Abstract: Calibration of phenomenological parameters of Jones-Wilkins-Lee(JWL)equation of state based on experimental data and modeling and simulation result plays a vital role in comprehension of detonation-driven expansion process and evaluating the work performance of detonation product. Time varying response surface methodology(RSM)can establish a simpler functional relation between prominent parameters and system response quantity(SRQ). It provides a rapid and high-accurate computational method of describing the dynamical behavior and calibrating parameters. Firstly, Latin hypercube sampling(LHS)technique is used to sample the uncertainty in the uncertain parameters of JWL equation of state in the detonation production, and then effective data is selected and divided into two groups. High-resolution simulation is implemented based on group I, and the radial position and radial velocity is obtained through full intellectual software—CFD2D. Time varying RSM between uncertain JWL parameters and SRQ is constructed through output of the high fidelity simulation. Group II is used to evaluate the accuracy of the time varying RSM. Then Residual error between the simulation results of surrogate model and experiment data is constructed. Furthermore, the minimum residual error is searched among all the residual error and the corresponding parameters are obtained as the optimum parameters. The result shows that output of SRQ coincides with and experimental data perfectly, when these optimum parameters are substituted into the high fidelity computational methods. That means, the parameters are calibrated and model validated. The result will provide guidance for weapon design and munitions assessment.

Key words: parameters calibration, Latin hypercube sampling, time varying response surface methodology, cylinder test, JWL equation of state