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Calibration of reactive burn and Jones-Wilkins-Lee parameters for simulations of a detonation-driven flow experiment with uncertainty quantification

Joshua Garno, Frederick Ouellet, Sangjune Bae, Thomas L. Jackson, Nam-Ho Kim, Raphael Haftka, Kyle T. Hughes, and S. Balachandar

  • Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida 32611, USA

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Phys. Rev. Fluids 5, 123201 – Published 14 December, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.123201

Abstract

Uncertainties in the explosive-specific parameters of the Jones-Wilkins-Lee (JWL) equation of state (EOS) are carefully considered in hydrodynamic simulations of an explosive experiment to minimize the error in the flow prediction. Experimental data of the leading shock position in the transverse direction over time serves as the prediction metric for quantifying simulation prediction error. The uncertainty quantification technique, global sensitivity analysis, is utilized to determine the JWL parameters to which the transverse shock propagation is most sensitive. A polynomial response surface (PRS) is constructed in the space of the most influential JWL parameters, and the point of minimum error between the experimental data and the PRS yields calibrated JWL parameters for the experimental flow. The simulation results following the parameter calibration show good agreement with the experimental data. It was found that two significant parameters, the heat release per unit mass of reactant Q and JWL model exponent R1 are strongly related, which makes it difficult to identify accurate values.

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Phys. Rev. Fluids 5, 123201– Published 14 December, 2020
  • Received 6 June 2020
  • Accepted 16 November 2020
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