Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering
复制标题
声散射传输问题的广义阻抗边界条件逼近
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
H. Barucq
中科院分区：
文献类型：
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作者：
X. Antoine;H. Barucq
本文讨论了一种近似方法的发展，用于计算声场的三维可穿透物体浸入不可压缩流体中的散射的一些结果。该方法的基本思想在于使用表面上的微分算子，局部再现内部传播现象。这种方法导致积分方程公式与标准积分公式耦合的传输和散射波相比，降低了计算成本。理论方面的问题和数值实验的报告，以分析该方法的效率和精确的有效域。
This paper addresses some results on the development of an approximate method for computing the acoustic field scattered by a three-dimensional penetrable object immersed into an incompressible fluid. The basic idea of the method consists in using on-surface differential operators that locally reproduce the interior propagation phenomenon. This approach leads to integral equation formulations with a reduced computational cost compared to standard integral formulations coupling both the transmitted and scattered waves. Theoretical aspects of the problem and numerical experiments are reported to analyze the efficiency of the method and precise its validity domain.