I have to present a working 3D simulation of an arbitrary comet in a close proximity to the Sun or to the Jupiter. In specific, I want to simulate comets D/1993 F2 and C/2011 W3, using the theoretical model I have proposed in my recent reseach. My deadline is 1st April 2014.
As I see it now - I make my comet of tons of small particles, define the physics of these particles, define the external physics and just run the simulation for some period of time. I need to obtain both select data in numerical form, and a 3D visualisation of the whole process.
For now I do not have to do that in Minkowski space, just regular 3D space, albeit in spherical coordinates. Physics wise - thermodynamics, gravity, mechanical properties of materials, solar wind.
Chunk of free time.
A Windows/Linux laptop. Might have an access to OS X workstation.
Solid knowledge of mathematics behind these physical phenomena (PDEs, integrals, series, complex functions).
A little bit of experience in coding - Turbo Pascal 7, C++, Delphi (order from most to less experience).
Budget of roughly 500 USD - for software, literature etc. I am qualified for student discounts.
I can not use existing solutions, as I have to define the mathematical model for physics according to my research.
I do not know where to start, and from what do I begin.
Edit according to the input from Ben. I have a developed mathematical model of a system comet-star, or comet-planet (it is simplified comet-sun case). I am looking on how I can make a 3D simulation of this model, with gathering specific data and the visual representation of the processes happening.
I hope this helps. If it is still to broad to be answered, feel free to specify more details.