Boundary Conditions and Domain Decomposition for a Three Dimensional Finite Difference Time Domain Code on a Cray T3D.

The authors consider the 3D transport problem {partial_derivative}f/{partial_derivative}t = -{del} {center_dot} (fu) + {eta}{del}{sup 2}f, where f (x, y, z, t) is a scalar quantity being advected by the given velocity field u in a medium of diffusivity {eta}. The problem is defined on {vert_bar}x{vert_bar}, {vert_bar}y{vert_bar} {le} a, {vert_bar}z{vert_bar} {le} b, 0 {le} t {le} T. with initial conditions f(x,t) = f{sub 0}(x). Boundary conditions (BC) are variously reflecting, absorbing or periodic.