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

中文翻译：

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各向异性对流扩散方程的广义完全通量格式

在本文中，我们考虑在完整通量方案中分离扩散通量和对流通量的离散化。这允许将均匀磁通的几种离散化方法与完全磁通（CF）方法结合使用。特别是，我们探索了混合模拟混合（HMM）方法和CF方法的组合，以利用每种方法的优势。HMM的使用使我们能够处理通用的多边形（多边形）网格上的各向异性扩散张量，而CF方法为均匀二阶方法的构建提供了框架，即使在对流占主导地位的情况下也是如此。