Curvature Flow 3D: Breaking Data for 2 BH's 

The following table list the results of runs on charon  (J90) to identify a possible breaking point for the two black hole problem.

 
 
 

Grid CFL Iteration Max Separation CPU Memorry CPU Time Comments Images
5
0.5
3082
2.0
22M
68s
single apparent horizon
 surface and curvature plots 
5 0.5 5191 3.0 21M 110s too coarse for resolving indentation  surface and curvature plots 
5
0.5
5431
3.06
 21M
 110s
 too coarse for resolving indentation
 similar to 3.0
5
0.5
7357
3.1
 21M
 154s
 too coarse for resolving indentation
  similar to 3.0
5
0.5
3210
3.2
25M
94s
 error occurs as expected where horizon should break
 surface and curvature plots 
17
0.5
1789
0.0
44M
292s
Mass = 0.5M
 3-D snapshot of final horizon surface 
17
0.5
5803
0.0
43M
830s
Mass = 1.0M
 3-D snapshot of final horizon surface 
17
0.5
7383
2.0
39M
921s
single apparent horizon
 curvature and surface plots 
 17
0.5
15662 
3.0 
40M 
2097s 
 single a.h. with indentation
  surface and curvature plots 
17
0.5
25383
3.06
42M
3033s
 single a.h.
 similar to  3.0
17
0.5
30922
3.1
42M
3676s
 3D snapshot of final horizon shape 
 surface and curvature plots 
17
0.5
9433
3.2
?
?
instability arises due to the existence of two horizons
 surface and curvature plots 
33 
0.01
443
2.0
18M
2s
pre-breakage 
instability
33
0.125
2781
2.0
8M
1600s
pre-breakage
 images 
33
0.9
783
2.0
16M
?
unsuccessful
 instability 
33
0.5
10363
3.0
?
?
single apparent horizon
 surface and curvature plots 
33
0.5
11054
3.06
?
?
single a.h. 
similar to 3.0
33
0.5
11054
3.1
?
?
 indentation visable
 surface and curvature plots 
33
0.5
7845
3.2
?
?
breakage error
 surface and curvature plots + more 
33
0.5
1029
10.0
?
?
breakage error
 surface and curvature plots