A generalised complete flux scheme for anisotropic advection-diffusion equations

Abstract In this paper, we consider separating the discretisation of diffusive and advective fluxes in complete flux scheme. This allows combination several methods for homogeneous with (CF) method. particular, explore hybrid mimetic mixed (HMM) method CF method, order to utilise advantages each these methods. The usage HMM us handle anisotropic diffusion tensors on generic polygonal (polytopal) grids, whereas provides a framework construction uniformly second-order even when problem is advection dominated.