Stability of the Mesh-Cornered Synthetic Method of Diffusion Acceleration of the DOT-IV Transport Code

摘要

Three methods for accelerating the discrete ordinates equations using variations of the synthetic method are examined. It is found that the use of difference equations written about the mesh corners, rather than a specific form of the equations, brings stability. These methods are compared with three other methods in test problems covering the stability domain of interest. (ERA citation 05:002178)