Finite-element analysis of the nonlinear propagation of high-intensity acoustic waves

This paper deals with a three-dimensional numerical procedure based on the finite-element method for the modeling of finite-amplitude progressive acoustic waves. The method can predict the nonlinear propagation of acoustic fields produced by sources of arbitrary geometry. Based upon a perturbation method, a second-order analytical study is developed and the numerical procedure is formulated. Basic equations are derived and their ranges of validity established. The analytical validation of the numerical development is presented. An experimental validation is also carried out for the nonlinear acoustic field radiated by a stepped-plate transducer.

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