Article information

2014 , Volume 19, ¹ 5, p.37-50

Litvintsev K.Y.

Application of the finite-volume method for 3D radiation heat transfer problems

Purpose. Implementation of the finite-volume method for 3D radiation heat transfer problems has some peculiarities that are addressed in the present research. Control-angle overlap and angular-multiblock procedure is of particular interest. Methodology. Control-angle overlap is encountered when edges of the control volumes cross control angles. It leads to errors and increased calculation time when the angle of discretization is coarse. Errors appear as a result of the neglected difference between incoming and outgoing radiant energy for an overlapping control angle. Two principal approaches can help to solve this problem: to refine the angle of discretization or to subdivide the "bad" control angles. This article introduces the second approach when an overlapping control angle is divided into two sub-control angles by the edge of the control volume. Angular-multiblock procedure allows changing angular discretization in accordance with optical properties of the environment thus calculation time is reduced. Originality/value. Solution of the test problem, which addresses the overlap control angles with the faces of control volumes, has shown that the division into two parts of the control angle reduces the computational error, as well as significantly reduce the computation time. To test the procedure we reduve the initial problem to the corner multiblock problem in which the scattering coefficient varied greatly in space. For this task, three alternatives were considered angular rate: 288, 32, 288 + 32. The first option - the reference solution. For the second variant, we obtained a nonphysical solution. In the third case, a solution was obtained close to the reference, and the calculation time was reduced in three times. Findings. The finite-volume method is flexible. It allows extension of its application scope to computations of the radiation heat transfer processes.

[full text]
Keywords: radiative heat transfer, numerical simulation, finite-volume method

Author(s):
Litvintsev Kirill Yurievich
PhD.
Position: Research Scientist
Office: Researcher of the Institute of Thermophysics of SB RAS
Address: 660036, Russia, Krasnoyarsk, Krasnoyarsk, Akademgorodok 50/44
Phone Office: (391) 2494726
E-mail: sttupick@yandex.ru
SPIN-code: 4034-9004


Bibliography link:
Litvintsev K.Y. Application of the finite-volume method for 3D radiation heat transfer problems // Computational technologies. 2014. V. 19. ¹ 5. P. 37-50
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