年間 18 号発行
ISSN 印刷: 1064-2285
ISSN オンライン: 2162-6561
Indexed in
RADIATIVE HEAT TRANSFER IN COMPLEX ENCLOSURES USING NVD DIFFERENCING SCHEMES OF THE FTn FINITE VOLUME METHOD
要約
In the present work, nine high-order resolution schemes based on the Normalized Variable Diagram (NVD) formulation, such as MINMOD, GAMMA, CLAM, NOTABLE, MUSCL, CUBISTA, SMART, WACEB, and VANOS schemes, are applied to the FTn FVM, a nonuniform angular discretization, for solving the radiative transfer equation in 2D and 3D regular and irregular enclosures containing transparent, emitting-absorbing, emitting-absorbing-scattering, and nonhomogeneous media. To treat irregular boundaries, the blocked-off-region procedure is implemented. By comparing with analytical or numerical reference solutions, it should be pointed out that although all NVD schemes are much more accurate than the STEP scheme, they consume more time and require more iterations. Moreover, most of them often necessitate underrelaxation to ensure convergence. The MINMOD and GAMMA schemes are still much less accurate than other NVD schemes, but they converge most quickly of the NVD schemes, and do not require underrelaxation. Although the VANOS scheme gives more accurate solutions, it is not competitive with other NVD schemes.
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Guedri Kamel, Abosuliman Shougi Suliman, Oreijah Mowffaq, FTn Finite Volume Analysis of Ultrafast Laser Radiation Transport through Human Skin Cancer, Applied Sciences, 10, 20, 2020. Crossref
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Litvintsev K.Yu., Sentyabov A.V., Application of the Finite Volume Method for Calculating Radiation Heat Transfer in Applied Problems, Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 14, 3, 2021. Crossref