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Formulation of a numerical process for acoustic impedance sensitivity analysis based on the indirect boundary element method

机译：基于间接边界元法的声阻抗灵敏度分析数值过程的建立

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摘要

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.
机译：本文提出的工作目标是通过间接边界元方法（IBEM）制定，实现和验证用于计算不等阻抗边界条件下的声学灵敏度的算法。对于所有可能的声边界条件，包括速度，压力，不等阻抗以及同时速度和不等阻抗边界条件，都考虑了IBEM积分方程。方程的数值系统是使用变分方法开发的。灵敏度公式是基于相对于不相等的声阻抗边界条件，对由变分法形成的方程组进行分析微分的基础。使用本文开发的配方获得的数值灵敏度结果与分析溶液进行比较，以验证新配方。

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