Reynolds Stress Perturbation for Epistemic Uncertainty Quantification of RANS Models Implemented in OpenFOAM
1
Department of Engineering, Aarhus University, 8000 Aarhus C, Denmark
2
Kamstrup A/S, Industrivej 28, Stilling, 8660 Skanderborg, Denmark
*
Authors to whom correspondence should be addressed.
†
Current address: SGL Carbon GmbH, Werner-von-Siemens-Strasse 18, 86405 Meitingen, Germany.
Fluids 2019, 4(2), 113; https://doi.org/10.3390/fluids4020113
Received: 3 May 2019 / Revised: 16 June 2019 / Accepted: 18 June 2019 / Published: 22 June 2019
(This article belongs to the Special Issue Recent Numerical Advances in Fluid Mechanics)
Reynolds-averaged Navier-Stokes (RANS) models are widely used for the simulation of engineering problems. The turbulent-viscosity hypothesis is a central assumption to achieve closures in this class of models. This assumption introduces structural or so-called epistemic uncertainty. Estimating that epistemic uncertainty is a promising approach towards improving the reliability of RANS simulations. In this study, we adopt a methodology to estimate the epistemic uncertainty by perturbing the Reynolds stress tensor. We focus on the perturbation of the turbulent kinetic energy and the eigenvalues separately. We first implement this methodology in the open source package OpenFOAM. Then, we apply this framework to the backward-facing step benchmark case and compare the results with the unperturbed RANS model, available direct numerical simulation data and available experimental data. It is shown that the perturbation of both parameters successfully estimate the region bounding the most accurate results.
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Keywords:
computational fluid dynamics; RANS closures; uncertainty quantification; Reynolds stress tensor; backward-facing step; OpenFOAM
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MDPI and ACS Style
Cremades Rey, L.F.; Hinz, D.F.; Abkar, M. Reynolds Stress Perturbation for Epistemic Uncertainty Quantification of RANS Models Implemented in OpenFOAM. Fluids 2019, 4, 113. https://doi.org/10.3390/fluids4020113
AMA Style
Cremades Rey LF, Hinz DF, Abkar M. Reynolds Stress Perturbation for Epistemic Uncertainty Quantification of RANS Models Implemented in OpenFOAM. Fluids. 2019; 4(2):113. https://doi.org/10.3390/fluids4020113
Chicago/Turabian StyleCremades Rey, Luis F.; Hinz, Denis F.; Abkar, Mahdi. 2019. "Reynolds Stress Perturbation for Epistemic Uncertainty Quantification of RANS Models Implemented in OpenFOAM" Fluids 4, no. 2: 113. https://doi.org/10.3390/fluids4020113
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