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We develop a time-dependent multi-group multidimensional relativisticradiative transfer code, which is required to numerically investigate radiationfrom relativistic fluids involved in, e.g., gamma-ray bursts and activegalactic nuclei. The code is based on the spherical harmonic discrete ordinatemethod (SHDOM) that evaluates a source function including anisotropicscattering in spherical harmonics and implicitly solves the static radiativetransfer equation with a ray tracing in discrete ordinates. We implementtreatments of time dependence, multi-frequency bins, Lorentz transformation,and elastic Thomson and inelastic Compton scattering to the publicly availableSHDOM code. Our code adopts a mixed frame approach; the source function isevaluated in the comoving frame whereas the radiative transfer equation issolved in the laboratory frame. This implementation is validated with varioustest problems and comparisons with results of a relativistic Monte Carlo code.These validations confirm that the code correctly calculates intensity and itsevolution in the computational domain. The code enables us to obtain anEddington tensor that relates first and third moments of intensity (energydensity and radiation pressure) and is frequently used as a closure relation inradiation hydrodynamics calculations.

Time-dependent Multi-group Multidimensional Relativistic Radiative Transfer Code Based On Spherical Harmonic Discrete Ordinate Method