Uncertainty Quantification and Calibration of the k − ǫ turbulence model

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Abstract

Nowadays, the numerical errors are decreased to an acceptable level in the sense that the variability of the model parameters is becoming more important for obtaining results with higher reliability. Therefore, the focus of this thesis is on the quantification of the uncertainties of the turbulent closure model k −ǫ. The k −ǫ model is tuned to free shear flows and used for wall-bounded flows in combination with wall functions. To increase the reliability of the k − ǫ model for predictions of turbulent flows the uncertainty quantification (UQ) methodology is applied in this thesis. As a test case the external flow over the airfoil DU96-W-180 is considered.