; + +\addplot[ + only marks, + mark=star, + color=gray +] table[ + x=y, + y expr=\thisrow{ux}+4*\thisrow{y}*(\thisrow{y}-1) +] {\coarse}; + +\addplot [domain=0:1, samples=100]{0}; +\end{axis} +\end{tikzpicture} |