摘要
针对Helmholtz表面积分方程中存在的奇异性问题,理论推导了水中目标在平面波入射时散射声场的积分解,给出了采用边界元方法数值计算该积分解的公式,提出用等价面元近似方法来解决其一阶和二阶奇异性问题。对刚性球的散射回声计算结果表明,该方法在研究水下目标散射特性中,可以在较宽的频率范围内,有效地解决奇异性问题,且具有很高的计算精度。
For solving singularities in Helmholtz surface integral function, integral solution for scattered field of submerged target with the plane wave incidence was derived from Helmholtz surface integral equation, and then the formula of integral solution was given through numerical calculation by Boundary Element Method （BEM）. Method of equivalent facet approximation was employed to solve the first order and the second order singularities. The calculated results of scattered echo from the rigid spheroid indicate that singularities in Helmholtz surface integral equation are solved with the proposed method and that numerical solution can be provided with high accuracy at a wider-frequency brand for scattered echo characteristics of submerged objects.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2009年第5期1286-1288,共3页
Journal of System Simulation
基金
国家重点基础研究发展规划资助项目(613660202)
国家部委基金资助项目(4010501010103)
