一种计算内外域声场的简单源方法  

Simple source method for sound field prediction in coupled interior/exterior domain

作　　者：杨迎春[1] 周其斗[1] 卢东庆[2] 

机构地区：[1]海军工程大学船舶与动力学院 [2]91878部队

出　　处：《海军工程大学学报》2011年第3期67-71,共5页Journal of Naval University of Engineering

基　　金：国家部委基金资助项目(51310050101)

摘　　要：使用赫尔霍兹积分方程计算声压的一个缺陷是积分变量过多导致的计算量过大。"简单源"法将内域和外域的赫尔霍兹积分方程相互耦合,消去了多余积分变量。然而经典简单源法只能用于静止介质。为此,利用格林函数、势理论和运动介质波动方程,得到了求均匀流动介质条件下声压辐射的"简单源"边界积分式。与利用变换域中的赫尔霍兹积分方程求运动介质条件下声压的方法相比,新方法边界积分方程更加简洁和易于数值求解。基于新方法推导了有限长导管声场的预报模型。通过与标准问题的比较验证了新方法的有效性。One drawback of using the Helmholtz integral equation（HIE） to calculate sound pressure is that too much integral variable leads to an increase in the amount of calculation.So,the simple-source method can be used to overcome it by coupling the interior HIE with exterior HIE.However,the classic simple-source method can only be used in static medium.Using Green′s theorem and potential theory,a new boundary element method is developed based on the wave equations for uniform mean flow.Compared with HIE in transformed domain,the new method boundary integral equation is much more concise and easier for numerical implementation.With this method,a numerical model was established for simulating the sound field of arbitrary shape duct with finite length.The simulated result shows that the new method is useful and effective.

关 键 词：导管声场 赫尔霍兹积分方程 “简单源”法 

分 类 号：TB532[理学—物理]