Changes between Version 1 and Version 2 of u/lchamandy/2017-04-17


Ignore:
Timestamp:
04/05/17 17:28:08 (8 years ago)
Author:
Luke
Comment:

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  • u/lchamandy/2017-04-17

    v1 v2  
    1414
    1515'''a) Periodic BCs'''\\
     16(i) Constant ambient pressure and density\\
    1617[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Ambp038/rho2d_Ambp038.gif 2d density]
    1718[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Ambp038/rho2dv1e6_Ambp038.gif 2d density and velocity]
     
    2021[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Ambp038/P1d_Ambp038.gif 1d pressure]\\
    2122
     23(ii) Isothermal hydrostatic atmosphere\\
     24[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm001/rho3doldrange_Atm001.gif 2d density]
     25[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm001/rho2dv1e6_Atm001.gif 2d density and velocity]\\
     26
    2227'''b) Multipole expansion BCs'''\\
     28(i) Constant ambient pressure and density\\
    2329[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2ds_Damp010.gif 2d density]
    2430[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2dv1e6_Damp010.gif 2d density and velocity]
     
    2733[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/P1d_Damp010.gif 1d pressure]\\
    2834
     35(ii) Isothermal hydrostatic atmosphere\\
     36[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm003/rho2d_Atm003.gif 2d density]
     37[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm003/rho2dv1e6_Atm003.gif 2d density and velocity]\\
     38
    2939'''Comparison with (a) on left and (b) on right'''\\
     40(i) Constant ambient pressure and density\\
    3041[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_periodic_multip.gif 2d density]
    3142[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6periodic_multip.gif 2d density and velocity]
     
    5667
    5768'''a) Extrapolated hydro BCs, Multipole expansion Poisson BCs (same as (b) in Sect. I above)'''\\
     69(i) Constant ambient pressure and density\\
    5870[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2ds_Damp010.gif 2d density]
    5971[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2dv1e6_Damp010.gif 2d density and velocity]
     
    6274[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/P1d_Damp010.gif 1d pressure]\\
    6375
    64 '''b) Fixed profile on boundary hyrdro BCs, Multipole expansion Poisson BCs'''\\
     76(ii) Isothermal hydrostatic atmosphere\\
     77[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm003/rho2d_Atm003.gif 2d density]
     78[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm003/rho2dv1e6_Atm003.gif 2d density and velocity]\\
     79
     80'''b) Fixed profile on boundary hydro BCs, Multipole expansion Poisson BCs'''\\
     81(i) Constant ambient pressure and density\\
    6582[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2d_Damp017.gif 2d density]
    6683[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2dv1e6_Damp017.gif 2d density and velocity]
     
    6986[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/P1d_Damp017.gif 1d pressure]\\
    7087
     88(ii) Isothermal hydrostatic atmosphere\\
     89[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm004/rho2d_Atm004.gif 2d density]
     90[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm004/rho2dv1e6_Atm004.gif 2d density and velocity]\\
     91
    7192'''c) Fixed profile outside sphere hydro BCs, Multipole expansion Poisson BCs'''\\
     93(i) Constant ambient pressure and density\\
    7294[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2d_Damp018.gif 2d density]
    7395[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2dv1e6_Damp018.gif 2d density and velocity]
     
    7698[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/P1d_Damp018.gif 1d pressure]\\
    7799
     100(ii) Isothermal hydrostatic atmosphere\\
     101[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm008/rho2dold_Atm008.gif 2d density]
     102[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm008/rho2dv1e6_Atm008.gif 2d density and velocity]
     103[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm008/rho2d_Atm008.gif 2d density extended range]\\
     104
     105'''d) Fixed pressure on boundary with rho and veloc extrapolated hydro BCs, Multipole expansion Poisson BCs'''\\
     106(i) Constant ambient pressure and density\\
     107[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp023/rho2d_Damp023.gif 2d density]
     108[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp023/rho2dv1e6_Damp023.gif 2d density and velocity]\\
     109
     110'''e) Fixed pressure and density on boundary with veloc extrapolated hydro BCs, Multipole expansion Poisson BCs'''\\
     111(i) Constant ambient pressure and density\\
     112[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp025/rho2d_Damp025.gif 2d density]
     113[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp025/rho2dv1e6_Damp025.gif 2d density and velocity]\\
     114
     115'''f) Fixed pressure outside spherical region with rho and veloc extrapolated hydro BCs, Multipole expansion Poisson BCs'''\\
     116(i) Constant ambient pressure and density\\
     117[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp024/rho2d_Damp024.gif 2d density]
     118[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp024/rho2dv1e6_Damp024.gif 2d density and velocity]\\
     119
     120(ii) Isothermal hydrostatic atmosphere\\
     121[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm010/rho2dold_Atm010.gif 2d density]
     122[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm010/rho2dv1e6_Atm010.gif 2d density and velocity]\\
     123
    78124'''Comparison with (a) on left and (b) on right'''\\
     125(i) Constant ambient pressure and density\\
    79126[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_ext_fix.gif 2d density]
    80127[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6_ext_fix.gif 2d density and velocity]
    81128
    82129'''Comparison with (b) on left and (c) on right'''\\
     130(i) Constant ambient pressure and density\\
    83131[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_sph.gif 2d density]
    84132[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6_fix_sph.gif 2d density and velocity]
    85133
     134'''Comparison with (b) on left and (d) on right'''\\
     135(i) Constant ambient pressure and density\\
     136[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_fixP.gif 2d density]
     137[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6_fix_fixP.gif 2d density and velocity]
     138
    86139- Fixing the profile on the boundary (b) results in a somewhat more stable star compared with the fiducial case (a).
    87140
     
