Implementation of High-Order Spherical Harmonics Methods for Radiative Heat Transfer on openfoam
Keyword(s):
A general formulation of the spherical harmonics (PN) methods was developed recently to expand the method to high orders of PN. The set of N(N + 1)/2 three-dimensional second-order elliptic PDEs formulation and their Marshak boundary conditions for arbitrary geometries are implemented in the openfoam finite volume based cfd software. The results are verified for four cases, including a 1D slab, a 2D square enclosure, a 3D cylindrical enclosure, and an axisymmetric flame. All cases have strongly varying radiative properties, and the results are compared with exact solutions and solutions from the photon Monte Carlo method (PMC).
2020 ◽
Vol 251
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pp. 107081
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1975 ◽
Vol 3
(1)
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pp. 10-16
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1997 ◽
Vol 32
(1)
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pp. 19-36
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2014 ◽
Vol 133
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pp. 364-373
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1986 ◽
Vol 52
(473)
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pp. 447-455
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2006 ◽
Vol 50
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pp. 181-192
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1987 ◽
Vol 53
(496)
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pp. 3737-3741