Geodesic
Calculation of particle dynamics in radiationless model of plasma
Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 83-92.

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

An implicit numerical scheme for the particle dynamics equations is considered taking into account the specifics of the Darwin model of plasma. The problems of it's consistency, accuracy and stability are considered, sowing the adequacy of transfer of basic physical effects related to the motion of charges in electromagnetic field. On the basis of the scheme proposed an optimal numerical algorithm, considering the problem of it's effectiveness.
Keywords: PIC, Vlasov–Darwin, particle dynamics, impicit scheme.
Mots-clés : Particle-in-Cell 
@article{MM_2010_22_10_a5,
     author = {L. V. Borodachev and D. O. Kolomiets},
     title = {Calculation of particle dynamics in radiationless model of plasma},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {83--92},
     publisher = {mathdoc},
     volume = {22},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_10_a5/}
}
TY  - JOUR
AU  - L. V. Borodachev
AU  - D. O. Kolomiets
TI  - Calculation of particle dynamics in radiationless model of plasma
JO  - Matematičeskoe modelirovanie
PY  - 2010
SP  - 83
EP  - 92
VL  - 22
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2010_22_10_a5/
LA  - ru
ID  - MM_2010_22_10_a5
ER  - 
%0 Journal Article
%A L. V. Borodachev
%A D. O. Kolomiets
%T Calculation of particle dynamics in radiationless model of plasma
%J Matematičeskoe modelirovanie
%D 2010
%P 83-92
%V 22
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2010_22_10_a5/
%G ru
%F MM_2010_22_10_a5
L. V. Borodachev; D. O. Kolomiets. Calculation of particle dynamics in radiationless model of plasma. Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 83-92. http://geodesic.mathdoc.fr/item/MM_2010_22_10_a5/

[1] Khokni R., Istvud Dzh., Chislennoe modelirovanie metodom chastits, Mir, M., 1987, 640 pp.

[2] Nilson K., Lyuis G., “Modeli ukrupnennykh chastits v bezyzluchatelnom predele”, Upravlyaemyi termoyadernyi sintez, Mir, M., 1980, 395–418

[3] Hewett D. W., “Elimination of electromagnetic radiation in plasma simulation: the Darwin or magnetoinductive approximation”, Space Science Reviews, 42 (1985), 29–40 | DOI

[4] Borodachëv L. V., Darvinskoe opisanie samosoglasovannykh elektromagnitnykh polei plazmy i osobennosti ego diskretnoi interpretatsii, preprint No 19, MGU, Fizicheskii fakultet, 2000, 14 pp.

[5] Borodachëv L. V., “Chislennaya interpretatsiya polevogo opisaniya v diskretnoi darvinskoi modeli s neyavnoi skhemoi raschëta dinamiki chastits”, Mat. modelirovanie, 17:9 (2005), 53–59 | Zbl

[6] Borodachëv L. V., Mingalëv I. B., Mingalëv O. V., “Chislennoe reshenie diskretnoi modeli Vlasova–Darvina na osnove optimalnoi pereformulirovki polevykh uravnenii”, Mat. modelirovanie, 18:11 (2006), 117–125 | MR | Zbl

[7] Borodachëv L. V., “Neyavnaya approksimatsiya uravnenii dvizheniya darvinskoi modeli plazmy”, ZhVMMF, 30:6 (1991), 934–939 | MR

[8] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977, 656 pp. | MR | Zbl

[9] Frank-Kamenetskii D. A., Lektsii po fizike plazmy, Atomizdat, M., 1964, 288 pp. | MR

[10] Borodachëv L. V., Kolomiets D. O., “Elektronnaya vaibelevskaya neustoichivost plazmy s temperaturnoi anizotropiei”, Vestn. MGU. Ser. 3, 65:2 (2010), 15–19

[11] Borodachev L. V., Kolomiets D. O., “Single-species Weibel instability of radiationless plasma”, J. Plasma Physics, 2010 (to appear) | DOI