Transient scattering by arbitrary axisymmetric surfaces

作者：H. C. Neilson, Yihao Lu, Y. F. Wang · 发表于：The Journal of the Acoustical Society of America · 年份：1978 · DOI：10.1121/1.381910 · 被引用次数：9 · 研究领域：Fluid Dynamics Simulations and Interactions、Underwater Acoustics Research、Geophysical Methods and Applications

A numerical method using Kirchhoff’s retarded potential integral equation to determine the time-dependent pressure distribution on the surface of an arbitrary smooth, convex, and axisymmetric rigid scattering body due to the impact of a plane acoustic wave having discontinuous wave front incident from any direction is developed and presented. This numerical technique is developed for general purposes, and it is applicable not only to single structures of same shape but also to composite structures of different shapes such as circular cylindrical, spherical, conical, and toroidal segments as well as flat plate. Typical numerical solutions for a hemisphere-capped cylinder impinged upon by a unit-step-pressure pulse from three different directions, i.e., axial incidence, side-on incidence, or oblique incidence of 30° off the longitudinal axis of the cylindrical section are presented. Numerical solutions of transient scattering of acoustic waves of normal incidence by a sphere are also given, and results agree very well with the analytical solutions obtained by other investigators.