Studying a numerical model of filling two-layer porous shells with gas. (English. Russian original) Zbl 1436.76057

Belolipetskij, A. A.; Semenov, K. O.

Mosc. Univ. Comput. Math. Cybern. 35, No. 4, 151-158 (2011); translation from Vestn. Mosk. Univ., Ser. XV 2011, No. 4, 3-10 (2011).

Summary: The authors propose and analytically study a numerical model of filling laser targets with hydrogen isotopes. The model presents the singularly perturbed initial boundary-value problem for a set of semilinear parabolic equations. An approximate solution of the problem is constructed using the small parameter method. Researchers from the Thermonuclear Target Laboratory at the Lebedev Physical Institute, Russian Academy of Sciences, used this result to develop a module of unsupported target formation.

MSC:

76S05	Flows in porous media; filtration; seepage
76N15	Gas dynamics (general theory)
76M45	Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Keywords:

laser target; inertial thermonuclear fusion; semilinear parabolic equations; singular perturbation; small parameter

References:

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[2]	I. V. Aleksandrova, A. N. Aleksandrov, A. A. Belolipetskii, et al., ”FST-Technologies for Production of Cryogenic Targets of HIPER-Class,” in Proc. 38th Int. Conf. on Plasma Physics and Problems of Controlled Fusion, Zvenigorod, Russia, Feb. 14–18, 2011 (PLAZMAIOFAN, Moscow, 2011), p. 131.
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[12]	A. A. Belolipetskii, ”On a Singularly Disturbed Stephan Problem Describing Destruction of the Fuel Layer in the Laser Target,” Vestn. Mosk. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 1, 10–18 (2008). · Zbl 1154.80005
[13]	A. A. Belolipetskii, E. A. Malinina, and K. O. Semenov, ”Mathematical Model of Degradation of the Fuel Layer by Heating of the Target with Thermal Radiation in the Work Chamber of the Reactor,” Prikl. Mat. Inform., No. 32, 5–19 (2010). · Zbl 1200.80007