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May 14, 2026The Journal of the Acoustical Society of America0 citations

Resolvent analysis of Mach wave radiated from a data assimulated supersonic jet

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RWRenwei WangYOYuta OzawaTNTakayuki Nagata

Key Points

  • This research aims to analyze the Mach wave radiation from axisymmetric supersonic jets using resolvent analysis.
  • Conducted two-dimensional resolvent analysis using the Linstab2D solver.
  • Assimilated Reynolds-averaged Navier-Stokes simulations with experimental Particle Image Velocimetry data.
  • Computed resolvent modes across different Strouhal numbers and azimuthal modes.
  • Observed Mach wave propagation patterns at Mach numbers 1.5, 1.8, and 2.0.
  • Noted that the propagation angle of Mach wave increases with higher jet Mach numbers.
  • Found that the acoustic source for higher Strouhal numbers is situated more upstream, with the axisymmetric mode (m = 0) exhibiting the largest gain.

Abstract

A resolvent analysis of Mach wave radiation from an axisymmetric supersonic jets was conducted by a two-dimensional resolvent solver (Linstab2D). The Reynolds-averaged Navier–Stokes (RANS) simulations were assimulated to experimentally obtained PIV data, and the RNAS results were employed as base flow of resolvent analyses. The series of resolvent analyses are conduted. Resolvent modes at different Strouhal numbers and azimuthal modes were computed, and the effects of jet Mach number on propagation of the Mach wave was discussed. Results clearly show Mach-wave propagation patterns at Mach 1.5, 1.8, and 2.0. Furthermore, the Mach-wave propagation angle increases with an increasing jet Mach number. On the other hand, the acoustic source of the higher Strouhal number are located at more upstream side. The axisymmetric mode (m = 0) has the largest gain compared with other azimuthal modes.

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Cite This Study

Wang et al. (2025) studied this question.

synapsesocial.com/papers/6a05680ea550a87e60a2072ahttps://doi.org/10.1121/10.0040738
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