Abstract
This paper presents a topology optimization method for minimizing the scattering of acoustic waves in an acoustic cloaking problem, based on a level set boundary expression and the Finite Element Method. We examine the dependence of two obtained acoustic cloaking designs on the frequency of the impinging sound waves. First, the topology optimization method using a level set model incorporating a fictitious interface energy for regularizing the topology optimization is discussed. Next, the optimal design problem for the acoustic cloaking is formulated. The constructed optimization algorithm uses the Finite Element Method for solving the wave propagation problem and the adjoint variable method for updating the level set function. The proposed method is applied to an enclosing cloaking problem and two numerical examples are provided, using 3000 Hz and 2500 Hz incident waves.
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