Formulation of a numerical process for acoustic impedance sensitivity analysis based on the indirect boundary element method |
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| Affiliation: | 1. Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, China;2. Department of Mechanical Engineering, The University of Hong Kong, Hong Kong Special Administrative Region, China;3. Guangdong Provincial Key Laboratory of Turbulence Research and Applications, Southern University of Science and Technology, Shenzhen 518055, China;4. Laboratory for Aerodynamics and Acoustics, HKU-Zhejiang Institute of Research and Innovation, Hangzhou 311305, China;1. Tianjin Key Laboratory of Soft Soil Characteristics and Engineering Environment, Tianjin Chengjian University, Tianjin 300384, China;2. School of civil engineering and transportation, Hebei University of Technology, Tianjin 300401, China |
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| Abstract: | The objective of the work presented in this paper is the formulation, implementation and validation of an algorithm for computing the acoustic sensitivity with respect to the unequal impedance boundary conditions in an indirect boundary element method (IBEM). The IBEM integral equations are considered for all possible acoustic boundary conditions including velocity, pressure, unequal impedance, and simultaneous velocity and unequal impedance boundary conditions. The numerical system of equations is developed using a variational approach. The sensitivity formulation is based on analytically differentiating the system of equations formed by the variational approach with respect to the unequal acoustic impedance boundary conditions. Numerical sensitivity results obtained using the formulation developed in this paper are compared to analytical solutions in order to validate the new formulation. |
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