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Ideal gas flows with separation zones and time-dependent contact discontinuities of complicated shape

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Abstract

Some examples of flows with separation zones andmovable contact discontinuities obtained as a result of the numerical integration of the time-dependent equations for an ideal gas are presented. The examples concern a steady annular separation zone on the blunt nose of a body in a supersonic flow, periodic shedding of unsteady discontinuities from a cylinder in a steady uniform subsonic flow with a supercritical Mach number, and the complicated deformation of a contact (tangential) discontinuity, namely, the boundaries of a two-dimensional jet, either subsonic or supersonic, flowing into a cocurrent subsonic low-velocity flow. A multiple increase in the difference grid capacity in the numerical integration of the Euler equations indicates the absence of a noticeable scheme viscosity effect in the examples calculated. The inviscid nature of the separation flows obtained is also confirmed by their well-known counterparts constructed in the ideal incompressible fluid approximation. The time-average velocity fields of the two-dimensional jet and the intensity of its sound field are in reasonable agreement with the available data.

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Authors
  1. A. N. Kraiko
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  2. K. S. P’yankov
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__________

Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, 2006, pp. 41–54.

Original Russian Text Copyright © 2006 by Kraiko and P’yankov.

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Kraiko, A.N., P’yankov, K.S. Ideal gas flows with separation zones and time-dependent contact discontinuities of complicated shape. Fluid Dyn 41, 708–724 (2006). https://doi.org/10.1007/s10697-006-0090-3

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  • DOI: https://doi.org/10.1007/s10697-006-0090-3

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