Skip to main content
Log in

Simulation of radiation expansion of laser plasma in an external magnetic field

  • Published:
Mathematical Models and Computer Simulations Aims and scope

Abstract

Radiation expansion of laser plasma in an external magnetic field is investigated in the paper. A two-dimensional system of ideal magneto-hydrodynamics with radiation transfer in a cylindrical system of coordinates was solved numerically using second-order conservative TVD difference scheme by space and time. A multigroup flux-limited diffusion scheme was applied for the solution of the radiative transfer equation. At the initial moment, the heating of a target, consisting of vapors of aluminum was implemented by a short-action laser pulse with a duration time of 30 nanoseconds and Gaussian profile by space with a half-thickness of 0.03 centimeters. Cases that take into account, as well as those that do not take into account, the radiation transfer and the magnetic field effects are considered. The numerical simulations show that inclusion of radiation transfer changes the dynamics of laser expansion quantitatively and qualitatively.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. O. Ustyugov and S. D. Ustyugov, “Laser Plasma Evolution in the External Magnetic Field,” Mat. Model. 20(8), 74–86 (2008).

    MATH  Google Scholar 

  2. V. I. Mazhukin, V. V. Nossov, G. Flamant, and I. Smurov, “Modeling of Radiation Transfer and Emission Spectra in Laser-Induced Plasma of Al Vapor,” J. Quant. Spectroscopy Rad. Transfer 73, 451 (2002).

    Article  Google Scholar 

  3. A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Problems of How to Solve Numerically the Hyperbolic Set of Equations (Fizmatlit, Moscow, 2001) [in Russian].

    Google Scholar 

  4. G. S. Romanov, K. L. Stepanov, and M. I. Surkin, Opt. Spektrosk. 53, 642 (1982).

    Google Scholar 

  5. N. N. Kalitkin, I. V. Ritus, and A. M. Mironov, “Ionization Equilibrium by Considering Electrons Degeneracy,” Preprint Keldysh Institute of Applied Mathematics No. 46 (IPM. im. M. V. Keldysha, Moscow, 1983).

    Google Scholar 

  6. V. I. Mazhukin, V. V. Nossov, I. Smurov, and G. Flamant, “Modeling of Radiation Transfer in Low Temperature Nanosecond Laser-Induced Plasma of Al Vapor,” J. Phys. D: Appl. Phys. 37, 185 (2004).

    Article  Google Scholar 

  7. V. Mazhukin, I. Smurov, and G. Flamant, “Simulation of Laser Plasma Dynamic: Influence of Ambient Pressure and Intensity of Laser Radiation,” J. Comp. Phys. 112(1), 78 (1994).

    Article  MATH  Google Scholar 

  8. R. Turpault, M. Frank, B. Dubroca, and A. Klar, “Multigroup Half Space Moment Approximations to the Radiative Heat Transfer Equations,” J. Comput. Phys. 198, 363 (2004).

    Article  MATH  Google Scholar 

  9. G. L. Olson, “Efficient Solution of Multi-Dimensional Flux-Limited Nonequilibrium Radiation Diffusion Coupled To Material Conduction with Second-Order Time Discretization,” J. Comput. Phys. 226, 1181 (2007).

    Article  MATH  Google Scholar 

  10. H. C. Yee, G. H. Klopfer, and J.-L. Montagne, “High-Resolution Shock-Capturing Schemes for Inviscid and Viscous Hypersonic Flows,” J. Comput. Phys. 88(1), 31 (1990).

    Article  MATH  MathSciNet  Google Scholar 

  11. Chi-Wang Shu and S. Osher, “Efficient Implementation of Essentially Non-Oscillatory Shock-Capturing Schemes,” J. Comput. Phys. 77(2), 439 (1988).

    Article  MATH  MathSciNet  Google Scholar 

  12. D. A. Knoll, W. J. Rider, and G. L. Olson, “Nonlinear Convergence, Accuracy, and Time Step Control in Nonequilibrium Radiation Diffusion,” J. Quant. Spectroscopy Rad. Transfer 70, 25 (2001).

    Article  Google Scholar 

  13. H. van der Vorst, “Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems,” SIAM J. Sci. Statist. Comput. 13, 631 (1992).

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © D.O. Ustyugov, S.D. Ustyugov, 2009, published in Matematicheskoe Modelirovanie, 2009, Vol. 21, No. 11, pp. 33–46.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ustyugov, D.O., Ustyugov, S.D. Simulation of radiation expansion of laser plasma in an external magnetic field. Math Models Comput Simul 2, 362–374 (2010). https://doi.org/10.1134/S2070048210030105

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2070048210030105

Keywords

Navigation