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:
-
- Department of Mathematics, North Carolina State University, Raleigh, NC 27695 (United States)
- Los Alamos National Laboratory, Los Alamos, NM 87545 (United States)
- 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}
}