A return to eddy viscosity model for epistemic UQ in RANS closures

2017/05/15 by Wouter Edeling, Gianluca Iaccarino, Edeling, W. N. +3
Decision Sciences · Engineering · Environmental Science · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Probabilistic and Robust Engineering Design #Wind and Air Flow Studies

paper · pdf · doi:10.48550/arxiv.1705.05354

openalex publication_date 2017/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the purpose of Uncertainty Quantification (UQ) of Reynolds-Averaged Navier-Stokes closures, we introduce a framework in which perturbations in the eigenvalues of the anisotropy tensor are made in order to bound a Quantity-of-Interest based on limiting states of turbulence. To make the perturbations representative of local flow features, we introduce two additional transport equations for linear combinations of these aforementioned eigenvalues. The location, magnitude and direction of the eigenvalue perturbations are now governed by the model transport equations. The general behavior of our discrepancy model is determined by two coefficients, resulting in a low-dimensional UQ problem. We will furthermore show that the behavior of the model is intuitive and rooted in the physical interpretation of misalignment between the mean strain and Reynolds stresses.

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