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a/deal.II/examples/step-1/doc/results.dox +++ b/deal.II/examples/step-1/doc/results.dox @@ -6,11 +6,11 @@ like this:
- @image html step-1.grid-1.png + - @image html step-1.grid-2.png +
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- @image html step-10.ball_mapping_q1_ref0.png + - @image html step-10.ball_mapping_q1_ref1.png +
- @image html step-10.ball_mapping_q2_ref0.png + - @image html step-10.ball_mapping_q2_ref1.png +
- @image html step-10.ball_mapping_q3_ref0.png + - @image html step-10.ball_mapping_q3_ref1.png +
@@ -61,13 +61,13 @@ with dashed lines the exact circle:
- @image html step-10.quarter-q1.png + - @image html step-10.quarter-q2.png + - @image html step-10.quarter-q3.png +
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over- and undershoots of the solution along the interface: -@image html step-12.grid-5.png -@image html step-12.3d-solution.png + + And finally we show a plot of a 3d computation. -@image html step-12.sol-5-3d.png + @@ -97,14 +97,14 @@ refinement, results look much different when using a continuous element: 0   - @image html step-12.cg.sol-0.png + 1   - @image html step-12.cg.sol-1.png + @@ -113,14 +113,14 @@ refinement, results look much different when using a continuous element: 2   - @image html step-12.cg.sol-2.png + 3   - @image html step-12.cg.sol-3.png + @@ -129,14 +129,14 @@ refinement, results look much different when using a continuous element: 4   - @image html step-12.cg.sol-4.png + 5   - @image html step-12.cg.sol-5.png + diff --git a/deal.II/examples/step-12/doc/step-12.3d-solution.png b/deal.II/examples/step-12/doc/step-12.3d-solution.png deleted file mode 100644 index 5520d747070b8d0e587d452c36365e138fd7859b..0000000000000000000000000000000000000000 GIT binary patch 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- @image html step-13.solution-kelly-0.png + - @image html step-13.solution-kelly-1.png +
- @image html step-13.solution-kelly-2.png + - @image html step-13.solution-kelly-3.png +
- @image html step-13.solution-kelly-4.png + - @image html step-13.solution-kelly-5.png +
- @image html step-13.solution-kelly-6.png + - @image html step-13.solution-kelly-7.png +
- @image html step-13.solution-kelly-8.png + - @image html step-13.solution-kelly-9.png +
@@ -107,7 +107,7 @@ While we're already at watching pictures, this is the eighth grid, as viewed from top: -@image html step-13.grid-kelly-8.png + However, we are not yet finished with evaluation the point value @@ -116,7 +116,7 @@ $e=|u(x_0)-u_h(x_0)|$ for the two refinement criteria yields the following picture: -@image html step-13.error.png + diff --git a/deal.II/examples/step-13/doc/step-13.error.png b/deal.II/examples/step-13/doc/step-13.error.png deleted file mode 100644 index 3752c0da30646a2647dd07beb1506a939f314281..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 5967 zcmd5=c|26_zklpnEafX9+enlw_03WkV=W~jO9>+-NlcRc__o+74bs?ZQkLw6vBb=z zg%J_5jKL%`B!i5Mj!|=`@Ar4_eck)Iuh+eQ-t&5$bDqyR&+~lVpZDkaoacN#DJL8b zOKeow2mp|h}~^0SMr$0zmu(05<^G z#%}@Ospv7;5FiaCP(b`q7ATGfdb)fR0NiT@R65}C0GZ4JH)tS$2PDWqTmUI(6beKU zKuehC4|wu`Ck}XkuT=i`ba7B6piSK1@kIEeY$Ob`0A$Tm2Bl012HiG_zqM6V9RgD1wP#ZMFHRs2}syfFqjJDdBkcU 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    - @image html step-14.point-value.solution-5.png + - @image html step-14.point-value.solution-5-dual.png +
    @@ -75,31 +75,31 @@ refinement, these are some of them:
