References for double shock case

Hello, I want to find the concrete introduction of double shock calculation example. Could you tell me which paper has this introduction?

Best regards

Hello, I want to find the concrete introduction of double shock calculation example. Do you know which article contains the double shock example in this link?

Best regards

I’m not sure which case exactly you mean, do you mean the 2D Reimann problems? If so below are some links?

https://doi.org/10.1007/BF00251604
https://doi.org/10.1137/S1064827595291819

Or do you perhaps mean the double mach reflection case? If so the following are useful

https://doi.org/10.1016/0021-9991(84)90142-6
https://doi.org/10.1016/j.compfluid.2016.04.008
https://doi.org/10.1007/s10915-018-0803-x

Thanks a lot. I mean double shock case in that link. The density contour is shown below.

Best regards

Ah ok,

I can’t think of a paper that talks about it, but I know Paul has it in his book https://doi.org/10.1017/CBO9781139872010

The best way I have found to use this case is set the inflow mach number and the outflow mach number and then use oblique shock relations to find the exact angle and length of the slope required for the first reflection to exactly hit the right-most corner of the slope. This should mean that there isn’t a second reflection and if there is one is means your scheme is off in some way, ie too much diffusion.