Development of non-equilibrium wall-modeling for LES using uncertainty quantification method

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A simple yet very effective non-equilibrium wall-model for large-eddy simulation (LES) at arbitrarily high Reynolds numbers was proposed. The proposed model automatically satisfies the total shear stress balance within the log-layer by considering how the turbulence length scale changes with wall distance in the inner layer. We also developed a new Kriging-surrogate-model-based dynamic adaptive sampling method for an accurate and effective uncertainty quantification (UQ). The UQ algorithm was coupled with numerical simulation to quantify the impact of intrinsic uncertainties involved in the simulation on the quantities of interest for validation, rigorous measure of confidence, priorities and sensitivities, physical model development, and fine understanding of physics.