Hi everyone,
I have a question concerning the solution of PDEs with NDSolve in Mathematica 10. I am trying to solve a PDE in 2D with oblique boudary conditions. Specifically, I want the gradient of the solution in a given direction to be zero at the boundary, namely:
d.Grad[u[x,y],{x,y}]=0
with d a given unit vector, say {1,1}/Sqrt[2].
However, with NeumannValue I can only demand that the gradient be zero in the direction perpendicular to the boundary:
n.Grad[u[x,y],{x,y}]=0
at the boundary with n an outgoing normal to the boundary.
Does anybody know how to extend this to a general direction d rather than the normal to the boundary n?
Thanks!
Ofri Telem