From 1b17921572e236acf651c8b76d1e3040f8477fbb Mon Sep 17 00:00:00 2001 From: wolf Date: Mon, 12 Apr 2004 16:37:38 +0000 Subject: [PATCH] Mostly finish step-17. git-svn-id: https://svn.dealii.org/trunk@8991 0785d39b-7218-0410-832d-ea1e28bc413d --- .../step-17.data/results.html | 81 ++++++++++++++++-- .../step-17.data/solution-4-3d-partition.png | Bin 0 -> 23990 bytes .../step-17.data/solution-4-3d-ux.png | Bin 0 -> 85345 bytes 3 files changed, 76 insertions(+), 5 deletions(-) create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-17.data/solution-4-3d-partition.png create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-17.data/solution-4-3d-ux.png diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-17.data/results.html b/deal.II/doc/tutorial/chapter-2.step-by-step/step-17.data/results.html index 220fdd537b..029b72eacc 100644 --- a/deal.II/doc/tutorial/chapter-2.step-by-step/step-17.data/results.html +++ b/deal.II/doc/tutorial/chapter-2.step-by-step/step-17.data/results.html @@ -76,16 +76,22 @@ Cycle 15: Number of active cells: 987394 Number of degrees of freedom: 1994226 (by partition: 253276+249068+247430+248402+248496+251380+248272+247902) Solver converged in 1760 iterations. +Cycle 16: + Number of active cells: 1867477 + Number of degrees of freedom: 3771884 (by partition: 468452+474204+470818+470884+469960+ +471186+470686+475694) + Solver converged in 2251 iterations.

-As can be seen, we can easily get to almost two million unknowns. In fact, the +As can be seen, we can easily get to almost four million unknowns. In fact, the code's runtime with 8 processes was less than 7 minutes up to (and including) -cycle 14, and 14 minutes including the last step. This, if the debug flag in -the Makefile was changed to "off", i.e. "optimized". Here is some output -generated in the 12th cycle of the program, i.e. with roughly 300,000 -unknowns: +cycle 14, and 14 minutes including the second to last step. I lost the timing +information for the last step, though, but you get the idea. All this is if +the debug flag in the Makefile was changed to "off", i.e. "optimized". Here is +some output generated in the 12th cycle of the program, i.e. with roughly +300,000 unknowns:

@@ -136,3 +142,68 @@ then lead to slightly different mesh cells tagged for refinement, and larger differences in subsequent steps. The solution will always look very similar, though.

+ +

+Finally, here are some results for a 3d simulation. You can repeat these by +first changing +

+        ElasticProblem<2> elastic_problem;
+
+to +
+        ElasticProblem<3> elastic_problem;
+
+in the main function, and then in the Makefile, change the reference to the 2d +libraries to their 3d counterparts. If you then run the program in parallel, +you get something similar to this (this is for a job with 16 processes): +
+Cycle 0:
+   Number of active cells:       512
+   Number of degrees of freedom: 2187 (by partition: 114+156+150+114+114+210+105+102+120+120+96+123+141+183+156+183)
+   Solver converged in 27 iterations.
+Cycle 1:
+   Number of active cells:       1604
+   Number of degrees of freedom: 6549 (by partition: 393+291+342+354+414+417+570+366+444+288+543+525+345+387+489+381)
+   Solver converged in 42 iterations.
+Cycle 2:
+   Number of active cells:       4992
+   Number of degrees of freedom: 19167 (by partition: 1428+1266+1095+1005+1455+1257+1410+1041+1320+1380+1080+1050+963+1005+1188+1224)
+   Solver converged in 65 iterations.
+Cycle 3:
+   Number of active cells:       15485
+   Number of degrees of freedom: 56760 (by partition: 3099+3714+3384+3147+4332+3858+3615+3117+3027+3888+3942+3276+4149+3519+3030+3663)
+   Solver converged in 96 iterations.
+Cycle 4:
+   Number of active cells:       48014
+   Number of degrees of freedom: 168762 (by partition: 11043+10752+9846+10752+9918+10584+10545+11433+12393+11289+10488+9885+10056+9771+11031+8976)
+   Solver converged in 132 iterations.
+Cycle 5:
+   Number of active cells:       148828
+   Number of degrees of freedom: 492303 (by partition: 31359+30588+34638+32244+30984+28902+33297+31569+29778+29694+28482+28032+32283+30702+31491+28260)
+   Solver converged in 179 iterations.
+Cycle 6:
+   Number of active cells:       461392
+   Number of degrees of freedom: 1497951 (by partition: 103587+100827+97611+93726+93429+88074+95892+88296+96882+93000+87864+90915+92232+86931+98091+90594)
+   Solver converged in 261 iterations.
+
+

+ +

+The last step, going up to 1.5 million unknowns, takes about 55 minutes with +16 processes on 8 dual-processor machines. The graphical output generated by +this job is rather large (cycle 5 already prints around 82 MB of GMV data), so +we contend ourselves with showing output from cycle 4 (again, clicking on the +picture gives a version in original size): +

+ +

+ uy + ux +

+ +

+The left picture shows the partitioning of the cube into 16 processes, whereas +the right one shows the x-displacement along two cutplanes through the cube. +

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