Changes between Version 5 and Version 6 of u/erica/AccretionModelingBlog
- Timestamp:
- 03/20/18 12:52:56 (7 years ago)
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u/erica/AccretionModelingBlog
v5 v6 13 13 || Sink dx = 4dx || .625 || 14 14 15 The following parameters are used for calculating the Bondi Flow onto the particle:16 17 || $\gamma$ || 1.66 ||18 || $\lambda_{crit}$ || ||19 20 15 From Bondi (1952) we have the following quantities (in order: Bondi radius, accretion rate, sonic radius, nondimensional density and velocity): 21 16 22 17 $R_{BH}$ 23 18 24 In addition, the Bondi solution requires a numerical constant, $\lambda$, which controls the strength of the accretion flow. At its critical value, $\lambda=\lambda_{crit}$, $\dot{M}$ is strongest. The case of $\gamma=5/3$ flow is an extreme limit for the solution space. When19 In addition, the Bondi solution requires a numerical constant, $\lambda$, which controls the strength of the accretion flow. At its critical value, $\lambda=\lambda_{crit}$, $\dot{M}$ is strongest. The case of $\gamma=5/3$ flow is an extreme limit for the solution space. This value of $\gamma$ has a few interesting features: 25 20 26 21 27 , $$. In the code, $$ is found in a lookup table and is set as: 22 In the code, $\lambda_{crit}$ is solved for numerically for given value of $\gamma$. In this simulation, these parameters are: 23 24 || $\lambda_{crit}$ || .2526 || 25 || $\gamma$ || 1.66 || 26 27 Additionally, we have: 28 29 || $C_{\infty}$ || .2526 || 30 || $T_{\infty}$ || 1.66 || 31 || $M_*$ || || 28 32 29 33