An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity | Zendy

A. Yu. Chebotarëv | Zendy; P. R. Mesenev | Zendy

Open Access

An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity

Author(s) -

A. Yu. Chebotarëv,

P. R. Mesenev

Publication year - 2020

Publication title -

dal nevostochnyi matematicheskii zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1608-845X

DOI - 10.47910/femj202012

Subject(s) - boundary value problem , heat transfer , boundary (topology) , radiation , intensity (physics) , mathematics , free boundary problem , singular boundary method , shooting method , mathematical analysis , mathematical optimization , physics , mechanics , optics , boundary element method , thermodynamics , finite element method

An optimization algorithm for solving the boundary value problem for the stationary equations of radiation-conductive heat transfer in the three-dimensional region is presented in the framework of the $ P_1 $ - approximation of the radiation transfer equation. The analysis of the optimal control problem that approximates the boundary value problem where they are not defined boundary conditions for radiation intensity. Theoretical analysis is illustrated by numerical examples.

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