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A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation
Authors:M. V. Lipavskii  A. I. Tolstykh  E. N. Chigirev
Affiliation:(1) Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Abstract:The properties of ninth-order multioperator compact schemes based on known third-and fifth-order compact approximations are examined. The domains where the multioperators have fixed signs are determined numerically. The numerical results are compared with the exact solution to the Burgers equation. The multioperator schemes are applied to the problem of vortex sheet roll-up.
Keywords:multioperator approximations  direct numerical simulation problems  parallel computations  compact upwind approximations
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