Uncertainty quantification in LES of channel flow

Safta, Cosmin; Blaylock, Myra; Templeton, Jeremy; Domino, Stefan; Sargsyan, Khachik; Najm, Habib

doi:10.1002/fld.4272

Title: Uncertainty quantification in LES of channel flow

Abstract

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.

Authors:

Safta, Cosmin ^[1]; Blaylock, Myra ^[1]; Templeton, Jeremy ^[1]; Domino, Stefan ^[2]; Sargsyan, Khachik ^[1]; Najm, Habib ^[1]

Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Publication Date:: Tue Jul 12 00:00:00 EDT 2016

Research Org.:: Sandia National Lab. (SNL-CA), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1427243

Report Number(s):: SAND-2015-0938J
Journal ID: ISSN 0271-2091; 566911

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: International Journal for Numerical Methods in Fluids

Additional Journal Information:: Journal Volume: 83; Journal Issue: 4; Journal ID: ISSN 0271-2091

Publisher:: Wiley

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; large eddy simulation; Bayesian framework; calibration; model error; polynomial chaos; Rosenblatt transformation

Citation Formats


                    Safta, Cosmin, Blaylock, Myra, Templeton, Jeremy, Domino, Stefan, Sargsyan, Khachik, and Najm, Habib. Uncertainty quantification in LES of channel flow.  United States: N. p., 2016. 
Web.  doi:10.1002/fld.4272.

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                    Safta, Cosmin, Blaylock, Myra, Templeton, Jeremy, Domino, Stefan, Sargsyan, Khachik, & Najm, Habib. Uncertainty quantification in LES of channel flow.  United States.  https://doi.org/10.1002/fld.4272

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                    Safta, Cosmin, Blaylock, Myra, Templeton, Jeremy, Domino, Stefan, Sargsyan, Khachik, and Najm, Habib. Tue .  
"Uncertainty quantification in LES of channel flow".  United States.  https://doi.org/10.1002/fld.4272.  https://www.osti.gov/servlets/purl/1427243.

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@article{osti_1427243,

  title        = {Uncertainty quantification in LES of channel flow},

  author       = {Safta, Cosmin and Blaylock, Myra and Templeton, Jeremy and Domino, Stefan and Sargsyan, Khachik and Najm, Habib},

  abstractNote = {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.},

  doi          = {10.1002/fld.4272},

  journal      = {International Journal for Numerical Methods in Fluids},

  number       = 4,

  volume       = 83,

  place        = {United States},

  year         = {Tue Jul 12 00:00:00 EDT 2016},

  month        = {Tue Jul 12 00:00:00 EDT 2016}

}

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Similar Records

Title: Uncertainty quantification in LES of channel flow

Abstract

Citation Formats

Grid-independent large-eddy simulation using explicit filtering journal, October 2010

The REFLEX project: Comparing different algorithms and implementations for the inversion of a terrestrial ecosystem model against eddy covariance data journal, October 2009

Numerical analysis of the Burgers’ equation in the presence of uncertainty journal, December 2009

Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics journal, January 2009

A filtered-wall formulation for large-eddy simulation of wall-bounded turbulence journal, November 2008

Modeling of structural uncertainties in Reynolds-averaged Navier-Stokes closures journal, November 2013

Uncertainty quantification for porous media flows journal, September 2006

Bridging between eddy-viscosity-type and second-order turbulence models through a two-scale turbulence theory journal, July 1993

Bayesian Posterior Predictive Checks for Complex Models journal, February 2004

Bayesian uncertainty analysis with applications to turbulence modeling journal, September 2011

The Homogeneous Chaos journal, October 1938

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal, January 2002

Remarks on a Multivariate Transformation journal, September 1952

Risk Assessment of Scramjet Unstart Using Adjoint-Based Sampling Methods journal, March 2012

Subgrid length-scales for large-eddy simulation of stratified turbulence journal, August 1991

Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling journal, January 1986

Boundary procedures for the time-dependent Burgers' equation under uncertainty journal, March 2010

Stochastic Finite Elements: A Spectral Approach book, January 1991

Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes journal, January 2004

Theoretically based optimal large-eddy simulation journal, October 2009

Accounting for uncertainty in the analysis of overlap layer mean velocity models journal, July 2012

Direct numerical simulation of turbulent channel flow up to Reτ=590 journal, April 1999

Approximate deconvolution boundary conditions for large eddy simulation journal, August 2006

On the Statistical Calibration of Physical Models: STATISTICAL CALIBRATION OF PHYSICAL MODELS journal, February 2015

Measuring and testing dependence by correlation of distances journal, December 2007

Gaussian Hilbert Spaces book, January 1997

A posteriori analysis of numerical errors in subfilter scalar variance modeling for large eddy simulation journal, March 2011

