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

Author

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  • Tolstykh, Andrei I.
  • Lipavskii, Michael V.

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.

Suggested Citation

  • Tolstykh, Andrei I. & Lipavskii, Michael V., 2018. "Instability and acoustic fields of the Rankine vortex as seen from long-term calculations with the tenth-order multioperators-based scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 147(C), pages 301-320.
    • Handle: RePEc:eee:matcom:v:147:y:2018:i:c:p:301-320
    DOI: 10.1016/j.matcom.2017.08.006
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