In the present case, a relatively low number of tracer particles are used.
Consequently, tracking their motion is relatively cheap.
-The following images present the initial and the final configuration of the
-simulation domain:
-
-
-<p align="center">
- <div class="img" align="center">
- <img src="https://www.dealii.org/images/steps/developer/step-70.initial_configuration.png"
- alt = ""
- width="500">
- </div>
-</p>
-
+The following movie shows the evolution of the solution over time:
+@htmlonly
<p align="center">
- <div class="img" align="center">
- <img src="https://www.dealii.org/images/steps/developer/step-70.final_configuration.png"
- alt = ""
- width="500">
- </div>
-</p>
-
-We see that, generally, the tracer particles have somewhat returned to their
+ <iframe width="560" height="315" src="https://www.youtube.com/embed/y4Gypj2jpXw"
+ frameborder="0"
+ allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture"
+ allowfullscreen></iframe>
+ </p>
+@endhtmlonly
+
+The movie shows the rotating obstacle in gray (actually a
+superposition of the solid particles plotted with large enough dots
+that they overlap), <a
+href="https://en.wikipedia.org/wiki/Streamlines,_streaklines,_and_pathlines">streamlines
+of the fluid flow</a> in light colors (including the corner vertices
+that form at specific times during the simulation), and the tracer particles in
+bluish tones.
+
+The simulation shows that at the end time,
+the tracer particles have somewhat returned to their
original position, although they have been distorted by the flow field. The
following image compares the initial and the final position of the particles
after one time unit of flow.
equations. The first two errors are the leading cause of this deformation and
they could be alleviated by the use of a finer mesh and a lower time step.
+
<h3> Three dimensional test case </h3>
To play around a little bit, we complicate the fictitious domain (taken from