    - @image html step-14.point-value.grid-0.png + - @image html step-14.point-value.grid-2.png +
    - @image html step-14.point-value.grid-4.png + - @image html step-14.point-value.grid-5.png +
    - @image html step-14.point-value.grid-7.png + - @image html step-14.point-value.grid-8.png +
    @@ -144,11 +144,11 @@ value:
    - @image html step-14.point-value.error.png + - @image html step-14.point-value.error-estimation.png +
    @@ -169,7 +169,7 @@ function $1/(r^2+0.1^2)$, where $r$ is the distance to the evaluation point; it can be shown that this is the optimal weight if we neglect the effects of boundaries): -@image html step-14.point-value.error-comparison.png + @@ -250,7 +250,7 @@ evaluation shows this:
    - @image html step-14.point-derivative.solution-5-dual.png +
    This time, the grids in refinement cycles 0, 5, 6, 7, 8, and 9 look @@ -258,31 +258,31 @@ like this:
    - @image html step-14.point-derivative.grid-0.png + - @image html step-14.point-derivative.grid-5.png +
    - @image html step-14.point-derivative.grid-6.png + - @image html step-14.point-derivative.grid-7.png +
    - @image html step-14.point-derivative.grid-8.png + - @image html step-14.point-derivative.grid-9.png +
    @@ -309,11 +309,11 @@ see a comparison of true and estimated error:
    - @image html step-14.point-derivative.error.png + - @image html step-14.point-derivative.error-estimation.png +
    @@ -340,11 +340,11 @@ respectively, look like this:
    - @image html step-14.step-13.grid-9.png + - @image html step-14.step-13.grid-10.png +
    @@ -356,7 +356,7 @@ like so:
    - @image html step-14.step-13.solution-7.png +
    @@ -370,7 +370,7 @@ important for computing the point value. The next point is to compare the new (duality based) mesh refinement criterion with the old ones. These are the results: -@image html step-14.step-13.error-comparison.png + diff --git a/deal.II/examples/step-14/doc/step-14.point-derivative.error-estimation.png b/deal.II/examples/step-14/doc/step-14.point-derivative.error-estimation.png deleted file mode 100644 index f9d87a2ffc9c81e016f1d61752fed26956cb0404..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 3796 zcmb_edo`?6sfE`kZicu_ww= zYyFdR5s;1fZQ;N}BIqG72X5F)@U za`$TvSAkDt&w~R^R~(7f^Z`int6zK&7(%{d>t|oInuhQbFVo zI2i;4Fb1@R1q(xg!2qh4ivM6Q8OI3%!4`l801N;b03HxT062gEU^oS7z669dKwv;8 z51I#ohyy|5&`g9oz5f`o0AZ$5Q>h@c2EfJ$&h`Qg2ZlfepdWw`D>X?0dqq%}L#Agy zMi!{j;158SxFm<=up5H8Kqdl#Q0*iwl7i%q@a_l5$^uC8QUDbHE=x*$6wYx$g(zI; zBo)#NWZb+4q_P1P0#I=&e@RWaLJHE~2RIG_0jS8G>zD1t3AlhEknMAo<{bbs2MFQd z5Cy^EK;{A=5}Y_7rG^7X00%?HxW6M2(h`utJr^62K=B7fHDLHjIdCCZ(hs#SUfNP3 z8sGsS2xXTC!%_}t(0~yIO`*`o1KbY;G??N;H4TVtAaLNJHv``wBXI1Ncg!@S0b&3Q z8uYOhcpM;m1A*t}umOS{f$RtbnxqZ?U*q}2hEhqcMSKTO$t4Dd|C)B~L6!iEV;pUm 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a/deal.II/examples/step-16/doc/results.dox b/deal.II/examples/step-16/doc/results.dox index 762f8091b4..02000b40fe 100644 --- a/deal.II/examples/step-16/doc/results.dox +++ b/deal.II/examples/step-16/doc/results.dox @@ -6,7 +6,7 @@ other hand, since no tutorial program is a good one unless it has at least one colorful picture, here is, again, the solution:

    - @image html step-16.solution.png +

