| 43 | | Authors ran simulations of a Bonner Ebert sphere with an outer density of 1/1000 the density at the outermost edge of the clump (my simulations used 1/100). The ambient therefore had a large sound speed throughout the constant pressure medium (pressure = pressure in sphere at edge), and since the ambient region was very large, the pressure remained nearly constant throughout. They found that if the sphere was initialized with the Larson-Penston solution (uniform density sphere?), it followed the analytical LP time dependent flow. If the grid was initialized by a singular isothermal sphere, it followed Shu's self similar solution. |
| | 43 | The Shu solution begins from core formation (born out of a singular isothermal sphere) and initiates collapse into the medium through an 'expansion wave'. In contrast, the LP solution follows the collapse of a uniformly dense, static sphere prior to and up to core formation. This leads to a central region of homologous infall. Hunter, however, found that the LP solution can in fact be extended past core formation. The Shu solution evolves to a solution similar to homologous inflow like the LP solution. |
| | 44 | |
| | 45 | Authors ran simulations of a Bonner Ebert sphere with an outer density of 1/1000 the density at the outermost edge of the clump (my simulations used 1/100). The ambient therefore had a large sound speed throughout the constant pressure medium, that remained nearly constant throughout. The results are robustly similar to the LP solution. |
