Changes between Version 7 and Version 8 of u/erica/CoreCollapseBlog


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Timestamp:
03/15/18 18:30:40 (7 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/CoreCollapseBlog

    v7 v8  
    1 '''3/15/18'''
     1=== 3/15/18 ===
    22
    33Have a working 2D solution on the grid — As shown in Figure 1, Astrobear attempts to interpolate between the progenitor density profile (red diamonds, Fig. 1) to arbitrary positions on the mesh (i.e. cell centers, blue curve). It then feeds these density values into the HSE numerical integrator and populates the zones with a pressure profile in HSE, working its way from the ambient boundary in (Fig. 2). The values of the ambient medium are just the constant progenitor profiles beyond a radius containing 3 solar masses ($r=7.26 e+9 ~cm$).
    44
    5 [[Image(rho_2D_lowres.png, 65%)]]
     5[[Image(rho_2D_lowres.png, 65%)]][[br]]
     6'''Figure 1.''' Density profile from HSE self gravity module in Astrobear.
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    17 '''2/26/18'''
     19=== 2/26/18 ===
    1820
    1921The Lane Emden equation non-dimensionalizes the HSE equation in an attempt to find analytic solutions. However, analytic solutions only exist for certain values of the polytropic index. Thus, if we are looking for numerical solutions, we can instead just start with the equation of HSE in spherical coordinates and discretize it:
     
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    32 '''2/7/18'''
     34=== 2/7/18 ===
    3335
    3436Fryer sent progenitor data. The density, pressure, temperature, and velocity profiles of this progenitor look like:
     
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    61 '''2/5/18'''
     63=== 2/5/18 ===
    6264
    6365We would like to model the progenitor of a core collapse supernova in astrobear. The project will be a parameter study to explore the role of magnetic fields and turbulent perturbations on the collapsing core.