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The following three images show (from left to right) the x-velocity, the y-velocity, and the pressure: -@image html step-20.u.png -@image html step-20.v.png -@image html step-20.p.png + + + @@ -215,8 +215,8 @@ With a significantly higher mesh resolution, we can visualize this, here with x- and y-velocity: -@image html step-20.u-wiggle.png -@image html step-20.v-wiggle.png + + It is obvious how fluids flow essentially only along the middle line, and not @@ -287,15 +287,15 @@ A piecewise constant interpolation of the diagonal elements of the inverse of this tensor (i.e., of normalized_permeability) looks as follows: -@image html step-20.k-random.png + With a permeability field like this, we would get x-velocities and pressures as follows: -@image html step-20.u-random.png -@image html step-20.p-random.png + + We will use these permeability fields again in step-21 and step-43. diff --git a/deal.II/examples/step-20/doc/step-20.k-random.png 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lowest, i.e. in the top right and bottom left sector of inner circle of the potential): -@image html step-36.mod.potential.png + The first five eigenfunctions are now like this: diff --git a/deal.II/examples/step-36/doc/step-36.default.eigenfunction.0.png b/deal.II/examples/step-36/doc/step-36.default.eigenfunction.0.png deleted file mode 100644 index 83ed98df5bb59ae7d70f4e870bd873282a62fdd0..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 27877 zcmeEsg;Sefur{=~L$Tr%f(4i2UL;6?LPC(X1b2txP~0UD+_kuSafjkiiWj#QiaXr= z?#%rszWLsnB$K?8v*+Ej`|R$s8=?7L2_J_F2L%NMAEf;50}2YNGxDW_^#b`zQ$2$l z@&nC6R$Uear8W-t0fvtJ&hM%Kb=7t-cl`o$Hba3z7~IXAU924J83efbcwt=DZg$2F zidG$#>d2Xh8~US45dA%0%Mzx;(LC=4i|cd|MjnSVMA5}8Nb_O8Y0JSQtg%YKw~ zs!i5dc$tfI<6#AK;~35aHzG_0oi7`_Hrm&&>XrFHk${nGf%#R=s9@8Wn!d3JdS4*SNTfV|ohJr~6_ zb#z>pb!tB7=rov+RgjXA{e_|fkvGL5Jt|sS)3M* zeD!?2KBuBJ?H*w*st}3NX)r?H?R^XqVLt`{A710@5nXM3b{HMeo+}7Mym^|}L`k}~ 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    Postprocessing of the logfile

    -@image html "step-39-convergence.png" + Using the perl script postprocess.pl, we extract relevant data into output.dat, which can be used to plot graphs with gnuplot. The graph above for instance was produced with diff --git a/deal.II/examples/step-39/doc/step-39-convergence.png b/deal.II/examples/step-39/doc/step-39-convergence.png deleted file mode 100644 index 3f85cdf0788236ab6e4c83ed9f8a9859203acb2c..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 4223 zcma)9dpJ~G``$D5Ff+m&oQc6OI?zNpmCVRti0E7@ZBh;u6UkZIkcbc^6`J_c0U5nH zPi9Z)98pPUlPFE)EJEhn-uL^x|NO4+yWVxJz1Oqu=eeKfUf0@dU)M_aUhAqv)FuJ| zpybAJS`PqN7yvL5yc~*PRTjTQCkwniHag2>G8EzS`EvsT0I&=JWWc}x!a`pFjfTh& z8UVBSuncAaGFS#65P%>61S1d(zyM1IGa(p;02bO{GzDstUsby%~5&NB46=8K>6X@bldoQ8AOk>HckG)p@jXG?&YNm&%&r=B-K+W{{ z_7YEe<9lD{sS4#nMbm5fD9@f+CLWuzAdBahRtjkvu>x{mHkJ zBBR`AY9;r41MZjiM85fv4Gb@`4IY|`a6fWj^vG;vokJ@i^OfDMt0E_NnnVw;fAqBL zC8M;;^`)rd>-=s}jcD3oXke6g;mfh-Uk3X!lGHH+i<6ob@kfFSL=IDmP|Ve&uMDI` zTEFFFX#yfTmMS6{CK^qr6wJJ78x=Qa@xCrety-P&)GBJ*hpF~|#csH!B}vfF0jmSJ zsvf*armYHx7roSu?8%E}#+jsmpH6DJG7A;x;vg%TEL0z-zw-B~c{jX9;4 zMVZIQoc8MOq~u@Id5^wY$(*Y#VIFf}&qE}3?H ztVoYfh{~N%8%hQ3-{6OScML{dw&_-gH((#JlAGCviBfh{KE^5nIXvacC2>QMq}<82 z#$Dk9t7?U26y1}hfE(B8I+iXT)?B4_#)W5eFeX@;qMLpP#p&j9bn!tOr5p`G_U!}k zV&3i{9U4Jd90Aj9fNo4KG$B;r@QOzDX@tXOjxhaIwI&MIm7ukX!mXA5NCuleg=_Cs zARK0FM!iKrs5h_&$KmZv*F-7wy(oC%3JNlM9Z=&C3CezFMFmrO(ljL0S=WM;U z;xS_I3eT72W#=WY?;0=katl2cdEsArt{G5I1>8^@g$r9mBU`z^A}dP#pxg~rD<^ot zRZ#TPAYE`GPr;zPGTH&Nw^*Hid$h61J<;-PVA*TE3mtu%M$SJx5}JZ9Crh$QE`Qld zEGJ2>KMPDt7pP+NO!e183l_8CW7j?hq%o$ov7av$aF-VBhbdw zvU#WR0yRp7Bm9HQ+K~k4^uYDHjFR*ID|Vz(J6cadTG;(-?ZnM4Wdv`S%iDRvgUZJj zZ4xMerYQ;Hm7uAMxp<$eTsdgUk#?