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Published January 10, 2019 | public
Journal Article

Large eddy simulation investigation of the canonical shock–turbulence interaction


High resolution large eddy simulations (LES) are performed to study the interaction of a stationary shock with fully developed turbulent flow. Turbulent statistics downstream of the interaction are provided for a range of weakly compressible upstream turbulent Mach numbers M_t = 0.03−0.18, shock Mach numbers M_s = 1.2−3.0 and Taylor-based Reynolds numbers Re_λ = 20−2500. The LES displays minimal Reynolds number effects once an inertial range has developed for Re_λ > 100. The inertial range scales of the turbulence are shown to quickly return to isotropy, and downstream of sufficiently strong shocks this process generates a net transfer of energy from transverse into streamwise velocity fluctuations. The streamwise shock displacements are shown to approximately follow a k^(−11/3) decay with wavenumber as predicted by linear analysis. In conjunction with other statistics this suggests that the instantaneous interaction of the shock with the upstream turbulence proceeds in an approximately linear manner, but nonlinear effects immediately downstream of the shock significantly modify the flow even at the lowest considered turbulent Mach numbers.

Additional Information

© 2018 Cambridge University Press. (Received 15 December 2017; revised 28 August 2018; accepted 20 September 2018) This work was supported under Los Alamos National Laboratory (LANL) contract number 74372-001-09. This work used the Extreme Science and Engineering Discovery Environment (XSEDE) (Towns et al. 2014), which is supported by National Science Foundation grant number ACI-1053575. The authors would also like to thank D. Livescu of Los Alamos National Laboratory for providing parts of the linear analysis code used in this document.

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