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CAMERA: A method for cost-aware, adaptive, multifidelity, efficient reliability analysis

Journal Article · · Journal of Computational Physics
 [1];  [2];  [3]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Argonne National Laboratory (ANL), Argonne, IL (United States)
  3. Florida State Univ., Tallahassee, FL (United States)

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distributions, and Monte Carlo sampling methods are intractable when expensive high-fidelity simulations have to be queried. Here, we propose a method to use models of multiple fidelities that trade accuracy for computational efficiency. Specifically, we propose the use of multifidelity Gaussian process models to efficiently fuse models at multiple fidelity, thereby offering a cheap surrogate model that emulates the original model at all fidelities. Furthermore, we propose a novel sequential acquisition function based experiment design framework that can automatically select samples from appropriate fidelity models to make predictions about quantities of interest at the highest fidelity. We use our proposed approach in an importance sampling setting and demonstrate our method on the failure level set and probability estimation on synthetic test functions and two real-world applications, namely, the reliability analysis of a gas turbine engine blade using a finite element method and a transonic aerodynamic wing test case using Reynolds-averaged Navier-Stokes equations. We show that our method predicts the failure boundary and probability more accurately and at a fraction of the computational cost compared with using just a single expensive high-fidelity model. Finally, we show that our sequential approach is guaranteed to asymptotically converge to the true failure boundary with high probability.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
2433825
Alternate ID(s):
OSTI ID: 1895169
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 472; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (26)

An informational approach to the global optimization of expensive-to-evaluate functions journal September 2008
Sequential design of computer experiments for the estimation of a probability of failure journal April 2011
Reliability analysis—a review and some perspectives journal October 2001
Enhanced data efficiency using deep neural networks and Gaussian processes for aerodynamic design optimization journal April 2021
Multifidelity importance sampling journal March 2016
Evaluation of failure probability via surrogate models journal November 2010
An efficient surrogate-based method for computing rare failure probability journal October 2011
Gaussian process surrogates for failure detection: A Bayesian experimental design approach journal May 2016
Multifidelity probability estimation via fusion of estimators journal September 2019
Metamodel-based importance sampling for structural reliability analysis journal July 2013
Efficient Global Optimization of Expensive Black-Box Functions journal January 1998
Machine learning for nonintrusive model order reduction of the parametric inviscid transonic flow past an airfoil journal April 2020
Replication or Exploration? Sequential Design for Stochastic Simulation Experiments journal September 2018
Taking the Human Out of the Loop: A Review of Bayesian Optimization journal January 2016
Bayesian calibration of computer models journal August 2001
Maximum Likelihood from Incomplete Data Via the EM Algorithm journal September 1977
A New Method of Locating the Maximum Point of an Arbitrary Multipeak Curve in the Presence of Noise journal March 1964
Information-Based Objective Functions for Active Data Selection journal July 1992
Sequential Experiment Design for Contour Estimation From Complex Computer Codes journal November 2008
Posterior consistency of Gaussian process prior for nonparametric binary regression journal October 2006
Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions journal October 2008
Empirical Assessment of Deep Gaussian Process Surrogate Models for Engineering Problems journal January 2021
SU2: An Open-Source Suite for Multiphysics Simulation and Design journal March 2016
Koopman-Based Approach to Nonintrusive Projection-Based Reduced-Order Modeling with Black-Box High-Fidelity Models journal October 2018
Koopman-Based Approach to Nonintrusive Reduced Order Modeling: Application to Aerodynamic Shape Optimization and Uncertainty Propagation journal March 2020
Replication or Exploration? Sequential Design for Stochastic Simulation Experiments dataset January 2018

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