“…Figure 10 (b) shows the fluctuating pressure variance as a function of the streamwise position to highlight the development of the acoustic field. The amplification of the pressure fluctuations across the shock wave is noted, agreeing with Sethuraman et al (2018). The acoustic wave is stronger in the multi-fluid case immediately after the shock wave.…”
Section: Evolution Of Turbulence State Downstream Of the Shocksupporting
Turbulence structure resulting from multi-fluid or multi-species, variable-density isotropic turbulence interaction with a Mach 2 shock is studied using turbulence-resolving shock-capturing simulations and Eulerian (grid) and Lagrangian (particle) methods. The complex roles density play in the modification of turbulence by the shock wave are identified. Statistical analyses of the velocity gradient tensor (VGT) show that the density variations significantly change the turbulence structure and flow topology. Specifically, a stronger symmetrization of the joint probability density function (PDF) of second and third invariants of the anisotropic velocity gradient tensor, PDF(Q * , R * ), as well as the PDF of the vortex stretching contribution to the enstrophy equation, are observed in the multi-species case. Furthermore, subsequent to the interaction with the shock, turbulent statistics also acquire a differential distribution in regions having different densities. This results in a nearly symmetrical PDF(Q * , R * ) in heavy fluid regions, while the light fluid regions retain the characteristic tear-drop shape. To understand this behavior and the return to "standard" turbulence structure as the flow evolves away from the shock, Lagrangian dynamics of the VGT and its invariants are studied by considering particle residence times and conditional particle variables in different flow regions. The pressure Hessian contributions to the VGT invariants transport equations are shown to be not only affected by the shock wave, but also by the density in the multi-fluid case, making them critically important to the flow dynamics and turbulence structure. arXiv:1908.05327v1 [physics.flu-dyn]
“…Figure 10 (b) shows the fluctuating pressure variance as a function of the streamwise position to highlight the development of the acoustic field. The amplification of the pressure fluctuations across the shock wave is noted, agreeing with Sethuraman et al (2018). The acoustic wave is stronger in the multi-fluid case immediately after the shock wave.…”
Section: Evolution Of Turbulence State Downstream Of the Shocksupporting
Turbulence structure resulting from multi-fluid or multi-species, variable-density isotropic turbulence interaction with a Mach 2 shock is studied using turbulence-resolving shock-capturing simulations and Eulerian (grid) and Lagrangian (particle) methods. The complex roles density play in the modification of turbulence by the shock wave are identified. Statistical analyses of the velocity gradient tensor (VGT) show that the density variations significantly change the turbulence structure and flow topology. Specifically, a stronger symmetrization of the joint probability density function (PDF) of second and third invariants of the anisotropic velocity gradient tensor, PDF(Q * , R * ), as well as the PDF of the vortex stretching contribution to the enstrophy equation, are observed in the multi-species case. Furthermore, subsequent to the interaction with the shock, turbulent statistics also acquire a differential distribution in regions having different densities. This results in a nearly symmetrical PDF(Q * , R * ) in heavy fluid regions, while the light fluid regions retain the characteristic tear-drop shape. To understand this behavior and the return to "standard" turbulence structure as the flow evolves away from the shock, Lagrangian dynamics of the VGT and its invariants are studied by considering particle residence times and conditional particle variables in different flow regions. The pressure Hessian contributions to the VGT invariants transport equations are shown to be not only affected by the shock wave, but also by the density in the multi-fluid case, making them critically important to the flow dynamics and turbulence structure. arXiv:1908.05327v1 [physics.flu-dyn]
“…(2016) and Sethuraman et al. (2018). Figure 6.Three-dimensional total acoustic energy as a function of the scaled distance .…”
Section: Detonation-induced Turbulencementioning
confidence: 97%
“…(2016) and Sethuraman et al. (2018) for different types of spectra in canonical shock-turbulence scenarios.…”
Section: Corrections To Rankine–hugoniot Equations and Propagation Speedmentioning
confidence: 99%
“…Note that near-field profiles are computed for purely inviscid flows. Depending on the particular conditions, there may exist another contribution coming from viscous dissipation that may not be neglected, as noted in Quadros et al (2016) and Sethuraman et al (2018).…”
“…Near-field contributions are studied in detail in Sinha (2012), Quadros, Sinha & Larsson (2016) and Sethuraman, Sinha & Larsson (2018) for inert shocks in canonical turbulent flows. To illustrate this effect, the emphasis is placed here on the near-field acoustic energy, which can be expressed as the sum of the non-vanishing and the vanishing contributions, namely , where measures the distance from the detonation pointing backwards.…”
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