摘要
为了更精确有效地研究三维情况水下声传播透射问题,给出了透射问题模型,提出了透射问题的表达定理,该表达定理将透射问题的解表示为只包含单层势和其法向导数,有效地避免了双层势表示的高阶或超奇异性。为了提高计算效率,对格林函数进行了8节点线性插值,利用边界元方法求解,最后通过数值实验验证了所提出的边界元法的精确性。结果表明应用表达定理能有效精确地求解三维水下声传播投射问题。
In order to effectively improve the accuracy of sound propagation transmission in 3D water,the model of the transmission problem and the representation theorem are given,the representation theorem is expressed as a single layer potential and its normal derivative,which can effectively avoid the high order or hyper-singularity.To improve the computational efficiency,the Green function is interpolated by 8-node shape function,then the integral equation is solved by boundary integral equation.Finally,the numerical experiments verify the accuracy of the boundary element method.The result shows that the representation theorem can be used effectively to solve the transmission of sound propagation in 3D water.
出处
《中国科技论文》
北大核心
2017年第17期1988-1992,共5页
China Sciencepaper
基金
湖北省自然科学基金资助项目(2014CFB865)
