An efficient tool for multi-frequency analysis in acoustic scattering or radiation by boundary element method

摘要

In this article, a new boundary element algorithm in acoustic scattering or radiation is proposed. Based upon a linear frequency interpolation, this original method allows a real practical, fast and easy use of the boundary element method for a multi-frequency analysis. This technique is original for two reasons. The first one is the automation of its utilization using the interpolation between the two bounding frequencies 0 Hz and the top-frequency of the spectrum given by the "lambda/4 criterion" associated with the quadratic isoparametric discretization for any geometry. Furthermore; in the case of its application to axisymmetrical problems, the circular surface elements of the mesh are automatically split through decomposition points. This allows a saving of central processor unit time. Moreover, this profit increases very quickly with the size of the mesh and the number of calculation frequencies. These motives make this boundary element linear interpolation method very attractive. [References: 23]