Nonlinear interaction of a shock wave with an anisotropic entropy disturbance field

K. E. Gorodnichev, E. M. Urvachev, S. E. Kuratov


Abstract: The nonlinear interaction between a shock wave and an anisotropic entropy disturbance field is investigated with second-order corrections to the hydrodynamic variables taken into account. It is demonstrated that nonlinear coupling between acoustic modes leads to the localization of sound perturbations behind the shock front. This effect occurs under conditions where, in the linear approximation, no acoustic attenuation is present. An analytical framework is developed that eliminates secular terms in the description of acoustic–acoustic interactions when second-order effects are included.

Keywords: nonlinear interaction, acoustic waves, shock waves, additional phase method.

 English version: KIAM Preprint, 2025, 063