Corner B.C.
 

Hi

I am trying to simulate supersonic flow past a forward facing step using Riemann solvers at cell interfaces (i+1/2, j+1/2 etc). Not to sure how to implement boundary conditions at the corner.

i.e.
The Corner is at (i + 1/2, j + 1/2) with flow traveling in increasing i direction

The B.C. for ghost pt (i+1, j) assuming zero pressure gradient, is it

P_(i+1, j) = P_(i, j)
or
P_(i+1, j) = P_(i + 1, j+1)
or
P_(i+1, j) = P(1, j+1)

or something completely different?:confused:

Cheers,
Shuo