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Title: An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes

Abstract

For many simulation models, it can be prohibitively expensive or physically infeasible to obtain a complete set of experimental data to calibrate model parameters. In such cases, one can alternatively employ validated higher-fidelity codes to generate simulated data, which can be used to calibrate the lower-fidelity code. In this paper, we employ an information-theoretic framework to determine the reduction in parameter uncertainty that is obtained by evaluating the high-fidelity code at a specific set of design conditions. These conditions are chosen sequentially, based on the amount of information that they contribute to the low-fidelity model parameters. The goal is to employ Bayesian experimental design techniques to minimize the number of high-fidelity code evaluations required to accurately calibrate the low-fidelity model. We illustrate the performance of this framework using heat and diffusion examples, a 1-D kinetic neutron diffusion equation, and a particle transport model, and include initial results from the integration of the high-fidelity thermal-hydraulics code Hydra-TH with a low-fidelity exponential model for the friction correlation factor.

Authors:
 [1];  [1];  [2];  [3]
  1. Department of Mathematics, North Carolina State University, Raleigh, NC 27695 (United States)
  2. Los Alamos National Laboratory, Los Alamos, NM 87545 (United States)
  3. Sandia National Laboratories, Albuquerque, NM 87185 (United States)
Publication Date:
OSTI Identifier:
22622202
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 324; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; CALIBRATION; COMPUTERIZED SIMULATION; CORRELATIONS; DIFFUSION; EVALUATION; FRICTION; HEAT; NEUTRON DIFFUSION EQUATION; NEUTRONS; PERFORMANCE; REDUCTION; THERMAL HYDRAULICS; TRANSPORT THEORY

Citation Formats

Lewis, Allison, Smith, Ralph, Williams, Brian, and Figueroa, Victor. An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes. United States: N. p., 2016. Web. doi:10.1016/J.JCP.2016.08.001.
Lewis, Allison, Smith, Ralph, Williams, Brian, & Figueroa, Victor. An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes. United States. https://doi.org/10.1016/J.JCP.2016.08.001
Lewis, Allison, Smith, Ralph, Williams, Brian, and Figueroa, Victor. 2016. "An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes". United States. https://doi.org/10.1016/J.JCP.2016.08.001.
@article{osti_22622202,
title = {An information theoretic approach to use high-fidelity codes to calibrate low-fidelity codes},
author = {Lewis, Allison and Smith, Ralph and Williams, Brian and Figueroa, Victor},
abstractNote = {For many simulation models, it can be prohibitively expensive or physically infeasible to obtain a complete set of experimental data to calibrate model parameters. In such cases, one can alternatively employ validated higher-fidelity codes to generate simulated data, which can be used to calibrate the lower-fidelity code. In this paper, we employ an information-theoretic framework to determine the reduction in parameter uncertainty that is obtained by evaluating the high-fidelity code at a specific set of design conditions. These conditions are chosen sequentially, based on the amount of information that they contribute to the low-fidelity model parameters. The goal is to employ Bayesian experimental design techniques to minimize the number of high-fidelity code evaluations required to accurately calibrate the low-fidelity model. We illustrate the performance of this framework using heat and diffusion examples, a 1-D kinetic neutron diffusion equation, and a particle transport model, and include initial results from the integration of the high-fidelity thermal-hydraulics code Hydra-TH with a low-fidelity exponential model for the friction correlation factor.},
doi = {10.1016/J.JCP.2016.08.001},
url = {https://www.osti.gov/biblio/22622202}, journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 324,
place = {United States},
year = {Tue Nov 01 00:00:00 EDT 2016},
month = {Tue Nov 01 00:00:00 EDT 2016}
}