  Grid adaptation for implicit Large Eddy Simulation (LES) is a non-trivial
challenge due to the inherent coupling of the modeling and numerical errors. An
attempt to address the challenge first requires a comprehensive assessment and
then the development of error estimators to highlight regions that require
refinement. Following the work of Schranner et al., a novel approach to
estimate the numerical dissipation of the turbulent kinetic energy (TKE)
equations is proposed. The presented approach allows the computation of the
local numerical dissipation for arbitrary curvilinear grids through a
post-processing procedure. This method, as well as empirical and
kinetic-energy-based approaches, are employed to estimate the inherent
numerical TKE. We incorporate the numerical TKE to evaluate an effective eddy
viscosity, an effective Kolmogorov length scale, and an effective TKE to build
a family of Index Quality (IQ) based error estimators. The proposed IQ based
estimators are then assessed and utilized to show their effectiveness through
an application of grid adaptation for the periodic hill test case and
transitional flow over the SD 7003 airfoil. Numerical results are validated
through a comparison against reference LES and experimental data. Flow over the
adapted grids appear better abled to capture pertinent flow features and
integrated functions, such as the lift and drag coefficients.
