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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
ON THE USE OF EXPLICIT FORMULATIONS IN THE HIGH ORDER DISCRETE ORDINATES SOLUTION OF THE RADIATIVE TRANSFER EQUATION IN ANISOTROPIC SCATTERING MEDIA
Submission Author:
Karine Rui , RS
Co-Authors:
Karine Rui, Liliane Barichello, Rudnei Dias da Cunha
Presenter: Karine Rui
doi://10.26678/ABCM.ENCIT2020.CIT20-0287
Abstract
Studies on the solution of the radiative transfer equation in multidimensional geometry are subject to permanent research and development due to requirements on the modeling of many problems of interest in several fields. According to the literature, one aspect that still deserves special attention is the case of anisotropic scattering media. In this work, the Analytical Discrete Ordinate Method (ADO Method), along with nodal techniques, is applied to obtain the solution of the two-dimensional discrete-ordinates radiative transfer equation in anisotropic scattering media. The complexity of the model is reduced through a transverse-integration process over each spatial direction and explicit solutions are then derived, for the discrete ordinates approximation of the original model. Particular attention is given to the use of alternative quadrature schemes that allow higher order schemes than the classical ones. Numerical results are provided for radiation density and radiative heat flux in a medium with anisotropic scattering. A detailed analysis is performed on the effects on the radiative heat flux of the optical thickness of the medium as well as reflectivity on the boundary of the domain. Comparisons with results available in the literature reinforce the good performance of the method in coarser meshes and indicate the importance of using higher order quadrature schemes to better describe models with anisotropy.
Keywords
radiative transfer, anisotropic scattering, high order quadrature scheme, ADO method
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