Solution of the matter transport problem at high Peclet numbers

Authors

DOI:

https://doi.org/10.26089/NumMet.v18r431

Keywords:

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

Abstract

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.

Author Biographies

A.I. Sukhinov

Yu.V. Belova

A.E. Chistyakov

References

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  4. A. I. Sukhinov, A. E. Chistakov, and M. V. Iakobovskii, “Accuracy of the Numerical Solution of the Equations of Diffusion-Convection Using the Difference schemes of Second and Fourth Order Approximation Error,” Vestn. South Ural State Univ. Ser. Vychisl. Mat. Inf. 5 (1), 47-62 (2016).
  5. A. I. Sukhinov and Yu. V. Belova, “The Mathematical Model of Transformation of Phosphorus, Nitrogen and Silicon Forms in the Moving Turbulent Water Environment in Problems of Dynamics of Planktonic Populations,” Inzhener. Vestn. Dona 37 (3), 50 (2015).
  6. A. I. Sukhinov, D. S. Khachunts, and A. E. Chistyakov, “A Mathematical Model of Pollutant Propagation in Near-Ground Atmospheric Layer of a Coastal Region and Its Software Implementation,” Zh. Vychisl. Mat. Mat. Fiz. 55 (7), 1238-1254 (2015) [Comput. Math. Math. Phys. 55 (7), 1216-1231 (2015)].
  7. A. I. Sukhinov, A. V. Nikitina, and A. E. Chistyakov, “Numerical Simulation of Biological Remediation of Azov Sea,” Mat. Model. 24 (9), 3-21 (2012).

Published

12-09-2017

How to Cite

Сухинов А., Белова Ю., Чистяков А. Solution of the Matter Transport Problem at High Peclet Numbers // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2017. 18. 371-380. doi 10.26089/NumMet.v18r431

Issue

Section

Section 1. Numerical methods and applications

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