A spectral nodal method for one-group X,Y,Z-cartesian geometry discrete ordinates problems

The solution of one-group discrete ordinates SN problems with linearly anisotropic scattering in x, y, z - cartesian geometry has been studied by using SGF-CN “spectral Greenʹs function-constant nodal’ method, developed first by De Barros and Larsen (1990–1992) for one dimensional and two dimensional x, y - cartesian geometries. The solutions of SN transverse - integrated nodal equations in which only constant nodal volume leakage approximation is made, are obtained by a simple iterative algorithm. Finally, tabulated numerical results of average cell scalar fluxes are provided.