Acceleration of the inner iteration of the DOT-IV transport code using a new source correction scheme

A detailed description of the steady state Boltzmann transport equation is given. Then the discrete ordinates method of solving the transport equation is described.

The conventional rebalance method, the source correction scheme of rebalance and a new source correction scheme involving a correction equation with a modified flow term are derived. Difference equations for each version of the source correction scheme are presented. The different versions of the source correction scheme and the conventional rebalance method are compared on several test problems in one- and two-dimensional slab geometry.

Results are shown which demonstrate that the new source correction scheme is superior to the conventional rebalance method. It is also seen that the new source correction scheme is compatible when used with a weighted difference formulation in the inner iteration of the transport solution.