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

[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.

[发布机构] Dukhov Research Institute of Automatics, Sushchevskaya st. 22, Moscow; 127055, Russia^1;National Research Nuclear University MEPhI, Kashirskoe Shosse 31, Moscow; 115409, Russia^2

[效力级别] 数学

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