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Title: Global Sensitivity Analysis and Estimation of Model Error, Toward Uncertainty Quantification in Scramjet Computations

Abstract

The development of scramjet engines is an important research area for advancing hypersonic and orbital flights. Progress toward optimal engine designs requires accurate flow simulations together with uncertainty quantification. However, performing uncertainty quantification for scramjet simulations is challenging due to the large number of uncertain parameters involved and the high computational cost of flow simulations. These difficulties are addressed in this paper by developing practical uncertainty quantification algorithms and computational methods, and deploying them in the current study to large-eddy simulations of a jet in crossflow inside a simplified HIFiRE Direct Connect Rig scramjet combustor. First, global sensitivity analysis is conducted to identify influential uncertain input parameters, which can help reduce the system’s stochastic dimension. Second, because models of different fidelity are used in the overall uncertainty quantification assessment, a framework for quantifying and propagating the uncertainty due to model error is presented. Finally, these methods are demonstrated on a nonreacting jet-in-crossflow test problem in a simplified scramjet geometry, with parameter space up to 24 dimensions, using static and dynamic treatments of the turbulence subgrid model, and with two-dimensional and three-dimensional geometries.

Authors:
 [1];  [1];  [1];  [2];  [2];  [1];  [1];  [1];  [1]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE; Defense Advanced Research Projects Agency (DARPA)
OSTI Identifier:
1429819
Report Number(s):
SAND-2017-8103J
Journal ID: ISSN 0001-1452; 655797
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article
Journal Name:
AIAA Journal
Additional Journal Information:
Journal Volume: 56; Journal Issue: 3; Journal ID: ISSN 0001-1452
Publisher:
AIAA
Country of Publication:
United States
Language:
English

Citation Formats

Huan, Xun, Safta, Cosmin, Sargsyan, Khachik, Geraci, Gianluca, Eldred, Michael S., Vane, Zachary P., Lacaze, Guilhem, Oefelein, Joseph C., and Najm, Habib N.. Global Sensitivity Analysis and Estimation of Model Error, Toward Uncertainty Quantification in Scramjet Computations. United States: N. p., 2018. Web. doi:10.2514/1.J056278.
Huan, Xun, Safta, Cosmin, Sargsyan, Khachik, Geraci, Gianluca, Eldred, Michael S., Vane, Zachary P., Lacaze, Guilhem, Oefelein, Joseph C., & Najm, Habib N.. Global Sensitivity Analysis and Estimation of Model Error, Toward Uncertainty Quantification in Scramjet Computations. United States. https://doi.org/10.2514/1.J056278
Huan, Xun, Safta, Cosmin, Sargsyan, Khachik, Geraci, Gianluca, Eldred, Michael S., Vane, Zachary P., Lacaze, Guilhem, Oefelein, Joseph C., and Najm, Habib N.. 2018. "Global Sensitivity Analysis and Estimation of Model Error, Toward Uncertainty Quantification in Scramjet Computations". United States. https://doi.org/10.2514/1.J056278.
@article{osti_1429819,
title = {Global Sensitivity Analysis and Estimation of Model Error, Toward Uncertainty Quantification in Scramjet Computations},
author = {Huan, Xun and Safta, Cosmin and Sargsyan, Khachik and Geraci, Gianluca and Eldred, Michael S. and Vane, Zachary P. and Lacaze, Guilhem and Oefelein, Joseph C. and Najm, Habib N.},
abstractNote = {The development of scramjet engines is an important research area for advancing hypersonic and orbital flights. Progress toward optimal engine designs requires accurate flow simulations together with uncertainty quantification. However, performing uncertainty quantification for scramjet simulations is challenging due to the large number of uncertain parameters involved and the high computational cost of flow simulations. These difficulties are addressed in this paper by developing practical uncertainty quantification algorithms and computational methods, and deploying them in the current study to large-eddy simulations of a jet in crossflow inside a simplified HIFiRE Direct Connect Rig scramjet combustor. First, global sensitivity analysis is conducted to identify influential uncertain input parameters, which can help reduce the system’s stochastic dimension. Second, because models of different fidelity are used in the overall uncertainty quantification assessment, a framework for quantifying and propagating the uncertainty due to model error is presented. Finally, these methods are demonstrated on a nonreacting jet-in-crossflow test problem in a simplified scramjet geometry, with parameter space up to 24 dimensions, using static and dynamic treatments of the turbulence subgrid model, and with two-dimensional and three-dimensional geometries.},
doi = {10.2514/1.J056278},
url = {https://www.osti.gov/biblio/1429819}, journal = {AIAA Journal},
issn = {0001-1452},
number = 3,
volume = 56,
place = {United States},
year = {2018},
month = {2}
}

