When solving the radiation transport equation with the discrete ordinates (SN) method oneobserves ray-effects which result from a break in rotational symmetry from the finite setof directions chosen by SN . We present a modified version of the SN method, which wecall as-SN , that contains an additional artificial forward-peaked scattering operator. Thisoperator scatters particles between the ordinates so that ray-effects are reduced. Similarto artificial viscosity for space discretizations, the additional term vanishes as the numberof ordinates grows. We present an implicit-in-time implementation that uses standardSN solver technology. First numerical experiments are shown.
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