嵌入随机多项式的抛物方程不确定声场快速算法

为了得到准确且高效计算起伏海洋介质中随机声场的算法,本文将随机多项式展开嵌入到宽角抛物方程声场计算模型(简称RAM模型)中,发展了一种不确定声场的快速算法.其计算结果比使用嵌入随机多项式的窄角抛物方程准确,计算时间小于作为参考的蒙特卡洛方法.在仿真算例中,随机多项式展开法对声强均值、方差、概率密度的计算准确;在一定的随...

Fast algorithm for stochastic sound filed based on parabolic equation model embedded with polynomial chaos

In order to obtain an accurate and efficient algorithm for calculating statistical characteristics of the stochastic sound field in a random ocean media,we applied the polynomial chaos expansion into the wide-angle split-step parabolic equation model(RAM model)and developed a polynomial intrusive acoustic calculation algorithm.Thus,the calculation results of this algorithm are more accurate than these of narrow-angle parabolic equations embedded with polynomial chaos.And time cost is substantially reduced compared to the benchmark Monte Carlo method.In the simulation cases,the same accuracy with the Monte Carlo method as for calculating the first and second moments of sound intensity is available.While under the same computing conditions,the polynomial chaos expansion method will improve the calculation efficiency by at least 1 order of magnitude when the polynomials have limited arguments and maximal truncated powers.