Next Article in Journal
What Can Students Learn While Solving Colebrook’s Flow Friction Equation?
Next Article in Special Issue
Shock Capturing in Large Eddy Simulations by Adaptive Filtering
Previous Article in Journal / Special Issue
Effect of Overburden Height on Hydraulic Fracturing of Concrete-Lined Pressure Tunnels Excavated in Intact Rock: A Numerical Study
Article Menu

Export Article

Open AccessArticle

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)
  |  
PDF [1239 KB, uploaded 22 June 2019]
  |  

Abstract

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. View Full-Text
Keywords: computational fluid dynamics; RANS closures; uncertainty quantification; Reynolds stress tensor; backward-facing step; OpenFOAM computational fluid dynamics; RANS closures; uncertainty quantification; Reynolds stress tensor; backward-facing step; OpenFOAM
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fluids EISSN 2311-5521 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top