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中文核心期刊

有限长导管声场预报的一种边界元方法

Boundary element method for sound field prediction of finite duct

  • 摘要: 为了研究介质流动情况下有限长导管中点声源产生的声场,提出了一种以源势密度作为未知数的间接边界元方法。首先将整个求解空间划分为管内和管外两个相互独立的封闭域,然后利用压力和速度在开口处的连续条件和壁面边界条件将内外域的声场方程联立为一个矩阵方程,求解出源势密度后由源势密度计算出任意位置的声场。与Myers的基准数据比较表明本文所得计算结果与之相符。该方法简化了过去声场边界积分方程的形式和数值积分奇性的解决过程,稍加变换便可应用于任意形状导管和复杂声源。

     

    Abstract: An indirect boundary element method for studying the sound field generated by monopole in a finite duct with flow was presented.Here,the region was divided into two single-connected regions bounded by duct and duct end facets.Taking the potential source as unknowns,a unified matrix equation was obtained through the pressure and velocity continuum condition at the duct end facets.Then the sound field,both interior and exterior to the duct,was determined from the potential source.The numerical results showed good agreements with Myer's benchmark data.The method could be easily extended to arbitrary shape of duct and complex source inside the duct.

     

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