From 28f388127a51cfe35f01ed238e49fda5645fa2e5 Mon Sep 17 00:00:00 2001 From: David Wells Date: Sun, 8 Jul 2018 15:17:53 -0400 Subject: [PATCH] step-9: Redo the graphical output. --- examples/step-9/doc/results.dox | 73 +++++++++++++++++++++++---------- 1 file changed, 51 insertions(+), 22 deletions(-) diff --git a/examples/step-9/doc/results.dox b/examples/step-9/doc/results.dox index 3dd4b6fea4..a13a493a6f 100644 --- a/examples/step-9/doc/results.dox +++ b/examples/step-9/doc/results.dox @@ -24,27 +24,56 @@ Cycle 5: Number of active cells: 27004 Number of degrees of freedom: 29810 @endcode -As can be seen, quite a number of cells is used on the finest level to -resolve the features of the solution. The final grid showing this is -displayed in the following picture: +Quite a number of cells are used on the finest level to resolve the features of +the solution. Here are the fourth and tenth grids: +
+
+ Fourth grid in the refinement cycle, showing some adaptivity to features. +
+
+ Tenth grid in the refinement cycle, showing that the waves are fully captured. +
+
+and the fourth and tenth solutions: +
+
+ Fourth solution, showing that we resolve most features but some + are sill unresolved and appear blury. +
+
+ Tenth solution, showing a fully resolved flow. +
+
+and both the grid and solution zoomed in: +
+
+ Detail of the fourth solution, showing that we resolve most + features but some are sill unresolved and appear blury. In particular, + the larger cells need to be refined. +
+
+ Detail of the tenth solution, showing that we needed a lot more + cells than were present in the fourth solution. +
+
- - - - -The structure of the grid will be understandable by looking at the -final solution itself: - - - - -(This image was generated using an earlier version of the program that -still generated gmv instead of VTK output, and so is visualized -using gmv.) -Note that the solution is created by that part that is transported -along the wiggly advection field from the left and lower boundaries -to the top right, and the part that is created by the source in the -lower left corner, and the results of which are also transported -along. The grid shown above is well-adapted to resolve these -features. +The solution is created by that part that is transported along the wiggly +advection field from the left and lower boundaries to the top right, and the +part that is created by the source in the lower left corner, and the results of +which are also transported along. The grid shown above is well-adapted to +resolve these features. The comparison between plots shows that, even though we +are using a high-order approximation, we still need adaptive mesh refinement to +fully resolve the wiggles. -- 2.39.5