I am recently working on computational astrophysics. My research is mainly focused on accretion processes around compact objects (black holes & neutron stars), radiative transfer and modelling of turbulent compressible flow.

I come from a background of theoretical physics and I can do programming in C/C++. So, I am looking for an expert advice on a comprehensive list of useful resources to learn the various computational techniques. Also I would like to know about the various softwares and packages that are useful in computational astrophysics.

EDIT:

I am not seeking an answer on resources related to theoretical aspects of astrophysical hydrodynamics or gas dynamics. Rather I am interested in the computational methods and softwares used by computational astrophysicists, for e.g., various packages and softwares used to analyse astrophysical data, techniques used to simulate accretion disks around compact objects etc.