Finite element modeling of radiating structures using dipolar damping elements

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Abstract
The finite element modeling of a radiating structure can be performed by surrounding this structure with a limited fluid domain, upon the external boundary of which a nonreflexion condition is prescribed for the acoustic field. This condition can be implemented with the help of damping finite elements which are attached to the external boundary and are designed to absorb the successive components of the pressure field multipolar expansion [Bayliss et al., ICASE Rep. No. 80/1, NASA, Langley (1980)]. This paper describes an axisymmetrical finite element which damps the monopolar and dipolar components of the radiated field. Then, it provides an original extrapolation algorithm to compute farfield quantities (sound pressure level or transmitting voltage response, directivity patterns,...) from the previously obtained nearfield. Finally, it demonstrates the accuracy of the method in two test cases and describes its application to the analysis of a free-flooded ring transducer used in sonar devices.

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