Finite Volume Discretization of the Convection-Diffusion Equation in GeneralCoordinates

摘要

Finite volume discretizations are presented of the convection-diffusion equationin general coordinates in two dimensions. The diffusion coefficient is piecewise continuous. The coordinate system is assumed to result from a piecewise bilinear boundary-fitted mapping of a physical domain on a rectangle. It is shown how to discretize such that the discretization is (approximately) exact for constant and linear functions, despite the irregularity of the equations in general coordinates. (Copyright (c) 1991 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)