THE WAVE SUPERPOSITION METHOD AS A ROBUST TECHNIQUE FOR COMPUTING ACOUSTIC FIELDS
THE WAVE SUPERPOSITION METHOD AS A ROBUST TECHNIQUE FOR COMPUTING ACOUSTIC FIELDS
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DOI：
10.1121/1.404042
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发表时间：
1992-08-01
影响因子：
2.4
通讯作者：
MATHEWS, IC
中科院分区：
文献类型：
--
作者：
JEANS, R;MATHEWS, IC
波叠加法最近被提倡[Koopmann等人，“一种基于波叠加原理计算声场的方法，”J. Acoust。Soc. Am. 86，2433-2438（1989）1，作为用于计算由任意形状的辐射器产生的声场的可靠且准确的技术;本研究深入地检查了该方法的鲁棒性和数值稳定性。该方法的实施需要在辐射体内部的表面上放置有限数量的点源。这些点源的大小可以根据辐射器表面上的规定速度分布来评估。一旦计算出，这些点源的大小允许评估散热器外部的压力分布。该方法的鲁棒性的第一个改进是使用的混合组合的偶极子和偶极子源，这种修改允许在某些频率的方法的非唯一性的固有问题被克服。离散点和连续源分布用于评估的方法在各种测试情况下，涉及球形和长椭球体的几何形状。使用这种方法的主要动机是避免奇异积分固有的是正常的边界元法的应用，然而，该方法是成功的，所得到的矩阵近似需要良好的条件。发现这种数值调节不仅依赖于边界和源节点的位置，而且依赖于这些源在收缩表面上的插值或位置。
The wave superposition method has recently been advocated [Koopmann et al., "A method for computing acoustic fields based on the principle of wave superposition," J. Acoust. Soc. Am. 86, 2433-2438 (1989) 1, as a reliable and accurate technique for computing the acoustic fields generated by arbitrary-shaped radiators; this study examines in depth the robustness and numerical stability of the method. The implementation of the method requires the placement of a finite number of point sources on a surface interior to the body of the radiator. The magnitude of these point sources can be evaluated in terms of the prescribed velocity distribution on the surface of the radiator. Once calculated, the magnitude of these point sources allow the pressure distribution exterior to the radiator to be evaluated. The first improvement made to the robustness of the method is the use of a hybrid combination of monopole and dipole sources; this modification allows the inherent problem of nonuniqueness of the method at certain frequencies to be overcome. Both discrete point and continuous source distributions are used to evaluate the method on a variety of test cases involving both spherical and prolate spheroid geometries. The prime motivation for using such a method is the avoidance of the singular integration inherent is the application of the normal boundary element methods, however, for the method to be successful, the resulting matrix approximations need to be well-conditioned. This numerical conditioning was found to be dependent not only on the position of the boundary and the source nodal points but also on the interpolation or the location of these sources on the retracted surface.