Works referenced in this record:

Hypersonic International Flight Research and Experimentation (HIFiRE) Fundamental Science and Technology Development Strategy
conference, June 2012


Sparse Legendre expansions via <mml:math altimg="si12.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-minimization
journal, May 2012


Compressed sensing
journal, April 2006


Sparse Approximate Solutions to Linear Systems
journal, April 1995


Dimension?Adaptive Tensor?Product Quadrature
journal, August 2003


Large eddy simulation of turbulent combustion processes in propulsion and power systems
journal, January 2006


Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems
journal, December 2007


Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet
journal, December 2015


Hypersonic International Flight Research and Experimentation Technology Development and Flight Certification Strategy
conference, June 2012


Effects of Real-Fluid Thermodynamics on High-Pressure Fuel Injection Processes
journal, April 2014


Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation
conference, June 2012

  • Ng, Leo Wai-Tsun; Eldred, Michael
  • 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
    20th AIAA/ASME/AHS Adaptive Structures Conference
    14th AIAA, 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference<BR>20th AIAA/ASME/AHS Adaptive Structures Conference<BR>14th AIAA
  • https://doi.org/10.2514/6.2012-1852

Large eddy simulation of swirling particle-laden flow in a model axisymmetric combustor
journal, January 2007


Toward Validation of Large Eddy Simulation for Turbulent Combustion
journal, March 2006


Theorems and examples on high dimensional model representation
journal, February 2003


Analysis of variance designs for model output
journal, March 1999


Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies
journal, January 2015


HIFiRE Flight 2 Project Overview and Status Update 2011
conference, June 2012

  • Jackson, Kevin; Gruber, Mark; Buccellato, Salvatore
  • 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference
  • https://doi.org/10.2514/6.2011-2202

Combustor Operability and Performance Verification for HIFiRE Flight 2
conference, June 2012


Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
journal, February 2006


Uncertainty quantification and error estimation in scramjet simulation
conference, June 2012

  • Witteveen, Jeroen; Duraisamy, Karthik; Iaccarino, Gianluca
  • 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference
  • https://doi.org/10.2514/6.2011-2283

Bayesian calibration of computer models
journal, August 2001


Idealized gas turbine combustor for performance research and validation of large eddy simulations
journal, March 2007


Enhancing 1 -minimization estimates of polynomial chaos expansions using basis selection
journal, May 2015


A multifidelity multilevel Monte Carlo method for uncertainty propagation in aerospace applications
conference, January 2017


A weighted -minimization approach for sparse polynomial chaos expansions
journal, June 2014


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


Analysis of high-pressure Diesel fuel injection processes using LES with real-fluid thermodynamics and transport
journal, January 2015


Validating predictions of unobserved quantities
journal, January 2015


Large Eddy Simulation of the HIFiRE Direct Connect Rig Scramjet Combustor
conference, January 2017


Dimensionality Reduction for Complex Models via Bayesian Compressive Sensing
journal, January 2014


Multilevel Monte Carlo Path Simulation
journal, June 2008


For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution
journal, January 2006


Making best use of model evaluations to compute sensitivity indices
journal, May 2002


Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index
journal, February 2010


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


Detailed Modeling and Simulation of High-Pressure Fuel Injection Processes in Diesel Engines
journal, January 2012


An Adaptive Metropolis Algorithm
journal, April 2001


The HIFiRE Flight 2 Experiment: An Overview and Status Update
conference, June 2012

  • Jackson, Kevin; Gruber, Mark; Barhorst, Todd
  • 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, 45th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit
  • https://doi.org/10.2514/6.2009-5029

General state space Markov chains and MCMC algorithms
journal, January 2004


A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output
journal, February 1999


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