The traditional Wave Superposition Method (WSM) may be substituted for the Boundary Element Method (BEM) because of its capabilities of rapid computation and greater precision. However,with merely reliance on mesh geometry, it cannot accommodate fast shape changes in the design stage of a consumer's product or machinery, where a great amount of iterations of shape changes are required. In order to overcome these shortcomings of WSM, a new approach to representing geometry was introduced by constructing a uniform lattice in the 3D digital work space. With this method, geometry was represented with boundary nodes or small lattice that can easily adapt to shape changes and therefore is more suitable for shape optimization. The boundary representation and volume elements representation method respectively combined with WSM were validated by computing sound radiation of simple structures. The results show that both methods are entirely capable of handling this calculation, and have higher precision, in addition, the boundary representation method exhibits higher efficiency than volume element representation method.%传统的波叠加法是边界元法的有效替代方法,其具有计算速度快计算精度较高等优点.但是也有复杂模型的建立较困难,以及对模型适应性较差等缺点.为了克服传统波叠加法的缺点,从而使其能够计算较为复杂模型的声辐射,将三维数字空间方法与传统波叠加法结合,因为三维数字空间方法具有建模迅速,对模型适应性很好等优点.分别采用边界表示法和体积表示法建模,且通过简单算例计算表明,采用这两种方法与传统波叠加法结合计算外场声辐射是完全可行的.并且结果的精确度相对较高,采用边界表示法的效率相对较高.
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