Interface conditions for the diffusion equation

In the case of internal boundaries we have a condition of continuity of the angular flux ф(г, E, ft), which in the case of the multi-group diffusion equation is equivalent to continuity of flux and current for each group. Because of Fick’s law the current continuity means

D № D,^

dn dn

where n is in a direction normal to the surface and the suffixes 1 and 2 refer to the regions on the two sides of the boundary.