I am currently performing inviscid calculations for this test case using a cell-vertex scheme. May I know how boundary conditions would be defined for the calculation points at the lower and upper leading edge corners of the step?

Thanks very much.

you have to apply both bc from the vertical and horizontal walls. Check out Kevin Thompson's paper in Journal of Computational Physics "Time dependent boundary conditions for Hyperbolic systems" or something like that. near the end of the paper he discusses this and other aspects