MHD Riemann Problem ( proposed by Dai and Woodward in Journal of Computational Physics, vol. 115, 200-212, 1994 )

Computational domain: x [0, 1],
Initial condition:

with Bx=4 and  g=5/3.
Mesh: 401 grid points.
Computational time: t = 0.15

 

Dots stand for the CESE results.Lines stand for analytical solution in Dai and Woodward’s JCP paper.