Fast Low-Storage Method for Evaluating Lighthill's Volume Quadrupoles

An m-multipole particle-condensation method is proposed to spatially condense the volumetric quadrupole sources based on Lighthill’s acoustic analogy that are extracted from computational-fluid-dynamics data. The purpose of the method is to reduce both the amount of data that must be stored during the computational-fluid-dynamics analysis and the number of acoustic sources driving the subsequent acoustic-propagation analysis, while preserving the accuracy of the predicted sound pressure field. The method uses a particle approximation of the quadrupole source distribution and employs a Taylor series expansion of the harmonic Green’s function to spatially condense the underlying acoustic sources and preserve their multipole moments. Low-Mach-number flow around rigid-walled stationary bodies in a medium at rest at infinity is used to demonstrate the m-multipole particle-condensation method. The directivity of the sound pressure field due to the quadrupole sources is presented for the first four harmonics of ...

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