Computer simulations of the heat transfer process in heterogeneous mediausing parallel computing technologies
Автор: Prokhorov S.A., Ten A.V.
Журнал: Математическая физика и компьютерное моделирование @mpcm-jvolsu
Рубрика: Моделирование, информатика и управление
Статья в выпуске: 3 т.26, 2023 года.
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This paper studied a two-dimensional linear equation of thermal conductivity with a fractional differentiation order and compiled a computational algorithm for its numerical solution. Fractional derivatives in space and time were represented using the Riemann-Liouville definition, and the Grunwald- Letnikov definition with a shift was used to approximate them. Based on the computational algorithm, a program was written for computer modeling of the heat exchange process in heterogeneous environments. A version of the program has been developed using OpenMP parallel computing technology. The computer model has been tested by a number of numerical experiments to solve the problem of thermal momentum propagation. Based on the modeling results, the effect of fractional differentiation order on the thermal conductivity process was studied.
Computer modeling, difference schemes, fractional differentiation, thermal equation, parallel calculations
Короткий адрес: https://sciup.org/149144545
IDR: 149144545 | DOI: 10.15688/mpcm.jvolsu.2023.3.3