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Higher-Order Difference Schemes in Heat- and Mass-Transfer Problems

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Abstract

Studies of many physical processes lead to the numerical solution of boundary-value problems for macroequations with a small parameter. Classical difference schemes poorly describe the solution of the original differential problem in boundary-layer regions, because they have an approximation viscosity comparable with the mesh size. This paper proposes difference schemes of higher order of approximation, which allow one to adequately simulate the motion of a viscous fluid in a wide range of Reynolds numbers, as well as reduce the time and amount of calculations due to the efficiency of the methods used in numerical simulation.

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Funding

This work was supported by the Russian Science Foundation and the Cabinet of Ministers of the Republic of Tatarstan as part of scientific project no. 23-21-10008, https://rscf.ru/project/23-21-10008/.

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Authors and Affiliations

  1. Tupolev Kazan National Research Technical University, 420111, Kazan, Russia

    I. V. Anisimova & V. N. Ignatyev

Authors
  1. I. V. Anisimova
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  2. V. N. Ignatyev
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Correspondence to I. V. Anisimova.

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Translated by E. Chernokozhin

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Anisimova, I.V., Ignatyev, V.N. Higher-Order Difference Schemes in Heat- and Mass-Transfer Problems. Tech. Phys. Lett. 49, 175–178 (2023). https://doi.org/10.1134/S1063785024700160

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  • DOI: https://doi.org/10.1134/S1063785024700160

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