@x@TcW&D4tly)p$(95O@1W>SK-@iS1XaUFJ_o zdD{%b(qk5`eR#H9ac^27|M^>KTSK{`Uaar)PqPQ(HIZ^MoPl^lj<0GZBOLAN3E%_srd_g+a{jXdrY==_EYfYuWUEDu;YQ@Dr&o14=6 z4{gl>igLW#zX)iU#*4MYMn^a+jbR!$x(VN|*3tE}K{wBU71-N=%n!!q6IBbY==7X=|{X3`5@j%V&7cJM^ zc-2^8VbqA84b8ebBJWfr z3>k5g!wK#x`^XaacSnZ?!zc}c{INnTW;X4OB!Y8s*e6l^MHm1UBbl64<4E3dy+1UpKo+ zd#L+6px|Y767`PO)wpO0fDgLT>NCT>)L%{!JSy^bz`0+FHfc7cM5bQUgP;M`37sY@Tvpts`Ah_ zJdJX2El6P02tl2f?cVqMqK%hLgh2wL|ERiBra(p zQ23UQs+#kP)e{cbwABw{MM*(03Z_(}Au&AG9%to%Xo+ zg{&xK!S;kntX=W(Z)rVy_GlYF*l_SxhwzF=-gyJ0d57wfTitXv_It*F&a>s59H2>+ zfzCFbdOSmcs>aN3#7Zqh;HxE_;6CfS;490T(P!gTx+rmh$<~QH@YRYhXMPzYvkyhl zqb-YE@m%1XtI;I~HoUq$PEqg-Je#W3;=FIGz?5C)C*Kp{oeH>KoYFh=3;q6Chq~pK z4o>5_w2-ExsF*qAl&{r9ejW{z<#N!naBg({1GxhdxU6e9J@l_)wEq3PL3H7}pP6yL znCauW-j8sh&3$s1EcX~o;ds6ZXk$L!%3a9D>K2H#Cr53ux@QOW79_A{yyFjNl|uA> zWz!i$q$9X3$e5YyVAE;ash`<z@&N}h33A@D+gFtb`VXq-m|U+Oe6k4 zt8NTFO~aI|KX0}aQ{tP9RtOa4i=~v&(z9E(Si~mWoZ9iDh!t>VgGR%Xtk0X@T(0eM zwZ!z~^Vh+ai)d}0O8KBo6*fM8?AA7u+eV zHI5@$u6R3W@Jd z97r4b5!L!FIVxThnx0@0mpC@nTc`$&D5iTQ9trs%3*TL1ePKF6p_?(&AG33Q8_woS zB@7k}CxG?i^GCyrP{M5Q#7iyHJhDXSgZbi|@(sXXn$Vrc2mg6xE7p;|*mZXMK|aP^ z4!wagGrM~4gpjaW>$7!LpsThq%9Q*6F%u}d$8zV;hORsH(F?V=QU01-e>@le=fu`Z yT=NRFX2UgjK~mQfxj?e}C4E~x)_<

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You can test this by changing the template argument in main() like @@ -50,7 +50,7 @@ then looks like so (the white curve is the domain, the colored curve is the solution extruded into the third dimension, clearly showing the change in sign as the curve moves from one quadrant of the domain into the adjacent one): -@image html step-38.solution-2d.png + @@ -67,9 +67,9 @@ before, we stretch it by a factor of 10 in the z-direction, and then we jumble the x- and y-coordinates a bit. Let's show the computational domain and the solution first before we go into details of the implementation below: -@image html step-38.warp-1.png + -@image html step-38.warp-2.png + The way to produce such a mesh is by using the GridTools::transform function. 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    - @image html step-36.mod.eigenfunction.0.png + - @image html step-36.mod.eigenfunction.1.png +
    - @image html step-36.mod.eigenfunction.2.png + - @image html step-36.mod.eigenfunction.3.png +
    - @image html step-36.mod.eigenfunction.4.png +
    - @image html step-40.mesh.png + - @image html step-40.solution.png +
    @@ -85,10 +85,10 @@ more interpretation can be found in the final version of the paper):
    - @image html step-40.strong2.png + - @image html step-40.strong.png +
    @@ -109,10 +109,10 @@ this in the following two graphs for 256 and 4096 processors:
    - @image html step-40.256.png + - @image html step-40.4096.png +
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z&3%6J`pM?xH7xuXy>e)=7rgRWAlz

    Modifying a Mesh

    @@ -128,10 +128,10 @@ a sin curve:
    - @image html step-49.grid-5a.png regular input mesh + regular input mesh - @image html step-49.grid-5.png output mesh + output mesh
    @@ -143,10 +143,10 @@ of this tutorial:
    - @image html step-49.grid-6a.png regular input mesh + regular input mesh - @image html step-49.grid-6.png wall-adapted output mesh + wall-adapted output mesh
    @@ -157,10 +157,10 @@ demonstrated in grid_7() and the result is as follows:
