Sedov explosion with accelerated CRs with η = 0.5 (left panels),and obliquity-dependent acceleration efficiency η = 0.5ζ(θ_B) with either a uniform magnetic field (middle panels) or a random magnetic field (right panels). Top and bottom panels: respectively slices of density and CR pressure at time t = 0.05, with the solid circle line indicating the position of the Sedov shock front for the exact solution with γ_e = 7∕5, which are reproduced in all panels to guide the eye throughout (the random magnetic field configuration is better fitted with γ_e = 1.55), and with magnetic unit vectors overplotted as black segments (the length scale of the random magnetic field corresponds to the size of two large arrows). In the simulation without obliquity dependent acceleration, CR production is close to uniform in the shell except for small numerical grid artefacts. With obliquity dependency, CRs accumulate in polar caps for a uniform magnetic field, and in small patches for the random magnetic field corresponding to the length scale of the field. The position and shape of the shell are also affected by the presence and the configuration of the magnetic field with respectto the obliquity-independent case.