SUMMARY In low Mach number aeroacoustics, the known disparity of length scales makes it possible to apply well‐suited simulation models using different meshes for flow and acoustics. The workflow of these hybrid methodologies include performing an unsteady flow simulation, computing the acoustic sources, and simulating the acoustic field. Therefore, hybrid methods seek for robust and flexible procedures, providing a conservative mesh to mesh interpolation of the sources while ensuring high computational efficiency. We propose a highly specialized radial basis function interpolation for the challenges during hybrid simulations. First, the computationally efficient local radial basis function interpolation in conjunction with a connectivity‐based neighbor search technique is presented. Second, we discuss the computation of spatial derivatives based on radial basis functions. These derivatives are computed in a local‐global approach, using a Gaussian kernel on local point stencils. Third, radial basis function interpolation and derivatives are used to compute complex aeroacoustic source terms. These ingredients are necessary to provide flexible source term calculations that robustly connect flow and acoustics. Finally, the capabilities of the presented approach are shown in a numerical experiment with a co‐rotating vortex pair.

中文翻译：

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基于径向基函数的气动声源项计算

总结 在低马赫数气动声学中，已知的长度尺度差异使得使用不同网格的流动和声学应用非常合适的仿真模型成为可能。这些混合方法的工作流程包括执行非定常流动模拟、计算声源和模拟声场。因此，混合方法寻求稳健和灵活的程序，在确保高计算效率的同时，为源的网格插值提供保守的网格。我们针对混合模拟过程中的挑战提出了高度专业化的径向基函数插值。首先，提出了计算效率高的局部径向基函数插值以及基于连通性的邻居搜索技术。第二，我们讨论了基于径向基函数的空间导数的计算。这些导数是在局部全局方法中计算的，在局部点模板上使用高斯核。第三，径向基函数插值和导数用于计算复杂的气动声源项。这些成分是提供灵活的源项计算所必需的，这些计算将流动和声学牢固地连接起来。最后，所提出方法的能力在具有同向旋转涡对的数值实验中得到了展示。这些成分是提供灵活的源项计算所必需的，这些计算将流动和声学牢固地连接起来。最后，所提出方法的能力在具有同向旋转涡对的数值实验中得到了展示。这些成分是提供灵活的源项计算所必需的，这些计算将流动和声学牢固地连接起来。最后，所提出方法的能力在具有同向旋转涡对的数值实验中得到了展示。