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Collaborative Computing Methods for One-Dimensional and Three-Dimensional Problems of Computational Fluid Dynamics

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Abstract

This article presents a method of collaborative one-dimensional (1D)–three-dimensional (3D) modeling of computational fluid dynamics. The method is based on the simultaneous calculation of 3D and 1D areas and linking the two parts of the problem by transferring the boundary conditions. The 3D approximation region is modeled based on the solution of Navier-Stokes equations. The 1D regions are calculated using the basic conservation laws and the empirical characteristics of elements. The proposed solutions are validated through several tasks. For each task, the results are compared with the available analytical solutions or the experimental data.

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Funding

The study was carried out as part of state assignment nos. 5.4568.2017/6.7 and 5.5176.2017/8.9 and was supported by grants of the Russian President for governmental support of leading Russian scientific schools (SS-2685.2018.5) and scientific studies of young PhD and DSc scholars (YD-4874.2018.9).

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Authors and Affiliations

  1. All-Russian Scientific Research Institute of Experimental Physics, 607190, Sarov, Russia

    A. V. Yalozo, A. S. Kozelkov, V. V. Kurulin, I. L. Materova & D. A. Utkin

  2. Nizhny Novgorod State Technical University, 603155, Nizhny Novgorod, Russia

    A. S. Kozelkov & A. A. Kurkin

  3. Sarov Institute of Physics and Technology, National Research Nuclear University MEPhI, 607186, Sarov, Russia

    A. S. Kozelkov

Authors
  1. A. V. Yalozo
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  2. A. S. Kozelkov
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  3. A. A. Kurkin
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  4. V. V. Kurulin
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  5. I. L. Materova
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  6. D. A. Utkin
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Corresponding author

Correspondence to A. V. Yalozo.

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Translated by L. Trubitsyna

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Yalozo, A.V., Kozelkov, A.S., Kurkin, A.A. et al. Collaborative Computing Methods for One-Dimensional and Three-Dimensional Problems of Computational Fluid Dynamics. Math Models Comput Simul 12, 536–545 (2020). https://doi.org/10.1134/S2070048220040213

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  • DOI: https://doi.org/10.1134/S2070048220040213

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