The first-Order scattering P-1 method
Por:
Ramirez-Cabrera, M. A., Valades-Pelayo, P. J.
Publicada:
1 ago 2021
Resumen:
This work proposes a numerical method to solve the Radiative Transfer
Equation by sequentially coupling the First-Order Scattering (FOS) and
the P-1 approximations. The FOS method represents highly-anisotropic
radiative intensity distributions for zero and one scattering events;
the P-1 approximation considers the smoother distributions obtained in
subsequent scattering events. As long as the phase function is not
highly anisotropic (vertical bar g vertical bar < 0.6), the numerical
method proposed proved accurate (averaged local errors below 10%)
practically for any source, albedo (omega), and domain optical thickness
(t). Moreover, in the highly forward scattering range (0.6 < g < 0.9),
the FOSP1 method remains accurate as long as one of the following holds:
1) sources are not highly anisotropic (radiative cone angle, theta(c) >
pi/4), 2) tau <= 1 or 3) omega <= 0. 5. For the cases covered in this
study, the FOSP1 method achieves 10 to 100-fold speed up (w.r.t. Monte
Carlo simulations with a similar accuracy). The method is free of a
directional mesh and statistical noise, providing an interesting
combination between accuracy, computational efficiency, and ease of
implementation in arbitrary domains. (C) 2021 Elsevier Ltd. All rights
reserved.
Filiaciones:
Ramirez-Cabrera, M. A.:
Instituto de Energías Renovables, Universidad Nacional Autónoma de México, Priv. Xochicalco s/n, Col. Centro, Temixco, Morelos, CP 62580, Mexico
Valades-Pelayo, P. J.:
Instituto de Energías Renovables, Universidad Nacional Autónoma de México, Priv. Xochicalco s/n, Col. Centro, Temixco, Morelos, CP 62580, Mexico
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