Regular Article - Statistical and Nonlinear Physics
Numerical implementation of the asymptotic theory for classical diffusion in heterogeneous media
Nuclear Safety Institute, Russian Academy of Sciences, Bolshaya Tul’skaya St 52, 115191, Moscow, Russia
Accepted: 30 November 2020
Published online: 8 February 2021
Based on the asymptotic theory of impurity transport developed by one of the authors (P.S.K.), numerical calculations of the concentration for classical diffusion in heterogeneous media in one and two dimensions are performed. In parallel, for the same media, a direct numerical solution of the diffusion equation was carried out. The results of the two calculations are highly consistent with each other at asymptotically far distances from the impurity source. The computation time according to the asymptotic theory turned out to be two orders of magnitude less than the time required for direct calculations.
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