Geodesic
Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 417-432 
M. V. Lipavskii; A. I. Tolstykh; E. N. Chigerev. Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 417-432. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a9/
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     title = {Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For equations with convective terms, a difference scheme is described based on ninth-order multioperator approximations. Its optimization aimed at achieving a high resolution of small scales of solutions is discussed. The scheme is applied to test problems, and shear layer instability is numerically simulated with a detailed analysis of developing vortex structures and their characteristics.

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