A spherical-harmonics method for multi-group or non-gray radiation transport

Statistics – Computation

Scientific paper

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Radiation Transport, Spherical Harmonics, Mathematical Models, Radiative Transfer

Scientific paper

The spherical-harmonics method, also called the P sub N method, is used to develop solutions to a class of multigroup or nongray radiation transport problems. The multigroup model considered allows an anisotropic scattering law and transfer from any group to any group. In addition to a spherical-harmonics solution for the case of a homogeneous radiative-transfer equation, a particular solution for the P sub N method is derived for the case of multigroup radiative transfer in a homogeneous plane-parallel medium that contains group sources that vary with position and direction. Computational aspects of the developed solutions are discussed, and numerical results for a test case are reported.

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