Design method for an acoustic cloak in flows by topology optimization

In this paper, a design method for an acoustic cloak in the presence of background mean flows is proposed by using topology optimization, which enables the associated fabrication of the cloaking design. The density-based topology optimization method is used to allocate the designated materials, thus providing the structure of the cloak. The optimization problem is efficiently solved with the gradient-based globally convergent method of moving asymptotes, which utilizes the derivative information from the finite element simulation studies of the linearized acoustic potential equation. This paper introduces the whole design method first then numerically demonstrates the corresponding performance, which shall constitute the main contribution of the present work.

[1]  R. J. Astley,et al.  Computational aero-acoustics for fan duct propagation and radiation. Current status and application to turbofan liner optimisation , 2011 .

[2]  S. Cummer,et al.  One path to acoustic cloaking , 2007 .

[3]  Krister Svanberg,et al.  A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations , 2002, SIAM J. Optim..

[4]  M. Bendsøe Optimal shape design as a material distribution problem , 1989 .

[5]  U. Iemma,et al.  Convective correction of metafluid devices based on Taylor transformation , 2019, Journal of Sound and Vibration.

[6]  Yi Fang,et al.  Acoustic porous metasurface for excellent sound absorption based on wave manipulation , 2018, Journal of Sound and Vibration.

[7]  J. Willis,et al.  On cloaking for elasticity and physical equations with a transformation invariant form , 2006 .

[8]  F. Xin,et al.  Optomechanical soft metamaterials , 2017 .

[9]  Zhen-Hua Wan,et al.  Instability waves and low-frequency noise radiation in the subsonic chevron jet , 2018 .

[10]  S. A. R. Horsley,et al.  Illusions and Cloaks for Surface Waves , 2014, Scientific Reports.

[11]  David R. Smith,et al.  Scattering theory derivation of a 3D acoustic cloaking shell. , 2008, Physical review letters.

[12]  Huanyang Chen,et al.  Acoustic cloaking in three dimensions using acoustic metamaterials , 2007 .

[13]  Xun Huang,et al.  Acoustic invisibility in turbulent fluids by optimised cloaking , 2014, Journal of Fluid Mechanics.

[14]  Xun Huang,et al.  High-order schemes for predicting computational aeroacoustic propagation with adaptive mesh refinement , 2013 .

[15]  Xun Huang,et al.  Analysis of scattering from an acoustic cloak in a moving fluid. , 2014, The Journal of the Acoustical Society of America.

[16]  S. Guenneau,et al.  Broadband cylindrical acoustic cloak for linear surface waves in a fluid. , 2008, Physical review letters.

[17]  J. Sánchez-Dehesa,et al.  Acoustic cloak based on Bézier scatterers , 2018, Scientific Reports.

[18]  V. M. García-Chocano,et al.  Three-dimensional axisymmetric cloak based on the cancellation of acoustic scattering from a sphere. , 2013, Physical review letters.

[19]  G. Hu,et al.  Transformation method and wave control , 2010 .

[20]  Xin Zhang,et al.  On modeling the sound propagation through a lined duct with a modified Ingard-Myers boundary condition , 2018, Journal of Sound and Vibration.

[21]  Xin Zhang Aircraft noise and its nearfield propagation computations , 2012 .

[22]  M. Wegener,et al.  An elasto-mechanical unfeelability cloak made of pentamode metamaterials , 2014, Nature Communications.

[23]  Mohamed Farhat,et al.  Cloaking bending waves propagating in thin elastic plates , 2009 .

[24]  R. C. Mitchell-Thomas,et al.  Perfect surface wave cloaks. , 2013, Physical review letters.

[25]  Chunguang Xia,et al.  Broadband acoustic cloak for ultrasound waves. , 2010, Physical review letters.

[26]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[27]  C. García-Meca,et al.  Analogue Transformations in Physics and their Application to Acoustics , 2013, Scientific reports.

[28]  Andrea Alù,et al.  Cloaking of an acoustic sensor using scattering cancellation , 2014 .