Changes between Version 1 and Version 2 of ThermalInstability


Ignore:
Timestamp:
06/30/11 14:37:55 (14 years ago)
Author:
Jonathan
Comment:

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  • ThermalInstability

    v1 v2  
    77
    88== Setup ==
    9   Box size is 4 pc and clump radius is 1 pc.  Ambient and clump density are 2 part/cc and the clump has small density perturbations of order 10% but is initially in pressure equilibrium with ambient.
     9  Box size is 4 pc and clump radius is 1 pc.  Ambient and clump density are 2 part/cc and the clump has small density perturbations of order 10% but is initially in pressure equilibrium with ambient.  I modified the clump module to do perturbations in r, theta, phi space instead of x-y-z space however I still used exp [ (k_r, k_theta, k_phi) dot (r, theta, phi) ] instead of the more appropriate spherical harmonics...
    1010
     11 || A || [[latex($k_r$)]] || [[latex($k_{\theta}$)]] || [[latex($k_{\phi}$)]] || [[latex($\epsilon$)]] ||
     12 || .1 ||  [[latex($ \pi/2 $)]]  || 0 || 0 || 0 ||
     13 || .05 || [[latex($ 2\pi $)]]  || 4 || 2 || 0 ||
     14 || .05 ||  [[latex($ \pi $)]]  || 3 || 4 || 0 ||
     15
     16[[latex($\frac{\rho}{\rho_0} = \displaystyle{\sum_i {A_icos(k^i_r r+k^i_{\theta}\theta+k^i_{\phi}\phi+\epsilon^i)}}$)]]
    1117
    1218== Results ==
    1319||  [attachment:ThermalInstabilityTiled.gif movie]  ||
    1420||  [[Image(ThermalInstabilityTiled.png, width=400)]]  ||
     21
     22== Discussion ==
     23  While the small scale perturbations grow the fastest, eventually the large scale perturbation results in the clump collapsing.  Towards the end of the run material is also 'collapsing' against the boundary creating a hot rarefied spherical shell.