A Diffusion-Accelerated Solution Method for the Nonlinear Characteristic Scheme in Slab Geometry Academic Article uri icon


  • Recently, the nonlinear characteristic (NC) scheme for spatially discretions the discrete ordinales equal ions was introduced. This scheme is accurate for both optically thin and optically thick spatial meshes and produces strictly positive angular fluxes. The NC discrete ordinates equations can be solved using the source iteration method; however, it is well known that this method converges prohibitively slowly for optically thick problems with scattering ratios at or near unity. A general nonlinear diffusion synthetic acceleration method for solving the NC equations in slab geometry is described. Numerical results to show the effectiveness and efficiency of the new solution method are provided.

author list (cited authors)

  • Wareing, T. A., Walters, W. F., & Morel, J. E.

citation count

  • 2

publication date

  • September 1996