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U-Net as a Tool for Adjusting the Velocity Distributions of Rheomagnetic Fluids

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Intelligent Systems Design and Applications (ISDA 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 717))

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Abstract

Hydrodynamics of viscous fluids deals with Navier-Stokes equation - a partial differential equation with unknown distributions for velocity and pressure in a flow domain. It is difficult to find its analytical solution, especially in cases of unsteady flows, flows of non-Newtonian or rheomagnetic fluids. It is usually solved numerically using finite difference, finite element, or control volume methods. The goal of this research is application of proposed physics-based loss to rheomagnetic fluids flows modeling. The basic network architecture is U-Net. The network receives an image of the flow domain and calculates the fluid velocity distribution in a form of an image of the stream function distribution. The network was tested for the asymptotic case, the results were compared with numerical solution and known analytical solution. Proposed tool allows modeling 2D flows of rheomagnetic fluids. The proposed method is general and allows modeling 3D flows.

This paper was supported by the Russian Science Foundation under the grant No 22-19-00789, https://rscf.ru/en/project/22-19-00789. The authors gratefully acknowledge this support.

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Authors and Affiliations

  1. Orel State University, Komsomolskaya, 95, 302026, Orel, Russia

    Elena Kornaeva, Alexey Kornaev, Alexander Fetisov, Ivan Stebakov & Leonid Savin

  2. Innopolis University, Universitetskaya 1, 420500, Innopolis, Russia

    Alexey Kornaev

Authors
  1. Elena Kornaeva
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  2. Alexey Kornaev
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  3. Alexander Fetisov
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  4. Ivan Stebakov
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  5. Leonid Savin
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Corresponding author

Correspondence to Alexander Fetisov .

Editor information

Editors and Affiliations

  1. Faculty of Computing and Data Science, FLAME University, Pune, Maharashtra, India

    Ajith Abraham

  2. Center for Smart Computing Continuum, Burgenland, Austria

    Sabri Pllana

  3. University of Bari, Bari, Italy

    Gabriella Casalino

  4. University of Jinan, Jinan, Shandong, China

    Kun Ma

  5. Department of Computer Science and Engineering, Thapar Institute of Engineering and Technology, Patiala, Punjab, India

    Anu Bajaj

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Kornaeva, E., Kornaev, A., Fetisov, A., Stebakov, I., Savin, L. (2023). U-Net as a Tool for Adjusting the Velocity Distributions of Rheomagnetic Fluids. In: Abraham, A., Pllana, S., Casalino, G., Ma, K., Bajaj, A. (eds) Intelligent Systems Design and Applications. ISDA 2022. Lecture Notes in Networks and Systems, vol 717. Springer, Cham. https://doi.org/10.1007/978-3-031-35510-3_2

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