Riemann solvers (comprehensive guide)
Toro (2009) [Riemann solvers and numerical methods for fluid dynamics: a practical introduction]

MHD Riemann solvers (numerical techniques)
Dai+ (1994) [An approximate Riemann solver for ideal magnetohydrodynamics]
Ryu+ (1995) [Numerical magetohydrodynamics in astrophysics: algorithm and tests for one-dimensional flow]
Torrilhon (2002) [Exact solver and uniqueness conditions for Riemann problems of ideal magnetohydrodynamics]

Orszag-Tang MHD vortex (this is the featured image on the home page)
Hopkins (2004) [Orszag-Tang vortex test]

Shocks in the Interstellar Medium
Draine (2010) [Physics of the interstellar and intergalactic medium]
Offner+ (2009) [The Effects of Radiative Transfer on Low-Mass Star Formation]
Chandra Gallery [Kepler's Supernova Remnant]

Riemann problem for flux computation in full 3D simulations
Teyssier (2010) [Romain's lecture notes on hydro solvers]

Some 3D fluid solvers used in astrophysics
Fromang+ (2006) [Ramses]
Stone+ (2008) [Athena]
Springel (2010) [Arepo]

Partner ISM Module Websites Relevant to Shocks
Becerra (2013) [A visualization tool of 2D shocks simulations]
MacGregor (2013) [Landmarks of the ISM]
Alexander (2013) [The Multiphase ISM]