Nonlinear Interaction of a Shock Wave with an Anisotropic Entropy Perturbation Field

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Gorodnichev, K.E.^1 ; Kuratov, S.E.^1 ; Gorodnichev, E.E.^2

Dukhov Research Institute of Automatics, Sushchevskaya st. 22, Moscow

127055, Russia^1

National Research Nuclear University MEPhI, Kashirskoe Shosse 31, Moscow

115409, Russia^2

关键词: Acoustic perturbations;    Density perturbation;    Linear approximations;    Nonlinear interactions;    Numerical calculation;    Second-order correction;    Shock fronts;    Sound attenuation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012041/pdf
DOI  :  10.1088/1742-6596/788/1/012041

来源: IOP

【 摘 要 】

The problem of the interaction of a shock wave with an anisotropic entropy perturbation field has been solved including second-order corrections to hydrodynamic quantities. It has been shown that nonlinear interactions between acoustic waves result in the localization of acoustic perturbations behind the shock front. This effect is observed when sound attenuation is absent in the linear approximation. The problem of the propagation of the shock wave in an incident sample, where the spatially anisotropic density perturbation field initially exists, has been numerically solved in application to the collision of two plates. Numerical calculations confirm the results of the theoretical analysis.