Instability and acoustic fields of the Rankine vortex as seen from long-term calculations with the tenth-order multioperators-based scheme

Andrei I. Tolstykh and Michael V. Lipavskii

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 147, issue C, 301-320

Abstract: The instability of the compressible Rankine vortex is investigated using a multioperators-based scheme with the tenth-order approximation to the convection terms of the fluid dynamics equations supplied by the ninth-order dissipation mechanism. The scheme was optimized for high resolution of small scales by choosing its free parameters. The results of long-term calculations with several meshes allowed to reproduce the general scenario of the instability development with self-excitations of different modes and the final stage of rotating quadrupole sound radiation. The calculated frequencies and sound pressure levels are presented for several Mach numbers.

Keywords: Tenth-order multioperators; Euler equations; Compressible Rankine vortex; Instability; Sound radiation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:147:y:2018:i:c:p:301-320

DOI: 10.1016/j.matcom.2017.08.006

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