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Optimized compact filtering schemes for computational aeroacoustics
Author(s) -
Zhanxin Liu,
Qibai Huang,
Li Hu,
Jixuan Yuan
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1914
Subject(s) - computational aeroacoustics , spurious relationship , aeroacoustics , computation , mathematics , quadratic equation , algorithm , gaussian , boundary value problem , computer science , mathematical analysis , physics , geometry , telecommunications , statistics , sound pressure , quantum mechanics
Spurious waves are inevitably introduced in the simulation of computational aeroacoustics problems by finite difference schemes. Filters are proposed to damp the spurious waves as soon as they are generated. A family of filtering schemes, both interior and boundary, are optimized in this paper. The transfer functions of the filters are approximated to modified Gaussian functions and sharp spectral cutoffs are obtained. The advanced sequential quadratic programming method is employed to get the approximation. Although all of the optimized filters are stable and perform well in the computation, we find that the optimized fourth‐order filters are sufficient for different kinds of requirements. The improvements of the accuracy and convenient application of the optimized filters are demonstrated when applied to one‐ and two‐dimensional problems. Copyright © 2008 John Wiley & Sons, Ltd.