    - @image html step-49.grid-7a.png regular input mesh + regular input mesh - @image html step-49.grid-7.png perturbed output mesh + perturbed output mesh
    @@ -187,14 +187,14 @@ These are the input meshes and the output mesh:
    - @image html step-49.grid-2a.png input mesh 1 + input mesh 1 - @image html step-49.grid-2b.png input mesh 2 + input mesh 2 - @image html step-49.grid-2.png merged mesh + merged mesh
    @@ -210,11 +210,11 @@ centered by moving the top vertices upwards:
    - @image html step-49.grid-3a.png input mesh + input mesh - @image html step-49.grid-3.png top vertices moved upwards + top vertices moved upwards
    @@ -233,11 +233,11 @@ above. This is the output from grid_4():
    - @image html step-49.grid-4base.png input mesh + input mesh - @image html step-49.grid-4.png extruded output mesh + extruded output mesh
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The next image shows the final grid after eight steps of refinement: -@image html step-8.grid.png + What one frequently would like to do is to show the displacement as a vector @@ -46,7 +46,7 @@ step-22. The vector field then looks like this (Visit randomly selects a few hundred vertices from which to draw the vectors; drawing them from each individual vertex would make the picture unreadable): -@image html step-8.vectors.png + We note that one may have intuitively expected the diff --git a/deal.II/examples/step-8/doc/step-8.grid.png b/deal.II/examples/step-8/doc/step-8.grid.png deleted file mode 100644 index ce3c0c88d03a56c42ba7a97d997e192b82be739f..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 14804 zcmZ{LXFyX;&@R0b6zN5ZAOS)Z1frs$Hz9%0doR*NB1n^tfE0m%AW8xv5PB0rFNzYX zNLP9fB1L-h9^db~KkkqF<7D@2_OzLuXJ%)gjfd-NGSYF;k&uuuYHO((l8}%>{v9+x z1Bn&ew-TVBaD_dDk&slU(4X5=0_UVp3^i3qDh7ErfD?X4EyIT-BtbVxNW!B@NKS#K z@O2Urlr#wm(T;=!`kI7<-8Z)haToZ5%t2REjpT1!N`E_WM(d-Y@dPN5z;TTPGTqwx zuhCb_{9mKie}_izBjtaMPkmvoz;p9}Baj4Now!IsqFA7<215o;Z@vBTg!>En@5$fu zStCE8Sz%!`!DrLd(z1EQ>etr~YCk)v+FkoG^L^&Y#&us3LxHy{_Z6R<>OGhHW#=*&vbLX{ 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a/deal.II/examples/step-45/doc/intro.dox +++ b/deal.II/examples/step-45/doc/intro.dox @@ -20,7 +20,7 @@ parts of the boundary. In the figure below we show this concept in two space-dimensions. There, all dashed faces with the same color should have the same boundary values: -@image html step-45.periodic_cells.png + To keep things simple, in this tutorial we will consider an academic, simplified problem that allows us to focus on only that part that we are diff --git a/deal.II/examples/step-45/doc/results.dox b/deal.II/examples/step-45/doc/results.dox index 1d04dae9a6..4affd89176 100644 --- a/deal.II/examples/step-45/doc/results.dox +++ b/deal.II/examples/step-45/doc/results.dox @@ -14,7 +14,7 @@ solution is constant zero on the upper and the lower part of the boundary as required by the homogeneous Dirichlet boundary conditions. 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The solutions on these grids are, (Note: flux are normalized with total fission source equal to 1) -@image html step-28.solution-0.9.order2.png + -@image html step-28.solution-1.9.order2.png + Then we plot the convergence data with polynomial order being equal to 1,2 and 3. -@image html step-28.convergence.png + The estimated ``exact'' k-effective = 0.906834721253 which is simply from last mesh iteration of polynomial order 3 minus 2e-10. 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