Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Uncertainty quantification in LES of channel flow

Journal Article · · International Journal for Numerical Methods in Fluids
DOI:https://doi.org/10.1002/fld.4272· OSTI ID:1427243
 [1];  [1];  [1];  [2];  [1];  [1]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Here, in this paper, we present a Bayesian framework for estimating joint densities for large eddy simulation (LES) sub-grid scale model parameters based on canonical forced isotropic turbulence direct numerical simulation (DNS) data. The framework accounts for noise in the independent variables, and we present alternative formulations for accounting for discrepancies between model and data. To generate probability densities for flow characteristics, posterior densities for sub-grid scale model parameters are propagated forward through LES of channel flow and compared with DNS data. Synthesis of the calibration and prediction results demonstrates that model parameters have an explicit filter width dependence and are highly correlated. Discrepancies between DNS and calibrated LES results point to additional model form inadequacies that need to be accounted for.

Research Organization:
Sandia National Laboratories (SNL-CA), Livermore, CA (United States); Sandia National Laboratories, Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1427243
Report Number(s):
SAND--2015-0938J; 566911
Journal Information:
International Journal for Numerical Methods in Fluids, Journal Name: International Journal for Numerical Methods in Fluids Journal Issue: 4 Vol. 83; ISSN 0271-2091
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (45)

Multivariate Density Estimation book August 1992
Numerical prediction of turbulent flows using Reynolds-averaged Navier-Stokes and large-eddy simulation with uncertain inflow conditions: NUMERICAL PREDICTION USING RANS AND LES WITH UNCERTAIN CONDITIONS
  • Congedo, Pietro Marco; Duprat, Cedric; Balarac, Guillaume
  • International Journal for Numerical Methods in Fluids, Vol. 72, Issue 3 https://doi.org/10.1002/fld.3743
journal October 2012
On the Statistical Calibration of Physical Models: STATISTICAL CALIBRATION OF PHYSICAL MODELS journal February 2015
A General Class of Commutative Filters for LES in Complex Geometries journal October 1998
Stochastic Finite Elements: A Spectral Approach book January 1991
The SIERRA Framework for Developing Advanced Parallel Mechanics Applications book January 2003
Subgrid length-scales for large-eddy simulation of stratified turbulence journal August 1991
Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection journal February 2003
Boundary procedures for the time-dependent Burgers' equation under uncertainty journal March 2010
The REFLEX project: Comparing different algorithms and implementations for the inversion of a terrestrial ecosystem model against eddy covariance data journal October 2009
Approximate deconvolution boundary conditions for large eddy simulation journal August 2006
Goal-oriented uncertainty propagation using stochastic adjoints journal August 2012
Experimentally informed optimization of turbulent diffusivity for a discrete hole film cooling geometry journal December 2013
Uncertainty quantification for porous media flows journal September 2006
Numerical analysis of the Burgers’ equation in the presence of uncertainty journal December 2009
Bayesian uncertainty analysis with applications to turbulence modeling journal September 2011
Gaussian Hilbert Spaces book January 1997
The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering journal November 2003
Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos journal August 2007
Parameter and prediction uncertainty in an optimized terrestrial carbon cycle model: Effects of constraining variables and data record length journal January 2011
On the convergence of generalized polynomial chaos expansions journal October 2011
Optimal large eddy simulation of turbulent channel flow based on direct numerical simulation statistical data journal October 2002
Database analysis of errors in large-eddy simulation journal August 2003
A filtered-wall formulation for large-eddy simulation of wall-bounded turbulence journal November 2008
Theoretically based optimal large-eddy simulation journal October 2009
Grid-independent large-eddy simulation using explicit filtering journal October 2010
A posteriori analysis of numerical errors in subfilter scalar variance modeling for large eddy simulation journal March 2011
Accounting for uncertainty in the analysis of overlap layer mean velocity models journal July 2012
Modeling of structural uncertainties in Reynolds-averaged Navier-Stokes closures journal November 2013
Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling journal January 1986
Direct numerical simulation of turbulent channel flow up to Reτ=590 journal April 1999
Bridging between eddy-viscosity-type and second-order turbulence models through a two-scale turbulence theory journal July 1993
Towards Wall-Normal Filtering for Large-Eddy Simulation journal January 2006
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002
Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes journal January 2004
Data exploration of turbulence simulations using a database cluster conference January 2007
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics journal January 2009
Bayesian Posterior Predictive Checks for Complex Models journal February 2004
Measuring and testing dependence by correlation of distances journal December 2007
Remarks on a Multivariate Transformation journal September 1952
Inference and Uncertainty Propagation of Atomistically Informed Continuum Constitutive Laws, part 2: Generalized Continuum Models Based on Gaussian Processes journal January 2014
The Homogeneous Chaos journal October 1938
Bayesian Analysis of Errors-in-Variables Regression Models journal September 1995
An Adaptive Metropolis Algorithm journal April 2001
Risk Assessment of Scramjet Unstart Using Adjoint-Based Sampling Methods journal March 2012

Cited By (1)

Optimal Compressed Sensing and Reconstruction of Unstructured Mesh Datasets journal August 2017