Splitting algorithms as applied to the Navier–Stokes equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 700-714
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Implicit finite-difference schemes of approximate factorization and predictor-corrector schemes based on a special splitting of operators are proposed for the numerical solution of the Navier–Stokes equations governing a viscous compressible heat-conducting gas. The schemes are based on scalar tridiagonal Gaussian elimination and are unconditionally stable. The accuracy and efficiency of the algorithms are confirmed by computing two-dimensional flows of complex geometry.
@article{ZVMMF_2009_49_4_a11,
author = {V. M. Kovenya and A. Yu. Slyunyaev},
title = {Splitting algorithms as applied to the {Navier{\textendash}Stokes} equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {700--714},
publisher = {mathdoc},
volume = {49},
number = {4},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a11/}
}
TY - JOUR AU - V. M. Kovenya AU - A. Yu. Slyunyaev TI - Splitting algorithms as applied to the Navier–Stokes equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 700 EP - 714 VL - 49 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a11/ LA - ru ID - ZVMMF_2009_49_4_a11 ER -
%0 Journal Article %A V. M. Kovenya %A A. Yu. Slyunyaev %T Splitting algorithms as applied to the Navier–Stokes equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 700-714 %V 49 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a11/ %G ru %F ZVMMF_2009_49_4_a11
V. M. Kovenya; A. Yu. Slyunyaev. Splitting algorithms as applied to the Navier–Stokes equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 700-714. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a11/