Discrete ordinates method applied to radiative transfer equation in complex geometries meshed by structured and unstructured grids

作者：Aghanajafi C^*; Abjadpour A

来源：Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2016, 38(3): 1007-1019.

DOI：10.1007/s40430-015-0397-2

• Radiation in participating medium
• Discrete ordinates method
• Unstructured grid
• Discontinuous heat flow divergence

In this paper, discrete ordinates method is used for solving the 2-D radiative transfer equation (RTE). To consider complex 2-D geometries, Cartesian and unstructured grids are used. Geometries with straight edges, inclined and curvilinear boundaries are considered. A participating medium which absorbs and emits radiation is considered. Block off and embedded boundary procedures are used to mesh the complex geometry with the Cartesian grid. For further precision, unstructured grid is used to deal with the complexity of the boundaries. This paper also aims at solving temperature fields for discontinuous heat loads in radiative equilibrium problems. It is shown that the incorporation of the unstructured grid in solving RTE is suitable for all geometries with simple, inclined and curvilinear boundaries.

• 出版日期2016-3