Radiation transport on unstructured mesh with parallel computers

This paper summarizes the developmental work on a deterministic transport code that provides multidimensional radiation transport capabilities on an unstructured mesh. The second-order form of the Boltzmann transport equation is solved utilizing the discrete ordinates angular differencing and the Galerkin finite element spatial differencing. The discretized system, which couples the spatial-angular dependence, is solved simultaneously using a parallel conjugate-gradient (CG) iterative solver. This approach eliminates the need for the conventional inner iterations over the discrete directions and is well-suited for massively parallel computers