    103156'''(NOTE THAT VELOCITY VECTORS ARE SCALED 10 TIMES LARGER FOR CASES WITH DAMPING)'''\\
    104157'''a) Fixed profile on boundary hydro BCs, Multipole expansion Poisson BCs (same as II(b) above)'''\\
     158(i) Constant ambient pressure and density\\
    105159[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2d_Damp017.gif 2d density]
    106160[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2dv1e6_Damp017.gif 2d density and velocity]
     
    109163[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/P1d_Damp017.gif 1d pressure]\\
    110164
    111 '''b) Fixed profile on boundary hyrdro BCs, Multipole expansion Poisson BCs, Velocity damping with $\tau=1\times10^5$ s'''\\
     165(ii) Isothermal hydrostatic atmosphere\\
     166[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm004/rho2d_Atm004.gif 2d density]
     167[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm004/rho2dv1e6_Atm004.gif 2d density and velocity]\\
     168
     169'''b) Fixed profile on boundary hydro BCs, Multipole expansion Poisson BCs, Velocity damping with $\tau=1\times10^5$ s'''\\
     170(i) Constant ambient pressure and density\\
    112171[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp021/rho2d_Damp021.gif 2d density]
    113172[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp021/rho2dv1e7_Damp021.gif 2d density and velocity]
     
    117176
    118177'''c) Fixed profile outside sphere hydro BCs, Multipole expansion Poisson BCs (same as II(b) above)'''\\
     178(i) Constant ambient pressure and density\\
    119179[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2d_Damp018.gif 2d density]
    120180[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2dv1e6_Damp018.gif 2d density and velocity]
     
    123183[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/P1d_Damp018.gif 1d pressure]\\
    124184
    125 '''d) Fixed profile outside sphere hyrdro BCs, Multipole expansion Poisson BCs, Velocity damping with $\tau=1\times10^5$ s'''\\
     185(ii) Isothermal hydrostatic atmosphere\\
     186[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm008/rho2d_Atm008.gif 2d density]
     187[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm008/rho2dv1e6_Atm008.gif 2d density and velocity]\\
     188
     189'''d) Fixed profile outside sphere hydro BCs, Multipole expansion Poisson BCs, Velocity damping with $\tau=1\times10^5$ s'''\\
     190(i) Constant ambient pressure and density\\
    126191[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp022/rho2d_Damp022.gif 2d density]
    127192[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp022/rho2dv1e7_Damp022.gif 2d density and velocity]
     
    130195[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp022/P1d_Damp022.gif 1d pressure]\\
    131196
     197(ii) Isothermal hydrostatic atmosphere\\
     198[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm009/rho2dv1e7_Atm009.gif 2d density and velocity]
     199[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Atm009/rho2dv1e6_Atm009.gif 2d density and velocity (smaller arrows)]\\
     200
    132201'''Comparison with (a) on left and (b) on right'''\\
     202(i) Constant ambient pressure and density\\
    133203[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_tau1e5.gif 2d density]
    134204[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv_fix_tau1e5.gif 2d density and velocity]
    135205
    136206'''Comparison with (c) on left and (d) on right'''\\
     207(i) Constant ambient pressure and density\\
    137208[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_sph_tau1e5.gif 2d density]
    138209[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv_sph_tau1e5.gif 2d density and velocity]
    139210
    140211'''Comparison with (b) on left and (d) on right'''\\
     212(i) Constant ambient pressure and density\\
    141213[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_sph_tau1e5.gif 2d density]
    142214[http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv_fix_sph_tau1e5.gif 2d density and velocity]