"Solution of the matter transport problem at high Peclet numbers"
Sukhinov A.I., Belova Yu.V., and Chistyakov A.E.

The aim of this work is the development of a difference scheme for solving the convection-diffusion problem at high Peclet numbers (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.

  • Sukhinov A.I. – Don State Technical University; pl. Gagarina 1, Rostov-on-Don, 344010, Russia; Dr. Sci., Professor, Pro-Rector, e-mail: sukhinov@gmail.com
  • Belova Yu.V. – Don State Technical University, Faculty of Informatics and Computer Science; pl. Gagarina 1, Rostov-on-Don, 344010, Russia; Junior Scientist, e-mail: yvbelova@yandex.ru
  • Chistyakov A.E. – Don State Technical University, Faculty of Informatics and Computer Science; pl. Gagarina 1, Rostov-on-Don, 344010, Russia; Dr. Sci., Professor, e-mail: cheese_05@mail.ru