Simulation of radiation expansion of laser plasma in external magnetic field
Matematičeskoe modelirovanie, Tome 21 (2009) no. 11, pp. 33-46.

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Radiation expansion of laser plasma in external magnetic field is investigated in this work. Two-dimensional system of ideal magnetohydrodynamics with radiative transfer in cylindrical system of coordinates was solved numerically using second- order conservative TVD difference scheme. Multigroup flux-limited diffusion scheme was applied for solution of radiative transfer equation. At the initial moment heating of target that consist vapors of aluminum is implemented by action short laser pulse with duration time 30 nanoseconds and Gaussian profile by space with half-thickness 0.03 centimeters. Cases with regard and without taking of radiation transfer and inclusion of magnetic field effects are considered. The numerical simulations show that inclusion of radiation transfer changes dynamic of laser expansion quantitatively and qualitatively.
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D. O. Ustyugov; S. D. Ustyugov. Simulation of radiation expansion of laser plasma in external magnetic field. Matematičeskoe modelirovanie, Tome 21 (2009) no. 11, pp. 33-46. http://geodesic.mathdoc.fr/item/MM_2009_21_11_a3/

[1] Ustyugov D. O., Ustyugov S. D., “Evolyutsiya lazernoi plazmy vo vneshnem magnitnom pole”, Matematicheskoe modelirovanie, 20:8 (2008), 74–86 | Zbl

[2] Mazhukin V. I., Nossov V. V., Flamant G., Smurov I., “Modeling of radiation transfer and emission spectra in laser-induced plasma of Al vapor”, Journal of Quantitative Spectroscopy and Radiative Transfer, 73 (2002), 451 | DOI

[3] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | MR

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

[5] Kalitkin N. N., Ritus I. V., Mironov A. M., Ionizatsionnoe ravnovesie s uchetom vyrozhdeniya elektronov, preprint No 46, IPM im. M. V. Keldysha, M., 1983, 27 pp.

[6] Mazhukin V. I., Nossov V. V., Smurov I., Flamant G., “Modeling of radiation transfer in low temperature nanosecond laser-induced plasma of Al vapour”, J. Phys. D: Appl. Phys., 37 (2004), 185 | DOI

[7] Mazhukin V., Smurov I., Flamant G., “Simulation of laser plasma dynamic: influence of ambient pressure and intensity of laser radiation”, J. Comp. Phys., 112:1 (1994), 78 | DOI | Zbl

[8] Turpault R., Frank M., Dubroca B., Klar A., “Multigroup half space moment approximations to the radiative heat transfer equations”, Journal of Computational Physics, 198 (2004), 363 | DOI | Zbl

[9] Gordon L. Olson, “Efficient solution of multi-dimensional flux-limited nonequilibrium radiation diffusion coupled to material conduction with second-order time discretization”, Journal of Computational Physics, 226 (2007), 1181 | DOI | Zbl

[10] Yee H. C., Klopfer G. H., Montagné J.-L., “High-resolution shock-capturing schemes for inviscid and viscous hypersonic flows”, Journal of Computational Physics, 88:1 (1990), 31 | DOI | MR | Zbl

[11] Chi-Wang Shu, Stanley Osher, “Efficient implementation of essentially non-oscillatory shock-capturing schemes”, Journal of Computational Physics, 77:2 (1988), 439 | DOI | MR | Zbl

[12] Knoll D. A., Rider W. J., Olson G. L., “Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion”, Journal of Quantitative Spectroscopy and Radiative Transfer, 70 (2001), 25 | DOI | MR

[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 (1992), 631 | DOI | MR | Zbl