Two-dimensional high-resolution schemes and their application to the modeling of ionized waves of gas discharge
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 8, pp. 1420-1437
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The method for constructing upwind high-resolution schemes is proposed in application to the modeling of ionizing waves in gas discharges. The flux-limiting criterion for continuity equations is derived using the proposed partial monotony property of a finite difference scheme. For two-dimensional extension, the cone transport upwind approach for constructing genuinely two-dimensional difference schemes is used. It is shown that when calculating rotations of symmetric profiles by using this scheme, a circular form of isolines is not distorted in a distinct from the coordinate splitting method. The conservative second order finite-difference scheme is proposed for solving the equations system of the drift-diffusion model of electric discharge; this scheme implies finite-difference conservation laws of electric charge and full electric current (fully conservative scheme). Computations demonstrate absence of numeric oscillations and good resolution of two-dimensional ionizing fronts in simulations of streamer and barrier discharges.
@article{ZVMMF_2010_50_8_a6,
author = {Yu. V. Yurgelenas},
title = {Two-dimensional high-resolution schemes and their application to the modeling of ionized waves of gas discharge},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1420--1437},
publisher = {mathdoc},
volume = {50},
number = {8},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a6/}
}
TY - JOUR AU - Yu. V. Yurgelenas TI - Two-dimensional high-resolution schemes and their application to the modeling of ionized waves of gas discharge JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 1420 EP - 1437 VL - 50 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a6/ LA - ru ID - ZVMMF_2010_50_8_a6 ER -
%0 Journal Article %A Yu. V. Yurgelenas %T Two-dimensional high-resolution schemes and their application to the modeling of ionized waves of gas discharge %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 1420-1437 %V 50 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a6/ %G ru %F ZVMMF_2010_50_8_a6
Yu. V. Yurgelenas. Two-dimensional high-resolution schemes and their application to the modeling of ionized waves of gas discharge. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 8, pp. 1420-1437. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a6/