论文标题
各向异性对流扩散方程的通用完整通量方案
A generalised complete flux scheme for anisotropic advection-diffusion equations
论文作者
论文摘要
在本文中，我们考虑将整个通量方案中扩散和对流通量的离散化分开。这允许将几种均匀通量的离散方法与完整通量（CF）方法组合在一起。特别是，我们探讨了混合模拟混合（HMM）方法和CF方法的组合，以利用每种方法的优势。 HMM的使用使我们能够在通用多边形（多地）网格上处理各向异性扩散张量；而CF方法为构建统一的二阶方法提供了一个框架，即使问题的统治为主。
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 utilize 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.
