Skip to main content
Log in

Kinetic Algorithms for Modeling Conductive Fluids Flow on High-Performance Computing Systems

  • MATHEMATICS
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

Processes in the dynamics of electrically conducting fluid flows in complex heat transfer systems are mathematically modeled in detail on high-performance parallel computing systems. The study is based on the kinetically consistent magnetogasdynamic approach adjusted to this class of problems. The kinetically consistent algorithm is well adapted to the architecture of high-performance computing systems with massive parallelism, so that complex heat transfer systems can be effectively studied with a high resolution. The approach, method, and algorithms are described, and numerical results are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

REFERENCES

  1. B. Chetverushkin, N. D’Ascenzo, A. Saveliev, and V. Saveliev, Appl. Math. Lett. 72, 75–81 (2017). https://doi.org/10.1016/j.aml.2017.04.015

    Article  MathSciNet  Google Scholar 

  2. B. N. Chetverushkin, N. D’Ascenzo, A. V. Saveliev, and V. I. Saveliev, Dokl. Math. 95 (1), 68–71 (2017). https://doi.org/10.1134/S1064562417010185

    Article  MathSciNet  Google Scholar 

  3. O. M. Al-Habahbeh, M. Al-Saqqa, M. Safi, et al., Alexandria Eng. J. 55, 1347–1358 (2016). https://doi.org/10.1016/j.aej.2016.03.001

    Article  Google Scholar 

  4. B. N. Chetverushkin, N. D’Ascenzo, and V. I. Saveliev, Dokl. Math. 91 (3), 341–343 (2015). https://doi.org/10.1134/S1064562415030199

    Article  MathSciNet  Google Scholar 

  5. B. Chetverushkin, N. D’Ascenzo, A. Saveliev, and V. Saveliev, Math. Models Comput. Simul. 9 (5), 544–553 (2017). https://doi.org/10.1134/S2070048217050039

    Article  MathSciNet  Google Scholar 

  6. L. Boltzmann, Lectures on Gas Theory (Dover, New York, 1964).

    Book  Google Scholar 

  7. C. Cercignani, Theory and Applications of the Boltzmann Equations (Scottish Academic, Edinburgh, 1988).

    Book  Google Scholar 

  8. B. N. Chetverushkin, A. V. Saveliev, and V. I. Saveliev, Comput. Math. Math. Phys. 59 (3), 493–500 (2019). https://doi.org/10.1134/S0044466919030062

    Article  MathSciNet  Google Scholar 

  9. J. K. Fink and L. Leibowitz, “Thermodynamic and transport properties of sodium liquid and vapor,” ANL/RE-95/2 (1995).

Download references

Funding

This work was supported by the Russian Science Foundation, project no. 19-11-00104.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to B. N. Chetverushkin, A. V. Saveliev or V. I. Saveliev.

Additional information

Translated by I. Ruzanova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chetverushkin, B.N., Saveliev, A.V. & Saveliev, V.I. Kinetic Algorithms for Modeling Conductive Fluids Flow on High-Performance Computing Systems. Dokl. Math. 100, 577–581 (2019). https://doi.org/10.1134/S1064562419060206

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562419060206

Navigation