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

Journal Article · · Journal of Computational Physics
 [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)

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.

OSTI ID:
22622202
Journal Information:
Journal of Computational Physics, Vol. 324; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
Country of Publication:
United States
Language:
English