Writing output...
Refinement cycle 3
- Number of active cells: 1096
- Number of degrees of freedom: 7737
+ Number of active cells: 1072
+ Number of degrees of freedom: 7493
Assembling...
Solving...
Writing output...
Refinement cycle 4
- Number of active cells: 2656
- Number of degrees of freedom: 15177
+ Number of active cells: 2632
+ Number of degrees of freedom: 15005
Assembling...
Solving...
Writing output...
Refinement cycle 5
- Number of active cells: 5992
- Number of degrees of freedom: 29061
+ Number of active cells: 5944
+ Number of degrees of freedom: 29437
Assembling...
Solving...
Writing output...
The results are easily visualized:
-<table width="60%" align="center">
+<table width="80%" align="center">
<tr valign="top">
<td valign="top" align="center">
- <img src="https://www.dealii.org/images/steps/developer/step-46.velocity-magnitude.png" alt="">
+ <img src="https://www.dealii.org/images/steps/developer/step-46.9.2.velocity-2d.png" alt="">
<p align="center">
- Magnitude of the fluid velocity.
+ Magnitude and vectors for the fluid velocity.
</p>
</td>
+
<td valign="top" align="center">
- <img src="https://www.dealii.org/images/steps/developer/step-46.pressure.png" alt="">
+ <img src="https://www.dealii.org/images/steps/developer/step-46.9.2.pressure-2d.png" alt="">
<p align="center">
Fluid pressure. The dynamic range has been truncated to cut off the
pressure singularities at the top left and right corners of the domain
into the fluid domain.
</p>
</td>
- </tr>
- <tr valign="top">
- <td valign="top" align="center">
- <img src="https://www.dealii.org/images/steps/developer/step-46.velocity.png" alt="">
- <p align="center">
- Fluid velocity.
- </p>
- </td>
+
<td valign="top" align="center">
- <img src="https://www.dealii.org/images/steps/developer/step-46.displacement.png" alt="">
+ <img src="https://www.dealii.org/images/steps/developer/step-46.9.2.displacement-2d.png" alt="">
<p align="center">
- Solid displacement.
+ Magnitude and vectors for the solid displacement.
</p>
</td>
</tr>
</table>
-In all figures, we have applied a mask to only show the original field, not
-the one extended by zero: for example, to plot the pressure, we have selected
-that part of the domain where the magnitude of the velocity is greater than
-$10^{-7}$.
-
The plots are easily interpreted: as the flow drives down on the left side and
-up on the right side of the upright part of the solid, it produces a shear
-force that pulls the left side down and the right side up. An additional part
-force comes from the pressure, which bears down on the left side of the top
-and pulls up on the right side. Both forces yield a net torque on the solid
-that bends it to the left, as confirmed by the plot of the displacement
-vectors.
+up on the right side of the upright part of the solid, it produces a
+pressure that is high on the left and low on the right, and these
+forces bend the vertical part of the solid to the right.
<h3>3d results</h3>
Number of degrees of freedom: 48984
Assembling...
Solving...
+ Writing output...
Refinement cycle 2
- Number of active cells: 8534
- Number of degrees of freedom: 245647
+ Number of active cells: 8548
+ Number of degrees of freedom: 245746
Assembling...
Solving...
@endcode