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Mathematical Models and Computer Simulations

Erschienen in:

01.04.2023

Parallel Implementation of the 16th-Order Multioperator Scheme: Application to Problems of the Instability of Vortices and Boundary Layers

verfasst von: M. V. Lipavskii, A. I. Tolstykh, D. A. Shirobokov

Erschienen in: Mathematical Models and Computer Simulations | Ausgabe 2/2023

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Abstract

A family of schemes for the Euler and Navier–Stokes equations is considered based on multioperator approximations of derivatives with the inversion of two-point operators and that permit very high orders. The general idea of the MPI-parallelization of the type of algorithms considered and the evaluation of parallel efficiency are described. The results of direct numerical simulations of the occurrence and development of two types of instability are presented: the instability of a Gaussian-type vortex in a subsonic flow and the Tollmien–Schlichting instability in a subsonic boundary layer. A common feature of these calculations is the absence of any artificial excitations. The “exciters” of instability were small differences between numerical solutions and exact ones, whose broadband spectra may indicate some analogy with the natural turbulent background in real flows.

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Titel: Parallel Implementation of the 16th-Order Multioperator Scheme: Application to Problems of the Instability of Vortices and Boundary Layers
verfasst von: M. V. Lipavskii
A. I. Tolstykh
D. A. Shirobokov
Publikationsdatum: 01.04.2023
Verlag: Pleiades Publishing
Erschienen in: Mathematical Models and Computer Simulations / Ausgabe 2/2023
Print ISSN: 2070-0482
Elektronische ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223020114

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