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Iterative Solution of the Neutron Transport Equation by Means of Diffusion Techniques

M. Michelini

Nuclear Science and Engineering / Volume 65 / Number 3 / March 1978 / Pages 532-539

Technical Paper / dx.doi.org/10.13182/NSE78-A27183

In the framework of the solution of the transport equation by means of diffusion techniques, an iterative procedure is presented that permits us to calculate the point-dependent diffusion coefficient, Dk(k = x,y,z), using standard diffusion codes. Numerical comparisons show that this procedure attains a flux distribution much closer to the transport distribution after one iteration than the classical diffusion flux. The time of the calculation is about twice that required by classical diffusion.