Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations

Authors:
M. V. Lipavskii;A. I. Tolstykh;E. N. Chigirev
Affiliations:
Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119333;Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119333;Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia 119333
Venue:
Computational Mathematics and Mathematical Physics
Year:
2013

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Abstract

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.