A quadrupole correction model to suppress spurious sound with moving permeable integral surfaces
Ffowcs Williams-Hawkings(FW-H)equation is the extension of the Lighthill's acoustic analogy equation for sound prediction with moving boundaries.However,the spurious sound often arises from vortex structures crossing through permeable FW-H surfaces.This work aims to approximate the contribution of the vortex structures to far-field sound using the Lighthill stress tensor flux and subtract the resulting spurious sound.Based on the frequency-domain Lighthill stress tensor quadrupole correction model,a quadrupole correction model is proposed to account for the effect of a moving integral surface on the spurious sound.Based on the frozen flow assumption and far-field approximation of the FW-H equation's Green's function,the proposed model incorporates the FW-H surface's velocity into the integrand of the quadru-pole correction model by solving an algebraic equation of the quadrupole volume integral term.The proposed model is validated by the far-field sound prediction of flows over a circular cylinder and a convecting vortex.
acoustic analogyquadrupole sourcesspurious soundmoving integral surfacespermeable integral surfaces
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