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Numerical modeling of vortex/shock wave interaction and its transformation by localized energy deposition

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Abstract

Three-dimensional unsteady Euler simulations are presented for the interaction of a streamwise vortex with an oblique shock of angle β = 23.3° at Mach 3 and 5. The flowfield features are analyzed for weak, moderate and strong interaction regimes. The details of the free recirculation zone at conditions of subsonic and supersonic flow on the vortex axis are considered. The vortex breakdown under conditions of a subsonic vortex core is characterized by a continuous growth and gradual degeneration of the region, unlike the supersonic core condition wherein a steady recirculation zone is achieved. The possibility of using a localized steady and pulsed periodic energy deposition on the vortex axis for stimulating the breakdown is demonstrated for various interaction regimes. It is shown that the formation of a subsonic wake downstream of an energy source lying on the vortex axis contributes to a more significant growth of the dimensions of the recirculation zone compared to the case when the vortex core remains supersonic. The possibility of achieving the effects similar to the steady case is demonstrated by the effect of a pulsed periodic energy source on the flow under consideration for corresponding equivalence parameters.

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Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, 630090, Russia

    A. A. Zheltovodov & E. A. Pimonov

  2. Rutgers- The State University of New Jersey, 98 Brett Road, Piscataway, NJ, 08854, USA

    Doyle D. Knight

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  1. A. A. Zheltovodov
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  2. E. A. Pimonov
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  3. Doyle D. Knight
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Correspondence to Doyle D. Knight.

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Communicated by D. Zeitoun.

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Zheltovodov, A.A., Pimonov, E.A. & Knight, D.D. Numerical modeling of vortex/shock wave interaction and its transformation by localized energy deposition. Shock Waves 17, 273–290 (2007). https://doi.org/10.1007/s00193-007-0111-0

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  • DOI: https://doi.org/10.1007/s00193-007-0111-0

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