An Inconsistent Diffusion Synthetic Acceler Ation Method For Stationary Neutron Transport Equations

For particle transport equation with low probability of leakage or capture,the standard source iteration method(SI)will convergent slowly.Unfortunately,the slowly converging is inefficient and it can be difficult to determine when their iterations are suitably converged.Many practical iteration acceleration schemes were developed.Among them,the Diffusion Synthetic Acceleration(DSA)can speed a discretized source iteration scheme in an efficient and robust manner.For consistently discretized DSA equations,however,the high-order transport and low-order diffusion operators should be discretized consistently.When the mod-eled system is complicated,it is difficult to derive the consistent schemes.In this paper,we develop an inconsistent DSA scheme for solving the steady-state trans-port equation define in the planar geometry in one dimension.Fourier analysis and numerical tests are showed to testify the efficiency of the proposed method.