Mathematical modeling and noise-proof estimation of~shock~wave pulse parameters based

V. E. Zoteev ; S. Yu. Ganigin ; D. A. Demoretskii ; M. V. Nenashev ; A. V. Gubinsky

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 25 (2021) no. 1, pp. 127-162.

Résumé

The article deals with the construction of a mathematical model of the underwater shock wave pulse based on the results of the experiment and numerical and analytical scientific research. The results of the development and comparative analysis of various numerical methods for nonlinear estimation of the parameters of this model are presented. A numerical method is proposed for estimating the pulse energy of a shock wave based on the experimental results in the form of an overpressure waveform both over an infinite period of time and at a given pulse duration. The results of testing the developed numerical methods for mathematical modeling of the underwater shock wave pulse when processing the results of the experiment at the explosion of model charge are presented. The reliability and efficiency of the computational algorithms and numerical methods of nonlinear estimation presented in this paper is confirmed by the results of numerical and analytical studies and mathematical models constructed on the basis of experimental data.

Détail

Keywords: underwater shock wave pulse, mathematical model, nonlinear regression analysis, generalized regression model, root-mean-square estimation, statistical processing of experimental results.

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