CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2265-2280
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A generalization of the CABARET finite difference scheme is proposed for linearized one-dimensional Euler equations based on the characteristic decomposition into local Riemann invariants. The new method is compared with several central finite difference schemes that are widely used in computational aeroacoustics. Numerical results for the propagation of an acoustic wave in a homogeneous field and the refraction of this wave through a contact discontinuity obtained on a strongly nonuniform grid are presented.
@article{ZVMMF_2009_49_12_a14,
author = {V. M. Goloviznin and S. A. Karabasov and T. K. Kozubskaya and N. V. Maksimov},
title = {CABARET scheme for the numerical solution of aeroacoustics problems: {Generalization} to linearized one-dimensional {Euler} equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2265--2280},
publisher = {mathdoc},
volume = {49},
number = {12},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a14/}
}
TY - JOUR AU - V. M. Goloviznin AU - S. A. Karabasov AU - T. K. Kozubskaya AU - N. V. Maksimov TI - CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 2265 EP - 2280 VL - 49 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a14/ LA - ru ID - ZVMMF_2009_49_12_a14 ER -
%0 Journal Article %A V. M. Goloviznin %A S. A. Karabasov %A T. K. Kozubskaya %A N. V. Maksimov %T CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 2265-2280 %V 49 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a14/ %G ru %F ZVMMF_2009_49_12_a14
V. M. Goloviznin; S. A. Karabasov; T. K. Kozubskaya; N. V. Maksimov. CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 12, pp. 2265-2280. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_12_a14/