Acceleration of Multidimensional Discrete Ordinates Methods Via Adjacent-Cell Preconditioners

摘要

The adjacent-cell preconditioner (AP) formalism originally derived in slab geometry is extended to multidimensional Cartesian geometry for generic fixed-weight, weighted diamond difference neutorn transport emthods. This is accomplished for the thick-cell regime (KAP) and thin-cell regime (NAP). A spectral anlaysis of the resulting acceleration schemes demosntrates their excellent spectral properties for model problem configurations, charaction scheems demonstrates their excellent spectral properties for model problem configurations, characterized by a uniform mesh of infinite extent and homogeneous material composition, each in its own cell-size regime.