An Adaptive Metropolis Algorithm journal, April 2001

Bayesian Analysis of Errors-in-Variables Regression Models journal, September 1995

Inference and Uncertainty Propagation of Atomistically Informed Continuum Constitutive Laws, part 2: Generalized Continuum Models Based on Gaussian Processes journal, January 2014

Experimentally informed optimization of turbulent diffusivity for a discrete hole film cooling geometry journal, December 2013

The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering journal, November 2003

Towards Wall-Normal Filtering for Large-Eddy Simulation journal, January 2006

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 journal, October 2012

Goal-oriented uncertainty propagation using stochastic adjoints journal, August 2012

A General Class of Commutative Filters for LES in Complex Geometries journal, October 1998

Optimal large eddy simulation of turbulent channel flow based on direct numerical simulation statistical data journal, October 2002

On the convergence of generalized polynomial chaos expansions journal, October 2011

Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos journal, August 2007

Database analysis of errors in large-eddy simulation journal, August 2003

Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection journal, February 2003

Parameter and prediction uncertainty in an optimized terrestrial carbon cycle model: Effects of constraining variables and data record length journal, January 2011

Data exploration of turbulence simulations using a database cluster conference, January 2007

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

Grid-independent large-eddy simulation using explicit filtering
journal, October 2010

The REFLEX project: Comparing different algorithms and implementations for the inversion of a terrestrial ecosystem model against eddy covariance data
journal, October 2009

Numerical analysis of the Burgers’ equation in the presence of uncertainty
journal, December 2009

Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
journal, January 2009

A filtered-wall formulation for large-eddy simulation of wall-bounded turbulence
journal, November 2008

Modeling of structural uncertainties in Reynolds-averaged Navier-Stokes closures
journal, November 2013

Uncertainty quantification for porous media flows
journal, September 2006

Bridging between eddy-viscosity-type and second-order turbulence models through a two-scale turbulence theory
journal, July 1993

Bayesian Posterior Predictive Checks for Complex Models
journal, February 2004

Bayesian uncertainty analysis with applications to turbulence modeling
journal, September 2011

The Homogeneous Chaos
journal, October 1938

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
journal, January 2002

Remarks on a Multivariate Transformation
journal, September 1952

Risk Assessment of Scramjet Unstart Using Adjoint-Based Sampling Methods
journal, March 2012

Subgrid length-scales for large-eddy simulation of stratified turbulence
journal, August 1991

Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling
journal, January 1986

Boundary procedures for the time-dependent Burgers' equation under uncertainty
journal, March 2010

Stochastic Finite Elements: A Spectral Approach
book, January 1991

Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes
journal, January 2004

Theoretically based optimal large-eddy simulation
journal, October 2009

Accounting for uncertainty in the analysis of overlap layer mean velocity models
journal, July 2012

Direct numerical simulation of turbulent channel flow up to Reτ=590
journal, April 1999

Approximate deconvolution boundary conditions for large eddy simulation
journal, August 2006

On the Statistical Calibration of Physical Models: STATISTICAL CALIBRATION OF PHYSICAL MODELS
journal, February 2015

Measuring and testing dependence by correlation of distances
journal, December 2007

Gaussian Hilbert Spaces
book, January 1997

A posteriori analysis of numerical errors in subfilter scalar variance modeling for large eddy simulation
journal, March 2011

An Adaptive Metropolis Algorithm
journal, April 2001

Bayesian Analysis of Errors-in-Variables Regression Models
journal, September 1995

Inference and Uncertainty Propagation of Atomistically Informed Continuum Constitutive Laws, part 2: Generalized Continuum Models Based on Gaussian Processes
journal, January 2014

Experimentally informed optimization of turbulent diffusivity for a discrete hole film cooling geometry
journal, December 2013

The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering
journal, November 2003

Towards Wall-Normal Filtering for Large-Eddy Simulation
journal, January 2006

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
journal, October 2012

Goal-oriented uncertainty propagation using stochastic adjoints
journal, August 2012

A General Class of Commutative Filters for LES in Complex Geometries
journal, October 1998

Optimal large eddy simulation of turbulent channel flow based on direct numerical simulation statistical data
journal, October 2002

On the convergence of generalized polynomial chaos expansions
journal, October 2011

Sensitivity analysis of large-eddy simulations to subgrid-scale-model parametric uncertainty using polynomial chaos
journal, August 2007

Database analysis of errors in large-eddy simulation
journal, August 2003

Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection
journal, February 2003

Parameter and prediction uncertainty in an optimized terrestrial carbon cycle model: Effects of constraining variables and data record length
journal, January 2011

Data exploration of turbulence simulations using a database cluster
conference, January 2007

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