ABSTRACT
This chapter describes the methods for handling combined convection/diffusion problems. It discusses the typical schemes for discretizing the convection and diffusion terms in combined convection/diffusion problems. In case of the convection/diffusion problems, the discretization schemes are closely related to the accuracy of the results. The Peclet number represents the relative strength of convection and diffusion in convection/diffusion problems. As can be seen from its definition, the influence of the convection and diffusion terms on the distribution of a transport property ? in convection/diffusion problems is closely related to the Peclet number. A more accurate approximation to one-dimensional convection/diffusion problems can be given by the power-law scheme. The chapter explains the properties of the power-law scheme are similar to those of the hybrid difference scheme. The power-law scheme is known to be more accurate for one-dimensional problems than the hybrid difference scheme, and it can be used as an alternative to the hybrid difference scheme in many practical flow calculations.
