A linear multiple balance method with high order accuracy for discrete ordinates neutron transport equations

摘要

A linear multiple balance method (LMB) is developed to provide more accurate and posi- tive solutions for the discrete ordinates neutron transport equations. In this multiple Balance approach, one mesh cell is divided into two subcells with quadratic approximation for the angular flux distribution. Four multiple balance equations are used to relate center angular flux with average angular flux by Simpson's rule. From the analysis of spatial truncation error, the accuracy of the linear multiple balance scheme is O (Δ~4) whereas that of diamond differencing is O (Δ~2).