Publications Details

Discrete ordinates methods for radiation transport

Badruzzaman, A.; Fan, W.C.

The discrete ordinates (S{sub N}) method, first developed for stellar atmospheres, has been used extensively on various other radiation transport problems. In reactor analysis the method is generally used to generate parameters for design models based on more approximate but less expensive methods (such as diffusion theory) so that the spatial-spectrum coupling is represented accurately on a microscopic reaction rate level. It has a decisive advantage over Monte Carlo methods in computing the pin and assembly power profiles. In shielding problems where the penetration of the radiation can be deep, the method is used widely in design calculations. In oil-well logging problems which also involve deep penetration and have a stringent accuracy requirement on the detector responses, the method complements the Monte Carlo techniques. Recently, the discrete ordinates method with appropriate cross sections has been used in coupled photon-electron transport problems. In this paper the basic method is briefly reviewed, its applications illustrated, its merits and pitfalls discussed, and the recent advances in the attendant numerical techniques which have enhanced the capabilities of the method are enumerated. 28 refs., 1 fig.