Journal article
Evaluation of multifidelity surrogate modeling techniques to construct closure laws for drag in shock–particle interactions
Journal of computational physics, Vol.371, pp.434-451
10/15/2018
DOI: 10.1016/j.jcp.2018.05.039
Abstract
Meta- (or surrogate-) models constructed from meso-scale simulations can be used in place of empirical correlations to close macro-scale equations. In shocked particulate flows, surrogate models for drag are constructed as functions of shock Mach number (Ma), particle volume fraction (ϕ), Reynolds number (Re), etc. The computational cost of the high-fidelity meso-scale simulations is a challenge in construction of surrogates in such hierarchical multi-scale frameworks. Here multifidelity surrogate-modeling techniques are evaluated as inexpensive alternatives to high-fidelity surrogate models for obtaining closure laws for drag in shock–particle interactions. Preliminary surrogates for drag as a function of Ma and ϕ are constructed from ensembles of low-fidelity (coarse grid) mesoscale computations. The low-fidelity surrogates are subsequently corrected using only a few (Nhf) high-fidelity computations to obtain multifidelity surrogate models. The paper evaluates three different methods for correcting an initial low-fidelity surrogate; Space Mapping (SM), Radial Basis Functions (RBF) and Modified Bayesian Kriging (MBKG). Of these methods, MBKG is found to provide the best multi-fidelity surrogate model, simultaneously minimizing the computational cost and error in the constructed surrogate.
•Multifidelity methods can be used for bridging scales in multiscale modeling.•The computational cost of building surrogates is reduced by orders of magnitude.•The surrogate is within 8% accuracy of high-fidelity surrogates, but is cheaper.•The method is useful for higher dimensional surrogates/expensive mesoscale simulations.•The method is illustrated for surrogates for drag in shock–particle interactions.
Details
- Title: Subtitle
- Evaluation of multifidelity surrogate modeling techniques to construct closure laws for drag in shock–particle interactions
- Creators
- Oishik Sen - Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States of AmericaNicholas J Gaul - RAMDO Solutions, LLC, Iowa City, IA 52240, United States of AmericaK.K Choi - Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States of AmericaGustaaf Jacobs - Aerospace Engineering, San Diego State University, San Diego, CA 92115, United States of AmericaH.S Udaykumar - Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States of America
- Resource Type
- Journal article
- Publication Details
- Journal of computational physics, Vol.371, pp.434-451
- DOI
- 10.1016/j.jcp.2018.05.039
- ISSN
- 0021-9991
- eISSN
- 1090-2716
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/100000181, name: Air Force Office of Scientific Research, award: FA9550-12-1-0115; DOI: 10.13039/100006602, name: Air Force Research Laboratory, award: FA9550-12-1-0115
- Language
- English
- Date published
- 10/15/2018
- Academic Unit
- IIHR--Hydroscience and Engineering; Injury Prevention Research Center; Mechanical Engineering
- Record Identifier
- 9984121961402771
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