# 1-D Test for a Mach 30 Shock

The shock is a standing Mach 30 shock (adiabatic index of 5/3) with the incoming flow from the right side of the grid having density of 1, velocity of 1 = 0.01 c, upstream sound speed of 1/30, and upstream Alfven velocity of 1/10000 with the magnetic field being parallel to the shock normal. The magnetic field is kept weak in this test to allow us to focus solely on the DSA and CR feedback. The grid has a physical extent of -50 < x < 50. We use continuous boundary conditions for both the MHD and DSA solvers at the physical edges of the grid. These boundary conditions use the zones adjacent to the physical boundary as the values in the boundary zones. The shock is positioned at x = 0.5. An isotropic Bohm-like diffusion coefficient is used where kappa = 1.0 p. Normally this would be dependant to the magnetic field magnitude and direction. However as that would complicate the test we will neglect the effects of the magnetic field on the diffusion. Fourteen momentum bins logarithmically span the range between 0.000912 < p < 1097, where p is in m_{p} c. With this shock velocity, the injection momentum is 0.01, which means we will use a resolution of 0.0015625. The injection fraction is set to 10^{-4} and CR feedback is included as well. For the 1-D solver the run is computed using the standard CN scheme where as WOMBAT utilizes the MAST solver with 16 domains distributed evenly across the computational grid. This simulation was run out to t=40.