Density profile  in 1D case for F/S configuration

Density profile  in 1D case for S/F configuration

Density profile  in y-invariant case for F/S configuration

Density profile  in y-invariant case for S/F configuration

Density profile  in 2d case with angle of inclination of contact 10 degrees at time step 10  case for F/S configuration

Density profile  in 2d case with angle of inclination of contact 10 degrees at time step 10  case for S/F configuration

Density profile  in 2d case with angle of inclination of contact 10 degrees at time step 15  case for F/S configuration

Density profile  in 2d case with angle of inclination of contact 10 degrees at time step 15  case for S/F configuration

Density profile  in 2d case with angle of inclination of contact 30 degrees at time step 15  case for F/S configuration

Density profile  in 2d case with angle of inclination of contact 30 degrees at time step 15  case for S/F configuration

Density profile  in 2d case with angle of inclination of contact 30 degrees at time step 20  case for F/S configuration

Density profile  in 2d case with angle of inclination of contact 30 degrees at time step 20  case for F/S configuration

Density profiles  for different cases  for a shock contact interaction case with Mach number =2.0 for density ratio 0.14 in slow/fast case and 7.0 in fast/slow case  at time t=0.3 corresponding to step 15  unless otherwise mentioned in the figure

COMMENTS:

In this case the the results don't seem to be too good but they are correct up to some level. The densities we should now consider are the densities   after the shock has passed by :

Using Mach 2.0 and gamma = 1.20886, the densities after the shock passes by become 3.116 times the original density.

Using this the point of convergence of different resolution curves for slow/fast is 1.33 for slow/fast case ( with densities 1 and 0.14) and for             fast /slow case it is 15.58 (with densities 1.0 and 7.0) . From the curves, on the right side for slow/fast case the point of intersection is near 1.0 for almost all the cases except the 2 dimensional case with angle 30 degrees. On the left hand side, the curves meet at around 20 for 1d and y-invariant case whereas for 2d case it is not very clear but they seem to be intersecting at around 20.  

I have plotted the curves for different time steps in 2d cases because it seems that due to presence of either the reflected shock in f/s case and expansion wave in s/f case , the density profile of contact is not very good. As you can see for different values of time, the curves behave differently.