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Article information
2017 , Volume 22, ą 4, p.69-79
Litvintsev K.Y., Filimonov S.A.
The use of the marching order scheme for solving SLAE obtained on the basis of the finite volume method for the radiating heat transfer equation
Purpose. An opportunity of using the “marching order” scheme to solve system of linear algebraic equations (SLAE) applied to the finite-volume method for the radiation transfer equation on unstructured grids and a comparison with iterative methods used in CFD are the subject of this research. Methodology. Both the standard iterative methods utilized in CFD and the “marching order” scheme can be used to solve the SLAE. The iterative methods both can be used to solve the hydrodynamic equations and the radiation transfer equation. They work for arbitrary meshes. The “marching order” scheme is a direct method to solve SLAE, which is its main advantage. The essence of “marching order” is the sequential direct calculation of the radiation intensity in the control volumes in the chosen direction. The “marching order” scheme has been compared with iterative methods to determine its efficiency compared to with the method of incomplete LU-factorization (DILU) and the biconjugate gradient stabilized method (BiCGSTAB). Originality/value. The “marching order” scheme has turned to be faster 4 to 11 times than the DILU method in the case of solving the radiation transfer task alone. It has been faster from 2 to 6 times compared to iterative methods in case of the combined equations of radiation transfer and heat conduction. Findings. The “marching order” scheme has shown its efficiency in comparison with more universal iterative methods for solving the SLAE. It allows reducing the calculation time of the radiation field on arbitrary convex polyhedral meshes in 2.5-5 times.
[full text]
Keywords: radiative heat transfer, numerical simulation, finite-volume method, marching order
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: 4034-9004Filimonov Sergey Anatolyevich
PhD.
Position: Research Scientist
Office: Siberian Federal University
Address: 660041, Russia, Krasnoyarsk, Svobodnyy pr., 79
E-mail: bdk@inbox.ru
SPIN-code: 5419-6323 References:
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Bibliography link:
Litvintsev K.Y., Filimonov S.A. The use of the marching order scheme for solving SLAE obtained on the basis of the finite volume method for the radiating heat transfer equation // Computational technologies. 2017. V. 22. ą 4. P. 69-79
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