Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 11, pp. 1953-1969
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The computational properties of a quasi-gasdynamic algorithm are analyzed as applied to strong-shock Riemann problems and acoustic disturbance propagation. It is shown that a unified treatment can be given to these problems in the framework of the algorithm. Stability conditions are numerically obtained, and the error and computational complexity of the difference scheme are estimated.
@article{ZVMMF_2009_49_11_a4,
author = {T. G. Elizarova and E. V. Shilnikov},
title = {Numerical analysis of a~quasi-gasdynamic algorithm as applied to the {Euler} equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1953--1969},
publisher = {mathdoc},
volume = {49},
number = {11},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a4/}
}
TY - JOUR AU - T. G. Elizarova AU - E. V. Shilnikov TI - Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 1953 EP - 1969 VL - 49 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a4/ LA - ru ID - ZVMMF_2009_49_11_a4 ER -
%0 Journal Article %A T. G. Elizarova %A E. V. Shilnikov %T Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 1953-1969 %V 49 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a4/ %G ru %F ZVMMF_2009_49_11_a4
T. G. Elizarova; E. V. Shilnikov. Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 11, pp. 1953-1969. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a4/