Authors & Affiliations

Shevchenko S.A.
National Research Nuclear University "MEPhI", Moscow, Russia

Shevchenko S.A. – graduate student, National Research Nuclear University "MEPhI". Contacts: 31, Kashirskoen shosse, Moscow, Russia, 115409. Tel.: +7(926)321-79-25; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..


This paper is devoted to a mathematical model for the transport of radioactive impurities in the near-boundary layers of the atmosphere and create its practical implementation.
The model is based on the fact that the propagation of an impurity in the atmosphere is described by a semiempirical advection-diffusion equation. Also, it considers availability of impurities of various types, which can be transformed into each other. Unlike the stationary model of Pascuilla-Gifford used in the IAEA, this approach allows solving a dynamic system of equations, considering changing weather conditions, and help to provide a solution on a three-dimensional space. This was achieved by the finite element method, which solve a system of differential equations on an adaptive differential grid. This allows more accurate solution in areas where increased detail is required, without significantly increasing the complexity of the calculations.
Using different software tools, a computational grid was created, numerical solution of physical processes, which are described by partial differential equations, and a graphical display of the results, were implemented.
In the future, the created software package can be used to teach the behavior of NPP personnel in emergency situations and in the planning of evacuation.

impurity transport, atmosphere, turbulence, diffusion, finite element method

Article Text (PDF, in Russian)


UDC 504.3.05

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2018, issue 1, 1:15