Abstract
The quasi-random discrete ordinates method (QRDOM) is here proposed for the approximation of the solution of neutron transport problems. Its central idea is to explore a quasi Monte Carlo integration within the classical source iteration technique. It preserves the main characteristics of the discrete ordinates method, but it has the advantage of providing approximate solutions with mitigated ray effect. Application of the QRDOM to neutron transport problems in rectangular domains is discussed in detail. The method is tested against benchmark problems for which DOM solutions are known to suffer from ray effects. Numerical experiments indicate that the QRDOM provides accurate results and that it demands less discrete ordinates per source iteration compared to the classical DOM.
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