Pressure Penetration to Inhomogeneous Compressible Liquid

摘要

A successive approximation method is developed for solving the mixed boundary problems arising at modeling of the perturbations propagation process in ideal inhomogeneous liquid. A two-dimensional problem is considered having the time-dependent part of the boundary, where the external forces are applied. The numerical examples are derived for the liquid being non-uniform in depth with the exponential change of density. The solutions are developed in two approximations with respect to a small parameter related with the inhomogeneity exponent. The solutions are given in the integral form. The asymptotic analysis, developed for estimating the specific features of the pressure and liquid particle velocity distribution near the edges of the loaded area, shows how does the inhomogeneity effects the specified physical characteristics of the wave process.