Timestep 2
Field degrees of freedom: 4989
- Total number of particles in simulation: 24
+ Total number of particles in simulation: 40
Number of particles lost this time step: 0
Now at t=4.14362e-07, dt=2.01715e-07.
Timestep 3
Field degrees of freedom: 4989
- Total number of particles in simulation: 28
+ Total number of particles in simulation: 60
Number of particles lost this time step: 0
- Now at t=5.96019e-07, dt=1.81657e-07.
+ Now at t=5.23066e-07, dt=1.08704e-07.
Timestep 4
Field degrees of freedom: 4989
- Total number of particles in simulation: 32
+ Total number of particles in simulation: 80
Number of particles lost this time step: 0
- Now at t=7.42634e-07, dt=1.46614e-07.
+ Now at t=6.08431e-07, dt=8.53649e-08.
...
- Timestep 1000
+Timestep 1000
Field degrees of freedom: 4989
- Total number of particles in simulation: 44
- Number of particles lost this time step: 6
- Fraction of particles lost through anode: 0.0601266
+ Total number of particles in simulation: 394
+ Number of particles lost this time step: 2
+ Fraction of particles lost through anode: 0.823188
- Now at t=4.93276e-05, dt=4.87463e-08.
+ Now at t=3.83822e-05, dt=4.18519e-08.
Timestep 1001
Field degrees of freedom: 4989
- Total number of particles in simulation: 44
+ Total number of particles in simulation: 392
Number of particles lost this time step: 0
- Fraction of particles lost through anode: 0.0601266
+ Fraction of particles lost through anode: 0.823188
- Now at t=4.93759e-05, dt=4.82873e-08.
+ Now at t=3.84244e-05, dt=4.22178e-08.
...
-Timestep 2091
+Timestep 2478
Field degrees of freedom: 4989
- Total number of particles in simulation: 44
+ Total number of particles in simulation: 364
Number of particles lost this time step: 0
- Fraction of particles lost through anode: 0.0503338
+ Fraction of particles lost through anode: 0.867745
- Now at t=9.99237e-05, dt=4.26254e-08.
+ Now at t=9.99509e-05, dt=4.20455e-08.
-Timestep 2092
+Timestep 2479
Field degrees of freedom: 4989
- Total number of particles in simulation: 44
- Number of particles lost this time step: 0
- Fraction of particles lost through anode: 0.0503338
+ Total number of particles in simulation: 364
+ Number of particles lost this time step: 2
+ Fraction of particles lost through anode: 0.867871
- Now at t=9.99661e-05, dt=4.24442e-08.
+ Now at t=9.99929e-05, dt=4.20105e-08.
-Timestep 2093
+Timestep 2480
Field degrees of freedom: 4989
- Total number of particles in simulation: 44
+ Total number of particles in simulation: 362
Number of particles lost this time step: 2
- Fraction of particles lost through anode: 0.050308
+ Fraction of particles lost through anode: 0.867047
- Now at t=0.0001, dt=3.38577e-08.
+ Now at t=0.0001, dt=7.11401e-09.
```
Picking a random few time steps, we can visualize the solution in the
-form of streamlines for the electric field and dots for the electrons:
+form of streamlines for the electric field and dots for the electrons
+(the pictures were created with an earlier version of the program and
+are no longer exact representations of the solution as currently
+computed -- but they are conceptually still correct):
<div class="twocolumn" style="width: 80%">
<div>
<img src="https://www.dealii.org/images/steps/developer/step-19.solution.0000.png"
That said, a more appropriate way to visualize the results of this
program are by creating a video that shows how these electrons move, and how
-the electric field changes in response to their motion:
+the electric field changes in response to their motion (again showing
+results of an earlier version of the program):
@htmlonly
<p align="center">