Skip to main content
SpringerLink
Log in

DSMC Modeling of a Single Hot Spot Evolution Using the Landau-Fokker-Planck Equation

  • Published:
Acta Applicandae Mathematicae Aims and scope Submit manuscript

Abstract

Numerical solution of a fully nonlinear one dimensional in space and three dimensional in velocity space electron kinetic equation is presented. Direct Simulation Monte Carlo (DSMC) method used for the nonlinear Landau-Fokker-Planck (LFP) collision operator is combined with Particle-in-Cell (PiC) simulations. An assumption of a self-consistent ambipolar electric field is used. The illustrative simulation results for the relaxation of the initial temperature perturbation are compared with the antecedent analytical and numerical results.

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
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Batishchev, O.V., Bychenkov, V.Yu., Detering, F., Rozmus, W., Sydora, R., Capjack, C.E., Novikov, V.N.: Phys. Plasmas 9, 2302–2310 (2002)

    Article  Google Scholar 

  2. Bird, G.A.: Molecular Gas Dynamics and Direct Simulation of Gas Flows p. 458. Clarendon, Oxford (1994)

    Google Scholar 

  3. Bobylev, A.V.: On expansion of Boltzman integral into Landau series. Dokl. Acad. Nauk USSR 225, 535–538 (1975) in Russian, translation in Sov. Phys. Dokl. 20, 740–742 (1976)

    MathSciNet  Google Scholar 

  4. Bobylev, A.V., Potapenko, I.F.: J. Comp. Phys. 246, 123–144 (2013)

    Article  MathSciNet  Google Scholar 

  5. Bobylev, A.V., Mossberg, E., Potapenko, I.F.: Rarefied gas dynamics. In: Ivanov, M.S., Rebrov, A.K. (eds.) Proceedings of XXV International Symposium on RGD, pp. 479–483. Publ. of the Siberian Branch of RAS, Novosibisk (2006)

    Google Scholar 

  6. Brantov, A.V., Bychenkov, V.Yu., Batishchev, O.V., Rozmus, W.: Comput. Phys. Commun. 164, 67–72 (2004)

    Article  Google Scholar 

  7. Nanbu, K.: Phys. Rev. E 55, 4642–4652 (1997)

    Article  Google Scholar 

  8. Potapenko, I.F., Bobylev, A.V., Mossberg, E.: Transp. Theory Stat. Phys. 37, 113–170 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  9. Schurtz, G.P., Nicolai, Ph.D., Busquet, M.: Phys. Plasmas 7, 4238–4249 (2000)

    Article  Google Scholar 

  10. Spitzer, L., Häarm, R.: Phys. Rev. 89, 977 (1953)

    Article  MATH  Google Scholar 

  11. Takizuka, T., Abe, H.: J. Comput. Phys. 25, 205–219 (1977)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Karlstad University, Karlstad, Sweden

    Alexander Bobylev

  2. Lebedev Physics Institute, RAS, Moscow, Russian Federation

    Andrei Brantov & Valerii Bychenkov

  3. Dukhov All-Russia Research Institute of Automatics, Moscow, Russian Federation

    Andrei Brantov, Valerii Bychenkov, Stanislav Karpov & Irina Potapenko

  4. Keldysh Institute for Applied Mathematics, RAS, Moscow, Russian Federation

    Irina Potapenko

Authors
  1. Alexander Bobylev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Andrei Brantov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Valerii Bychenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Stanislav Karpov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Irina Potapenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Irina Potapenko.

Additional information

This paper is presented in honour of the Professor Salvatore Rionero 80th birthday.

The support from RFBR of RAS, G8a for I.F.P. is acknowledged.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bobylev, A., Brantov, A., Bychenkov, V. et al. DSMC Modeling of a Single Hot Spot Evolution Using the Landau-Fokker-Planck Equation. Acta Appl Math 132, 107–116 (2014). https://doi.org/10.1007/s10440-014-9940-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10440-014-9940-x

Keywords

Mathematics Subject Classification

Search

Navigation