  In this paper, we propose a numerical scheme for fluid models of magnetised
plasmas. One important feature of the numerical scheme is that it should be
able to handle the anisotropy induced by the magnetic field. In order to do so,
we propose the use of the hybrid mimetic mixed (HMM) scheme for diffusion. This
is combined with a hybridised variant of the Scharfetter-Gummel (SG) scheme for
advection. The proposed hybrid scheme can be implemented very efficiently via
static condensation. Numerical tests are then performed to show the
applicability of the combined HMM-SG scheme, even for highly anisotropic
magnetic fields.
