Fine-Mesh Limit of 1D Nodal Transport Equations

摘要

Imbedded in multidimensional nodal transport codes is the solution of transverse integrated ID transport equations. Since, in this solution, fluxes on boundaries are DP sub 1 , it is generally assumed that the ID solutions, in the small-mesh limit, approach DP sub 1 solutions. It will be shown that this is not true. Small-mesh limits of the ID nodal equations will be derived, and it will be shown that these are substantially worse than the DP sub 1 equations under certain circumstances. Alternate ID nodal equations (which do have a DP sub 1 small-mesh limit) are proposed. 2 refs. (ERA citation 12:024051)