Scale-Space Interactions in Shock Dominant Flows
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Turbulent flows, characterised by chaotic and random fluctuations in flow variables, are ubiquitous in nature with a wide range of applications in various domains. The wide range of spatial scales and their interactions make the analysis of turbulent flow very complex. Interscale energy transfer plays a crucial role in the interaction between shock waves and turbulent flows. Researchers are observed that the turbulence is amplified after the interaction with shock. For the current study transonic flow past circular arc bump at a Reynolds number of 1725 based on the inlet displacement thickness. The DNS is carried out using an unstructured finite-volume-based gas kinetic scheme based on the Bhatnagar-Gross-Krook (BGK) model for the compressible Navier-Stokes equation. The spatial gradients are calculated using a second-order least square method and Venkatakrishnan limiter. The time stepping is done by a 3rd-order, 3-stage, explicit strong stability preserving Runge-Kutta (eSSPRK-3,3) method. The DNS data is used to study the interscale transport of the turbulent kinetic energy using the scale-space energy density transport equations. From the analysis, it is observed that production terms are amplified across the shock away from the wall, and they stay prominent even after the shock. Interscale transport term shows a reverse trend, with them staying prominent in the regions closer to the wall where separation is observed.
