In the below paper, Guang-Shan Jiang and Chi-Wang Shu give an example of ENO and WENO handing non-rectangular domain. i.e. flow past a cylinder.

`Efficient Implementation of Weighted ENO Schemes', J. Comput. Phys, 126, 202 (1996).

The problem is initialized by a Mach 3 shock moving toward the cylinder from the left. But this paper doesn't give the state of the flow before the shock (\rho,u,v,p).

I am trying to do this case now. If you can give me some suggestions or some references, I will appreciate very much.

Annie

If you know the state of the gas one side and you know the shock speed, you can calculate the state on the other side from the jump conditions

[F] = s[U]

Unfortunately, I don't know the state of the gas one side. That paper only says a Mach 3 shock moving from left to right.