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Modification of the multigroup approach for the monoenergetic electron beam propagation problem
Russian version
Poletaeva A. R.1, Tsygvintsev I. P.2
1National Research Nuclear University “MEPhI”, Moscow, Russia
2Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
Email: anro.poletaeva@gmail.com
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The paper presents a numerical solution to the problem of target heating by a monoenergetic electron beam. In the one-dimensional case, the solutions of the Boltzmann equation in the multigroup approximation, the solution without energy group splitting (exact), and a method called hybrid, which can be considered intermediate between the multigroup approximation and the exact solution for a monoenergetic beam, are analyzed and compared in detail. The considered numerical methods for electron transport in matter were implemented as a separate module into hydrodynamic code 3DLINE. The simulations were performed in the two-dimensional case, with analysis of the target heating characteristics by a monoenergetic electron beam, comparing the multigroup method and the hybrid approach, which in the monoenergetic case coincides with the exact solution. Keywords: Boltzmann transport equation, fast electrons, hydrodynamics numerical calculations.
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