Finite volume methods for convection-diffusion problems
The paper is a short overview of the nature of one- and two-dimensional convection-diffusion problems and of the use of finite volume methods (FVM) (cell-center (CCM) and cell-vertex (CVM)) in their solution. The advantages and disadvantages of FVM are discussed. The author presents his arguments to answer of the question: CCM or CVM, comparing the two finite volume variants in several ways: is the number of unknows equal to the number of equations; how compact are the schemes; sensitivity to the mesh deformation; parasitic modes and stability.
scientific article; zbMATH DE number 903491