A parallel nodal method of second order

A nodal method of the so-called analytical physical type, using partial currents as variables, is applied to the multigroup diffusion equations of nuclear reactor theory in two-dimensional rectangular geometry. To solve the associated criticity problem, the power method is used for the outer iteration, and the Gauss-Seidel iteration for the inner iterations in the sense that each node uses the most recently estimated incoming partial currents from neighbouring nodes. As method of parallelization a 2-d grid of processors is chosen. The results obtained for the problem considered here show that for fine meshes, high speed-ups and efficiencies may be achieved with MIMD distributed memory architectures like the Parsytec GCEL machine. © 1995.SCOPUS: ar.j