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

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

Journal Article · · AIAA Journal
DOI:https://doi.org/10.2514/1.J056278· OSTI ID:1429819
 [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)

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.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE; Defense Advanced Research Projects Agency (DARPA)
DOE Contract Number:
AC04-94AL85000
OSTI ID:
1429819
Report Number(s):
SAND--2017-8103J; 655797
Journal Information:
AIAA Journal, Journal Name: AIAA Journal Journal Issue: 3 Vol. 56; ISSN 0001-1452
Publisher:
AIAA
Country of Publication:
United States
Language:
English

References (46)

Sparse Approximate Solutions to Linear Systems journal April 1995
Theorems and examples on high dimensional model representation journal February 2003
Dimension?Adaptive Tensor?Product Quadrature journal August 2003
A weighted -minimization approach for sparse polynomial chaos expansions journal June 2014
An Adaptive Metropolis Algorithm journal April 2001
General state space Markov chains and MCMC algorithms journal January 2004
On the Statistical Calibration of Physical Models: STATISTICAL CALIBRATION OF PHYSICAL MODELS journal February 2015
Analysis of high-pressure Diesel fuel injection processes using LES with real-fluid thermodynamics and transport journal January 2015
Hypersonic International Flight Research and Experimentation (HIFiRE) Fundamental Science and Technology Development Strategy conference June 2012
Idealized gas turbine combustor for performance research and validation of large eddy simulations journal March 2007
The Elements of Statistical Learning book January 2009
Effects of Real-Fluid Thermodynamics on High-Pressure Fuel Injection Processes journal April 2014
Bayesian calibration of computer models journal August 2001
Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics book January 2010
Large eddy simulation of turbulent combustion processes in propulsion and power systems journal January 2006
The HIFiRE Flight 2 Experiment: An Overview and Status Update
  • 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
conference June 2012
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002
Validating predictions of unobserved quantities journal January 2015
On the convergence of generalized polynomial chaos expansions journal October 2011
Toward Validation of Large Eddy Simulation for Turbulent Combustion journal March 2006
A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output journal February 1999
Stochastic Finite Elements: A Spectral Approach book January 1991
Sparse Legendre expansions via ℓ1-minimization journal May 2012
For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution journal January 2006
Hypersonic International Flight Research and Experimentation Technology Development and Flight Certification Strategy conference June 2012
Detailed Modeling and Simulation of High-Pressure Fuel Injection Processes in Diesel Engines journal January 2012
Uncertainty quantification and error estimation in scramjet simulation
  • 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
conference June 2012
Dimensionality Reduction for Complex Models via Bayesian Compressive Sensing journal January 2014
Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet journal December 2015
Analysis of variance designs for model output journal March 1999
Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation
  • 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
conference June 2012
Hypersonics into the 21st century: A perspective on AFOSR-sponsored research in aerothermodynamics journal January 2015
Large Eddy Simulation of the HIFiRE Direct Connect Rig Scramjet Combustor conference January 2017
Large eddy simulation of swirling particle-laden flow in a model axisymmetric combustor journal January 2007
Combustor Operability and Performance Verification for HIFiRE Flight 2 conference June 2012
HIFiRE Flight 2 Project Overview and Status Update 2011
  • 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
conference June 2012
Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems journal December 2007
Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index journal February 2010
A multifidelity multilevel Monte Carlo method for uncertainty propagation in aerospace applications conference January 2017
Making best use of model evaluations to compute sensitivity indices journal May 2002
Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies journal January 2015
Compressed sensing journal April 2006
Multilevel Monte Carlo Path Simulation journal June 2008
Enhancing ℓ 1 -minimization estimates of polynomial chaos expansions using basis selection journal May 2015
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information journal February 2006
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics journal January 2009