This article is cited in 3 papers

Solution of the matter transport problem at high Peclet numbers

A. I. Sukhinov, Yu. V. Belova, A. E. Chistyakov

Don State Technical University, Rostov-on-Don

Abstract: The aim of this work is the development of a difference scheme for solving the convection-diffusion problem at high Peclet numbers (${\rm Pe}>2$). In accordance with this aim, a new difference scheme for convection is proposed and compared with several existing schemes and some stability conditions are formulated for the proposed scheme. The convection-diffusion equations are solved on the basis of this new difference scheme at various Peclet numbers.

Keywords: transport problem, Peclet number, CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) scheme, stability.

UDC: 519.63

Received: 07.07.2017