Abstract
The recently developed consistent spatial homogenization method in neutron transport theory is based on basis functions in spatial and angular domains and spatial rehomogenization to correct for the core environment effects while reproducing the heterogeneous solution in full phase space resolution and accuracy. In this article, an efficient version of the method is developed that also simplifies implementation and memory requirements for data handling in multidimensional geometries. This is done by (1) replacing the Fourier series with B-spline basis functions for the spatial domain; (2) truncating the angular expansion to first order, and (3) developing a source iteration method to replace the original local fixed-source transport method for on-the-fly rehomogenization. The new method is tested in a 1D benchmark problem characteristic of pressurized water reactors with mixed oxide fuel. The method is found to be very accurate and more efficient than the original consistent spatial homogenization method.
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