Skip to main content
SpringerLink
Log in

Modeling of Radiative Heat Conduction on High-Performance Computing Systems

  • COMPUTER SCIENCE
  • Published:
Doklady Mathematics Aims and scope Submit manuscript

Abstract

For problems related to radiative heat conduction, an algorithm is proposed that is well adapted to the architecture of systems with extramassive parallelism. According to the underlying method, a term with a small parameter multiplying the second time derivative is included in the model describing the process. Examples of numerical results obtained using this model on detailed spatial meshes are given, and their comparison with results based on the classical radiative heat conduction model are presented.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Dover, New York, 2002; Fizmatlit, Moscow, 2008).

  2. B. N. Chetverushkin, Mathematical Simulation of Radiating Gas Dynamics (Nauka, Moscow, 1985) [in Russian].

    Google Scholar 

  3. D. V. Bisikalo, A. G. Zhilkin, and A. A. Boyarchuk, Gas Dynamics of Close Binary Stars (Fizmatlit, Moscow, 2013) [in Russian].

    Google Scholar 

  4. V. V. Kuzenov, A. I. Lebo, I. G. Lebo, and S. V. Ryzhkov, Physical and Mathematical Models and Methods for Calculating the Effects of High-Power Laser and Plasma Pulses on Condensed and Gaseous Media (Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Moscow, 2017) [in Russian].

  5. B. Nayak and S. V. G. Menon, Laser Particle Beams 30 (4), 517–523 (2012).

    Article  Google Scholar 

  6. A. A. Samarskii and A. V. Gulin, Stability of Difference Schemes (URSS, Moscow, 2009) [in Russian].

    MATH  Google Scholar 

  7. V. E. Golant, A. P. Zhilinsky, and I. E. Sakharov, Fundamentals of Plasma Physics (Atomizdat, Moscow, 1977; Wiley, New York, 1980).

  8. B. N. Chetverushkin, Kinetic Schemes and Quasi-Gasdynamic System of Equations (MAKS, Moscow, 2004; CIMNE, Barcelona, 2008).

  9. S. I. Repin and B. N. Chetverushkin, Dokl. Math. 88 (1), 417–420 (2013).

    Article  MathSciNet  Google Scholar 

  10. E. E. Myshetskaya and V. F. Tishkin, Comput. Math. Math. Phys. 55 (8), 1270–1275 (2015).

    Article  MathSciNet  Google Scholar 

  11. M. D. Surnachev, V. F. Tishkin, and B. N. Chetverushkin, Differ. Equations 52 (7), 817–823 (2016).

    Article  MathSciNet  Google Scholar 

  12. B. N. Chetverushkin and A. V. Gulin, Dokl. Math. 86 (2), 681–683 (2012).

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work was supported by the Russian Foundation for Basic Research, grant no. 18-01-00587-a. The computations were performed on the K100 and K60 computers at the Federal Research Center Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences.

Author information

Authors and Affiliations

  1. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    B. N. Chetverushkin & O. G. Olkhovskaya

Authors
  1. B. N. Chetverushkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. G. Olkhovskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. G. Olkhovskaya.

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., Olkhovskaya, O.G. Modeling of Radiative Heat Conduction on High-Performance Computing Systems. Dokl. Math. 101, 172–175 (2020). https://doi.org/10.1134/S1064562420020088

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562420020088

Keywords:

Search

Navigation