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.
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Original Russian Text © M.V. Lipavskii, A.I. Tolstykh, E.N. Chigirev, 2013, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2013, Vol. 53, No. 3, pp. 417–432.
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Lipavskii, M.V., Tolstykh, A.I. & Chigirev, E.N. Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations. Comput. Math. and Math. Phys. 53, 296–310 (2013). https://doi.org/10.1134/S0965542513030081
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DOI: https://doi.org/10.1134/S0965542513030081