NUMERICAL SIMULATIONS OF THE EFFECT OF TIME-DEPENDENT RANDOM MASS DENSITY FIELD ON FREQUENCIES OF SOUND WAVES

Abstract

Numerical simulations of the effect of random mass density field on frequencies of sound waves are considered for driven and impulsive sound waves which are described by one-dimensional hydrodynamic equations, with the ponderomotive force which depends stochastically both on space and time. The numerical results reveal frequency increase for short waves and both wave damping and amplification for the overall range of wavenumbers. Moreover, a space- and time-dependent random field leads to a generation of a wide frequency spectrum which contains both retarded and speeded up waves.