Collapse calculation (surce code?)

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SUMMARY

The discussion focuses on calculating the radius of collapsing interstellar clouds based on temperature, density, and pressure, specifically for a homogeneous cloud of one solar mass under low initial pressure and adiabatic processes. The user seeks guidance on numerically solving the continuity equation, equation of motion, energy equation, and energy transport by radiation. Recommendations include utilizing Smoothed Particle Hydrodynamics (SPH) for astrophysical fluid simulations and referencing Larson's 1969 work for foundational concepts. The user also inquires about existing source code in C, C++, Java, or Mathematica for these calculations.

PREREQUISITES
  • Understanding of astrophysical fluid dynamics
  • Familiarity with numerical methods for differential equations
  • Knowledge of Smoothed Particle Hydrodynamics (SPH)
  • Proficiency in programming languages such as C, C++, Java, or Mathematica
NEXT STEPS
  • Research numerical methods for solving differential equations in astrophysics
  • Explore Smoothed Particle Hydrodynamics (SPH) techniques and implementations
  • Investigate Larson's 1969 paper on collapse calculations for theoretical insights
  • Search for open-source code repositories related to astrophysical simulations
USEFUL FOR

Astronomers, astrophysicists, and computational scientists interested in modeling interstellar cloud dynamics and fluid simulations.

quartz6
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Hello,
I would like to define (calculate/plot) the radius of collapsing interstellar cloud as a function of temperature, density and presure of the star. I would like to describe the collapse calculations of an originally homogenous cloud of one solar mas, with low initial presure and non-isothermal, only adiabatic proceses (only internal energy) by numerical calculations (Larson, 1969).

Does anybody know how to deal with continuity equation, the equation of motion, energy equation and equation of energy transport by radiation numerically? Which DE metodh to use?

Or if there is some source code of such or similar numerical calculations (preferably in c, c++, java or mathematica) already online? I guess, there should be? ANYONE KNOWS WHERE TO SEARCH/FIND?

Thanx! B.r., Bojan
 
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A lot of astrophysical fluid simulations use Smoothed particle hydrodynamics. I don't know where there is any code already completed if there is any. That might be a good place to start.
 
I think it was first Sir James Hopwood Jeans who first formulated this topic. I see some equations on his wiki bio.
 

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