Where to Begin Coding for Smoothed Particle Hydrodynamics Simulations?

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Artemisia
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I wish to replicate the simulations and values obtained in the following paper but I do not know where to start my coding from.

http://lasp.colorado.edu/~espoclass/ASTR_5835_2013_Files/2013_10_29_Canup.Moon.Icarus.2004.pdf

How must I start the code? I am aware that I need to integrate the appendix with some codes but I am very unsure as to how to begin.

Please help :(
 

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It might be an idea to find some examples of SPH methods, coded in c or fortran, to get you started. There are plenty of simple codes out there. You can then modify then accordingly with the specific discretised equations that you want to solve (ie the ones you mention in this paper).