Plasma Physics Reports

, Volume 34, Issue 8, pp 639–649 | Cite as

Two-dimensional MHD simulations of a plasma focus with allowance for the acceleration mechanism for neutron generation

  • S. F. Garanin
  • V. I. Mamyshev
Plasma Dynamics

Abstract

The problem is formulated and a numerical model is developed for calculating MHD flows in plasma-focus (PF) devices. An implicit (with respect to the magnetic field) difference scheme and a method for its numerical implementation are proposed. The scheme allows one to describe plasma flows with drastically different densities and, therefore, to take into account the presence of a vacuum region behind the PF current sheath. Taking into account this region is important to numerically simulate the focusing process and adequately describe the acceleration mechanism for the generation of fast ions and fusion neutrons. The results of calculations are compared with the experimental data on the plasma dynamics in two different types of PF device. A model of accelerated ions is proposed to estimate the contribution of the acceleration mechanism to the total neutron yield. The neutron yield calculated in the framework of this model for three different geometries of the PF chamber at currents of 0.5–1.5 MA differs from the measured values by less than a factor of 2.

PACS numbers

52.58.Lq 52.65.-y 

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References

  1. 1.
    N. V. Filippov, T. I. Filippova, and V. P. Vinogradov, Nucl. Fusion, Suppl. 2, 577 (1962).Google Scholar
  2. 2.
    J. W. Mather, Phys. Fluids 7, S28 (1964).CrossRefADSGoogle Scholar
  3. 3.
    N. G. Makeev, V. G. Rumyantsev, and G. N. Cheremukhin, in Physics and Technology of Pulsed Ionizing Radiation Sources for Studying Fast Processes, Ed. by N. G. Makeev (VNIIEF, Sarov, 1996), p. 281 [in Russian].Google Scholar
  4. 4.
    V. V. Vikhrev and S. I. Braginskii, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1980; Consultants Bureau, New York, 1986), Vol. 10.Google Scholar
  5. 5.
    V. F. D’yachenko and V. S. Imshennik, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1974; Consultants Bureau, New York, 1980), Vol. 8.Google Scholar
  6. 6.
    R. L. Morse, in Methods in Computational Physics, Ed. by B. Alder, S. Fernbach, and M. Rotenberg (Academic, New York, 1970), Vol. 9, p. 213.Google Scholar
  7. 7.
    K. V. Roberts and D. E. Potter, in Methods in Computational Physics, Ed. by B. Alder, S. Fernbach, and M. Rotenberg (Academic, New York, 1970), Vol. 9, p. 402.Google Scholar
  8. 8.
    N. V. Filippov, Fiz. Plazmy 9, 25 (1983) [Sov. J. Plasma Phys. 9, 14 (1983)].Google Scholar
  9. 9.
    B. A. Trubnikov, Plasma Theory (Énergoatomizdat, Moscow, 1996) [in Russian].Google Scholar
  10. 10.
    E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Nauka, Moscow, 1979; Pergamon, Oxford, 1981).Google Scholar
  11. 11.
    R. C. Davidson and N. T. Gladd, Phys. Fluids 18, 1327 (1975).CrossRefADSGoogle Scholar
  12. 12.
    N. A. Krall and P. C. Liewer, Phys. Rev. A 4, 2094 (1971).CrossRefADSGoogle Scholar
  13. 13.
    S. I. Braginskii, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Gosatomizdat, Moscow, 1963; Consultants Bureau, New York, 1965), Vol. 1.Google Scholar
  14. 14.
    B. N. Kozlov, At. Énerg. 12, 238 (1962).Google Scholar
  15. 15.
    V. I. Golubev, N. G. Makeev, E. S. Pashchenko, et al., in Physics and Technology of Pulsed Ionizing Radiation Sources for Studying Fast Processes, Ed. by N. G. Makeev (VNIIEF, Sarov, 1996), p. 297 [in Russian].Google Scholar
  16. 16.
    G. V. Karpov, in Proceedings of the VII International Conference on Megagauss Magnetic Field Generation and Related Topics, Sarov, 1997, Ed. by V. K. Chernyshev, V. D. Selemir and L. N. Plyashkevich (VNIIEF, Sarov, 1997), p. 749.Google Scholar
  17. 17.
    S. V. Trusillo, B. Ya. Guzhovskiĭ, N. G. Makeev, and V. A. Tsukerman, in Physics and Technology of Pulsed Ionizing Radiation Sources for Studying Fast Processes, Ed. by N. G. Makeev (VNIIEF, Sarov, 1996), p. 292 [in Russian].Google Scholar
  18. 18.
    B. Freeman, R. Caird, D. Erickson, et al., in Proceedings of the III International Conference on Megagauss Magnetic Field Generation and Related Topics, Novosibirsk, Russia, 1983, Ed. by V. M. Titov and G. A. Shvetsov (Nauka, Moscow, 1984), p. 136.Google Scholar
  19. 19.
    S. F. Garanin, E. S. Pavlovskiĭ, and V. B. Yakubov, Prikl. Mekh. Tekh. Fiz., No. 2, 9 (1984).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • S. F. Garanin
    • 1
  • V. I. Mamyshev
    • 1
  1. 1.Russian Federal Nuclear Center-All-Russia Research Institute of Experimental PhysicsSarov, Nizhni Novgorod oblastRussia

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