Abstract
Fully three dimensional prolate spheroidal acoustic infinite elements have been added to a steady state finite-element structural acoustics tool (FESTA), which is based on hierarchic polynomial shape functions. The infinite elements are used as an alternative to the Bayliss–Turkel approximate radiation condition to ensure outward propagation of the scattered and/or radiated acoustic fields surrounding one or more objects. The main advantages of the infinite elements compared to the Bayliss–Turkel condition are the reduction of the distance required between the object(s) and the boundary of the finite element computational domain, and meshes which can be used over a broader frequency band. Furthermore, the infinite element formulation adopted, which is based on the prolate spheroidal version of the Atkinson–Wilcox expansion, is ideal for modeling the scattering and/or radiation from elongated structures of particular interest to the underwater acoustics community. The performance of the tool is assessed by comparison to an axisymmetric thin-shell FE/virtual source code, and to a hierarchic axisymmetric FE code with infinite elements. Furthermore, the tradeoffs between the infinite elements and the prolate spheroidal Bayliss–Turkel conditions are assessed.
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