Changes between Version 23 and Version 24 of u/u/erica/BEboundary
- Timestamp:
- 05/27/13 15:46:21 (12 years ago)
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u/u/erica/BEboundary
v23 v24 24 24 [[Image(BoundaryRhoBP.gif, 35%)]] [[Image(BoundaryVradBP.gif, 35%)]] 25 25 26 These plots show a very different scenario. The ambient remains quiescent in this case; the density of the ambient does not change and the radial velocity remains close to 0 out there. The only motions we see is inside of the BE sphere itself, as it undergoes classic outside-in collapse. The free fall time for the ambient in these cases is 26 These plots show a very different scenario. The ambient remains quiescent in this case; the density of the ambient does not change and the radial velocity remains close to 0 out there. The only motions we see is inside of the BE sphere itself, as it undergoes classic outside-in collapse. The free fall time for the ambient in these cases is tff=40Myr, or t=2.38>>tsim. 27 27 28 28 = Ambient 1/3 = … … 30 30 [[Image(BoundaryRhow3.gif, 35%)]] [[Image(BoundaryVradw3.gif, 35%)]] 31 31 32 This case is closest to the Matched case. Here we see the effects of the Poisson boundary conditions in a similar way that we did above in the Matched case but not as exaggerated. That is, the velocity increases near the spherical boundary, but not as drastically. Near the end of the simulation, when the speeds have approached vrad/cs~4 nearer the BE sphere boundary, do we very quickly see a build up of density in the corresponding region. I wonder if this time corresponds to the time we see a 'turn-over' in the solution from compression wave to classic collapse? The free-fall time of ambient in this case is 32 This case is closest to the Matched case. Here we see the effects of the Poisson boundary conditions in a similar way that we did above in the Matched case but not as exaggerated. That is, the velocity increases near the spherical boundary, but not as drastically. Near the end of the simulation, when the speeds have approached vrad/cs~4 nearer the BE sphere boundary, do we very quickly see a build up of density in the corresponding region. I wonder if this time corresponds to the time we see a 'turn-over' in the solution from compression wave to classic collapse? The free-fall time of ambient in this case is tff = 7 Myr, or t=0.44>tsim=0.28. 33 33 34 34 = Ambient 1/10 = … … 36 36 [[Image(BoundaryRhow10.gif, 35%)]] [[Image(BoundaryVradw10.gif, 35%)]] 37 37 38 Here the ambient remains quiescent most of the way through the simulation, as the BE sphere begins to collapse. We see only very late in the sim, after the collapse is well underway, a transonic flow begin to develop along the spherical boundary. This flow doesn't quite reach the BE sphere surface by the end of the simulation. The free-fall time of the ambient in this case is .38 Here the ambient remains quiescent most of the way through the simulation, as the BE sphere begins to collapse. We see only very late in the sim, after the collapse is well underway, a transonic flow begin to develop along the spherical boundary. This flow doesn't quite reach the BE sphere surface by the end of the simulation. The free-fall time of the ambient in this case is tff = 14 Myr, or in computational units, tff=0.7869 > tsim = 0.4. 39 39 40 40 = Ambient 1/30 = 41 41 42 This case is nearest the stability case. 42 This case is nearest the stability case. The freefall time of the ambient is 24 Myr, and in computational time, t=1.4, which exceeds the time of the simulation, tsim=0.7 (see above table). 43 43 44 44 [[Image(BoundaryRhow30.gif, 35%)]] [[Image(BoundaryVradw30.gif, 35%)]]
