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The development of a neutrino moment based radiative-transfer code tosimulate binary neutron-star mergers can easily become an obstacle path becauseof the numerous ways in which the solution of the equations may fail. Wedescribe the implementation of the grey M1 scheme in our fullygeneral-relativistic magnetohydrodynamics code and detail those choices andstrategies that could lead either to a robust scheme or to a series offailures. In addition, we present new tests designed to show the consistencyand accuracy of our code in conditions that are similar to realistic mergingconditions and introduce a new, publicly available, benchmark based on thehead-on collision of two neutron stars. This test, which is computationallyless expensive than a complete merging binary but has all the potentialpitfalls of the full scenario, can be used to compare future implementations ofM1 schemes with the one presented here.

A practical guide to a moment approach for neutrino transport in numerical relativity