A numerical method of computing supersonic flows of a viscous gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 586-600
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A numerical method of solving simplified stationary Navier–Stokes equations is proposed. The method is based on using variables that can be described as “a function of the current and its orthogonal complement”. To solve the system of difference equations, a modification of the method of “global iterations” is proposed, which considerably accelerates the convergence of the iteration process. Examples of computations are given, and these are compared with the results of the asymptotic theory of locally broken flows.
@article{ZVMMF_1990_30_4_a9,
author = {S. G. Karataev and V. N. Koterov},
title = {A~numerical method of computing supersonic flows of a~viscous gas},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {586--600},
publisher = {mathdoc},
volume = {30},
number = {4},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a9/}
}
TY - JOUR AU - S. G. Karataev AU - V. N. Koterov TI - A numerical method of computing supersonic flows of a viscous gas JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 586 EP - 600 VL - 30 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a9/ LA - ru ID - ZVMMF_1990_30_4_a9 ER -
%0 Journal Article %A S. G. Karataev %A V. N. Koterov %T A numerical method of computing supersonic flows of a viscous gas %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 586-600 %V 30 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a9/ %G ru %F ZVMMF_1990_30_4_a9
S. G. Karataev; V. N. Koterov. A numerical method of computing supersonic flows of a viscous gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 586-600. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_4_a9/