Changes between Version 5 and Version 6 of u/erica/AccretionModelingBlog


Ignore:
Timestamp:
03/20/18 12:52:56 (7 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/AccretionModelingBlog

    v5 v6  
    1313|| Sink dx = 4dx || .625 ||
    1414
    15 The following parameters are used for calculating the Bondi Flow onto the particle:
    16 
    17 || $\gamma$ || 1.66 ||
    18 || $\lambda_{crit}$ || ||
    19 
    2015From Bondi (1952) we have the following quantities (in order: Bondi radius, accretion rate, sonic radius, nondimensional density and velocity):
    2116
    2217$R_{BH}$
    2318
    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. When
     19In 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:
    2520
    2621
    27 , $$. In the code, $$ is found in a lookup table and is set as:
     22In 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
     27Additionally, we have:
     28
     29|| $C_{\infty}$ || .2526 ||
     30|| $T_{\infty}$ || 1.66 ||
     31|| $M_*$ || ||
    2832
    2933