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projectideas [2014/05/29 14:08] cyburt |
projectideas [2014/05/29 15:11] cyburt |
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- Create a hydrostatic configuration for a polytropic star. Solutions can be derived from the Lane-Emden equation ([[http://en.wikipedia.org/wiki/Lane%E2%80%93Emden_equation|Lane-Emden equation]]). | - Create a hydrostatic configuration for a polytropic star. Solutions can be derived from the Lane-Emden equation ([[http://en.wikipedia.org/wiki/Lane%E2%80%93Emden_equation|Lane-Emden equation]]). | ||
+ | - Please look in the "Explode a Polytropic Star" folder in the Projects/Project Ideas folder in the Document Server for a python code that calculates the profile of a polytropic star. | ||
- For an initial condition, increase the central pressure (and only the central point) by some factor of the hydrostatic value (just as in the Sedov Blast Wave). | - For an initial condition, increase the central pressure (and only the central point) by some factor of the hydrostatic value (just as in the Sedov Blast Wave). | ||
- Evolve the star given this deposition of energy in the center of the star. | - Evolve the star given this deposition of energy in the center of the star. | ||
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* How do trajectories differ when the factor is: half, equal, and twice the critical explosion value? | * How do trajectories differ when the factor is: half, equal, and twice the critical explosion value? | ||
* Do all trajectories escape? | * Do all trajectories escape? | ||
+ | * How do things change with different polytropic indices? | ||
* Assume an initial composition for all fluid elements. | * Assume an initial composition for all fluid elements. | ||
* How does the composition in each trajectory evolve? | * How does the composition in each trajectory evolve? |