“…Among all the high order shock-capturing algorithms, upwind-biased and nonlinearly weighted approaches (e.g., Weighted Essentially Non-Oscillatory (WENO) scheme) are widely used in considerable amount of works because of their robustness to capture discontinuities in shock dominated flows and high order of accuracy in preserving turbulence features (Yamamoto and Daiguji 1993;Martín et al 2006;Titarev and Toro 2005;Pirozzoli 2011;Zhang, Shu, and Zhou 2006). The implicit large eddy simulation (ILES) framework utilizes shock-capturing schemes very frequently where the numerical dissipation is added through an upwinding scheme (Maulik and San 2017;Zhou et al 2014;Karaca, Lardjane, and Fedioun 2012). ILES has been successfully applied to complex flows in engineering and physical applications as an approach to simulate high (Re) flows with computational efficiency (Zhao, Lardjane, and Fedioun 2014;Grinstein, Margolin, and Rider 2007;Watanabe et al 2016;Zhou and Thornber 2016;Domaradzki, Xiao, and Smolarkiewicz 2003).…”