On selecting free path length sampling method for solving the non-stationary radiation transport equation using graphic accelerators

M. A. Donskaya^a, I. P. Yarovenko<sup>ab

a</sup> Far Eastern Federal University, Vladivostok
^b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The paper considers the issues of mathematical modeling of the non-stationary transfer of X-ray radiation. We describe the process using an initial-boundary problem for the radiation transfer equation, which is solved by the weighted Monte Carlo method. The implementation of the method proposed using parallel calculations on graphic processor units (GPU) is discussed.

Key words: radiative transfer equation, maximum crossection method, Monte Carlo methods, parallel computing.

UDC: 517.958

MSC: Primary 35Q20; Secondary 35Q60

Received: 25.01.2024
Accepted: 24.05.2024

DOI: 10.47910/FEMJ202404