Discussion Forum

I have a 2D vector field (2D in X and y) that I need to apply nonstandard boundary conditions. Does anyone know how to apply a boundary condition for the jump in the tangential component of a vector field across two regions?

For example
an x [F1-F2]=az C
where an in the normal unit vector, F1 and F2 are the vector fields in region 1 and region 2, az is the unit vector in along the z-axis, and C is a constant.

I can cast the problem as a scalar field is which the BC would be:

f1_l - f2_l = C

where f1_l and f2_l is the derivative of the scalar field (f1 and f2) along the boundary.

The vector problem is defined in the attached file.

Thanks for any input.