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Shape optimization of acoustic scattering bodies

机译:声散射体的形状优化

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Shape optimization of acoustic scattering bodies is carried out using genetic algorithms (GA) coupled to a boundary element method for exterior acoustics. The BEM formulation relies on a modified Burton-Miller algorithm to resolve exterior acoustics and to address the uniqueness issue of the representation problem associated with the Helmholtz integral equation at the eigenvalues of the associated interior problem. The particular problem of interest considers an incident wave approaching an axisymmetric shaped body. The objective is to arrive at a geometric configuration that minimizes the acoustic intensity captured by a receiver located at a distance from the scattering body. In particular, the acoustic intensity is required to be minimum as measured proportional to the integral of the product of the potential and its complex conjugate over a volume of space which models the receiver. This is opposed to the more traditional measure of the potential at a single point in space.
机译:声学散射体的形状优化是使用遗传算法(GA)进行的,该遗传算法耦合到外部声学的边界元方法。 BEM公式依赖于改进的Burton-Miller算法来解决外部声学问题,并在相关内部问题的特征值下解决与亥姆霍兹积分方程相关的表示问题的唯一性问题。感兴趣的特定问题考虑了入射波接近轴对称形状的物体。目的是获得一种几何构型,该构型使与散射体相距一定距离的接收器捕获的声强度最小。特别地,要求声学强度是最小的,该强度与在对接收器建模的空间体积上与电势及其复共轭的乘积的积分成比例地测量。这与对空间单个点上的势的更传统的度量相反。

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