Geodesic
LATRANT: two-dimensional radiative Lagrangian gas dynamics for ICF problems
Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 63-77.

Voir la notice de l'article provenant de la source Math-Net.Ru

2D-Lagrangian gas dynamic code ATLANT and 2D multigroup radiation transport code LATRA were combined into united code LATRANT for the simulation of ICF radiation gas dynamic problems in $r$-$z$ geometry. New program takes into account radiation transport in multigroup approach and gas dynamics according to an improved Lagrangian difference scheme. Simulation of the two-shell glass-DT target compression by isotropic X-rays was taken as a quasi-ID test. The obtained plasma parameters are presented. Qualitative difference between the LATRANT results and the results obtained in threetemperature approximation is demonstrated. The compression of the same target by angle nonhomogeneous irradiation was simulated. Symmetrization of inner shell compression and fuel preheating has been observed as a characteristic feature of indirect compression schemes. 
@article{MM_2004_16_3_a7,
     author = {E. N. Aristova and A. B. Iskakov},
     title = {LATRANT: two-dimensional radiative {Lagrangian} gas dynamics for {ICF} problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {63--77},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_3_a7/}
}
TY  - JOUR
AU  - E. N. Aristova
AU  - A. B. Iskakov
TI  - LATRANT: two-dimensional radiative Lagrangian gas dynamics for ICF problems
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 63
EP  - 77
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_3_a7/
LA  - ru
ID  - MM_2004_16_3_a7
ER  - 
%0 Journal Article
%A E. N. Aristova
%A A. B. Iskakov
%T LATRANT: two-dimensional radiative Lagrangian gas dynamics for ICF problems
%J Matematičeskoe modelirovanie
%D 2004
%P 63-77
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2004_16_3_a7/
%G ru
%F MM_2004_16_3_a7
E. N. Aristova; A. B. Iskakov. LATRANT: two-dimensional radiative Lagrangian gas dynamics for ICF problems. Matematičeskoe modelirovanie, Tome 16 (2004) no. 3, pp. 63-77. http://geodesic.mathdoc.fr/item/MM_2004_16_3_a7/

[1] S. I. Braginskii, Yavleniya perenosa v plazme, Voprosy teorii plazmy, 1, ed. M. A. Leontovich, Gosatomizdat, M., 1963, 287 pp. | MR

[2] N. N. Kalitkin, O dvukhtemperaturnoi plazme, prepr. 8, In-t prikl. matem., M., 1971, 9 pp.

[3] V. G. Novikov, A. F. Nikiforov, V. V. Valko, “Koeffitsienty pogloscheniya fotonov v plazme po modeli Diraka–Foka–Slettera i ikh sravnenie s rezultatami poluempiricheskikh metodov”, Teplofizika vysokikh temperatur, 31:6 (1993), 881–889

[4] E. N. Aristova, V. Ya. Goldin, A. V. Kolpakov, “Metodika rascheta perenosa izlucheniya v tele vrascheniya”, Matem. Modelirovanie, 9:3 (1997), 91–108 | MR | Zbl

[5] R. A. Volkova, V. M. Goloviznin, V. K. Korshunov, Dvumernye variatsionno-raznostnye skhemy gazovoi dinamiki s multipletnym chislom termodinamicheskikh stepenei svobody, preprint 64, IPM, Moskva, 1982 | MR

[6] A. B. Iskakov, I. G. Lebo and V. F. Tishkin, “$2D$ Numerical Simulation of the Interaction of High-Power Laser Pulses with Plane Targets Using the “ATLANT-C” Lagrangian Code”, Journal of Russian Laser Research, 23:3 (2000), 247–263 | DOI

[7] A. B. Iskakov, I. G. Lebo, V. B. Rozanov, V. F. Tishkin, “On the neutron yield in two-beams scheme of laser heating and compression of spherical shell targets with a low density coating”, Journal of Russian Laser Research, 22:1 (2001), 82–89 | DOI

[8] V. Ya. Goldin, “Kvazidiffuzionnyi metod resheniya kineticheskogo uravneniya”, Zh. vychisl. matem. i matem. fiz., 4:6 (1964), 1078–1087 | MR

[9] V. Ya. Goldin, O matematicheskom modelirovanii zadach sploshnoi sredy s neravnovesnym perenosom, Sovremennye problemy matem. Fiz. i vychisl. matem., Nauka, M., 1982, 340 pp. | MR

[10] V. Ya. Goldin, D. A. Goldina, A. V. Kolpakov, A. V. Shil'kov, “Matematicheskoe modelirovanie gazodinamicheskikh protsessov pri vysokoi plotnosti energii izlucheniya”, VANT, Ser. Metodiki i programmy chisl. resheniya zadach matem. fiz., 1986, no. 2, 59–66

[11] V. Ya. Goldin, V. A. Degtyarev, A. V. Kolpakov, Priblizhennyi uchet nestatsionarnosti v uravneniyakh kvazidiffuzii, prepr. 122, In-t prikl. matem., M., 1984

[12] V. Ya. Goldin, A. V. Kolpakov, “Matematicheskoe modelirovanie lazernogo szhatiya sfericheskoi termoyadernoi misheni so steklyannoi obolochkoi”, Matem. modelirovanie, 7:11 (1995), 29–38 | MR

[13] D. Yu. Anistratov, E. N. Aristova, V. Ya. Goldin, “Nelineinyi metod resheniya zadach perenosa izlucheniya v srede”, Matem. modelirovanie, 8:12 (1996), 3–28 | MR | Zbl

[14] V. Ya. Goldin, N. N. Kalitkin, T. V. Shishova, “Nelineinye raznostnye skhemy dlya giperbolicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 5:5 (1965), 938–944 | MR

[15] E. N. Aristova, V. Ya. GoVdin, A. V. Kolpakov, Proc. of Int. Conf. M'99-Madrid: Mathematics and Computation, Reactor Ohysics and Environmental Analysis in Nuclear Application (47, 28035 Madrid, Spain), 1, Published by Senda Editorial, S. A. Isla de Saipan

[16] E. H. Aristova, V. Ya. Goldin, “Nelineinoe uskorenie iteratsii resheniya ellipticheskikh sistem uravnenii”, Matem. modelirovanie, 14:9 (2001), 82–90 | MR