Changes between Version 1 and Version 2 of u/lchamandy/2017-04-17
- Timestamp:
- 04/05/17 17:28:08 (8 years ago)
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u/lchamandy/2017-04-17
v1 v2 14 14 15 15 '''a) Periodic BCs'''\\ 16 (i) Constant ambient pressure and density\\ 16 17 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Ambp038/rho2d_Ambp038.gif 2d density] 17 18 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Ambp038/rho2dv1e6_Ambp038.gif 2d density and velocity] … … 20 21 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Ambp038/P1d_Ambp038.gif 1d pressure]\\ 21 22 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 22 27 '''b) Multipole expansion BCs'''\\ 28 (i) Constant ambient pressure and density\\ 23 29 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2ds_Damp010.gif 2d density] 24 30 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2dv1e6_Damp010.gif 2d density and velocity] … … 27 33 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/P1d_Damp010.gif 1d pressure]\\ 28 34 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 29 39 '''Comparison with (a) on left and (b) on right'''\\ 40 (i) Constant ambient pressure and density\\ 30 41 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_periodic_multip.gif 2d density] 31 42 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6periodic_multip.gif 2d density and velocity] … … 56 67 57 68 '''a) Extrapolated hydro BCs, Multipole expansion Poisson BCs (same as (b) in Sect. I above)'''\\ 69 (i) Constant ambient pressure and density\\ 58 70 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2ds_Damp010.gif 2d density] 59 71 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/rho2dv1e6_Damp010.gif 2d density and velocity] … … 62 74 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp010/P1d_Damp010.gif 1d pressure]\\ 63 75 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\\ 65 82 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2d_Damp017.gif 2d density] 66 83 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2dv1e6_Damp017.gif 2d density and velocity] … … 69 86 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/P1d_Damp017.gif 1d pressure]\\ 70 87 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 71 92 '''c) Fixed profile outside sphere hydro BCs, Multipole expansion Poisson BCs'''\\ 93 (i) Constant ambient pressure and density\\ 72 94 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2d_Damp018.gif 2d density] 73 95 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2dv1e6_Damp018.gif 2d density and velocity] … … 76 98 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/P1d_Damp018.gif 1d pressure]\\ 77 99 100 (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 78 124 '''Comparison with (a) on left and (b) on right'''\\ 125 (i) Constant ambient pressure and density\\ 79 126 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_ext_fix.gif 2d density] 80 127 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6_ext_fix.gif 2d density and velocity] 81 128 82 129 '''Comparison with (b) on left and (c) on right'''\\ 130 (i) Constant ambient pressure and density\\ 83 131 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_sph.gif 2d density] 84 132 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv1e6_fix_sph.gif 2d density and velocity] 85 133 134 '''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 86 139 - Fixing the profile on the boundary (b) results in a somewhat more stable star compared with the fiducial case (a). 87 140 … … 103 156 '''(NOTE THAT VELOCITY VECTORS ARE SCALED 10 TIMES LARGER FOR CASES WITH DAMPING)'''\\ 104 157 '''a) Fixed profile on boundary hydro BCs, Multipole expansion Poisson BCs (same as II(b) above)'''\\ 158 (i) Constant ambient pressure and density\\ 105 159 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2d_Damp017.gif 2d density] 106 160 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/rho2dv1e6_Damp017.gif 2d density and velocity] … … 109 163 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp017/P1d_Damp017.gif 1d pressure]\\ 110 164 111 '''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\\ 112 171 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp021/rho2d_Damp021.gif 2d density] 113 172 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp021/rho2dv1e7_Damp021.gif 2d density and velocity] … … 117 176 118 177 '''c) Fixed profile outside sphere hydro BCs, Multipole expansion Poisson BCs (same as II(b) above)'''\\ 178 (i) Constant ambient pressure and density\\ 119 179 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2d_Damp018.gif 2d density] 120 180 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/rho2dv1e6_Damp018.gif 2d density and velocity] … … 123 183 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp018/P1d_Damp018.gif 1d pressure]\\ 124 184 125 '''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\\ 126 191 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp022/rho2d_Damp022.gif 2d density] 127 192 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp022/rho2dv1e7_Damp022.gif 2d density and velocity] … … 130 195 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/Damp022/P1d_Damp022.gif 1d pressure]\\ 131 196 197 (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)]\\ 200 132 201 '''Comparison with (a) on left and (b) on right'''\\ 202 (i) Constant ambient pressure and density\\ 133 203 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_tau1e5.gif 2d density] 134 204 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv_fix_tau1e5.gif 2d density and velocity] 135 205 136 206 '''Comparison with (c) on left and (d) on right'''\\ 207 (i) Constant ambient pressure and density\\ 137 208 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_sph_tau1e5.gif 2d density] 138 209 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv_sph_tau1e5.gif 2d density and velocity] 139 210 140 211 '''Comparison with (b) on left and (d) on right'''\\ 212 (i) Constant ambient pressure and density\\ 141 213 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2d_fix_sph_tau1e5.gif 2d density] 142 214 [http://www.pas.rochester.edu/~lchamandy/Graphics/RGB/Post-sink_particle/Post-modified_Lane_Emden/rho2dv_fix_sph_tau1e5.gif 2d density and velocity]