19th AIAA/CEAS Aeroacoustics Conference 2013
DOI: 10.2514/6.2013-2096
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Validation of a Model for Open Rotor Noise Predictions and Calculation of Shielding Effects using a Fast BEM

Abstract: For application in BEM/FMM shielding calculations a simple analytical model for the loading noise of contra rotating open rotors (CRORs) with different rotational speeds is derived. Following previous work of S.L.A. Glegg, the model is formulated in frequency domain and the pressure is approximated by a set of dipoles on circles on the propeller disk. The dipole strength depends on the blade loading function and can be obtained, e.g., by CFD calculations. For arbitrary rotational speeds, the blade loading func… Show more

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Cited by 24 publications
(19 citation statements)
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“…This approach was successfully applied to Contra Rotating Open Rotors (CROR) (where there is a complex interaction between the two propellers) in frequency domain, coupled with a fast-multipole boundary element method (FM-BEM). 3 In contrast to the method used by Lummer at al., 3 the point sources are realized in the finite-differences CAA code PIANO in the time domain enabling also the consideration of inhomogeneous meanflow. This implementation is validated against an analytic solution for simple cases.…”
Section: Introductionmentioning
confidence: 90%
“…This approach was successfully applied to Contra Rotating Open Rotors (CROR) (where there is a complex interaction between the two propellers) in frequency domain, coupled with a fast-multipole boundary element method (FM-BEM). 3 In contrast to the method used by Lummer at al., 3 the point sources are realized in the finite-differences CAA code PIANO in the time domain enabling also the consideration of inhomogeneous meanflow. This implementation is validated against an analytic solution for simple cases.…”
Section: Introductionmentioning
confidence: 90%
“…Thus, using the transfer function the far-field signature near point a can be transformed into a nearfield signature near point c. The partial sum A a (x) near c can then be calculated by integration over the unit sphere using eqn. (33). The signature functions are represented by their values given at collocation pointsŝ i j on the unit sphere, where, e. g., i represents an azimutal position and j a polar position.…”
Section: Fast Multipole Methods (Fmm)mentioning
confidence: 99%
“…A numerically efficient implementation of the ML-FMM is quite complex and it is not possible to go into the details here. Since the DLR Code FMCAS is an almost standard implementation it is possible to refer to the literature, e. g., [44,54,53,33], and to mention only some points where special techniques have been found advantageous. First, the iterative solvers from the 'Portable, Extensible Toolkit for Scientific Computation' (PETSc) were used [6,5,7].…”
Section: Implementation Of the Fmmmentioning
confidence: 99%
“…However, given the gross simplifications of the aircraft geometry used in these models, their accuracy is somewhat questionable. Fortunately, it is possible to accurately calculate scattering numerically using schemes such as those described by Le Garrec and Reboul (49) and also Lummer et al (50) . (63) .…”
Section: Installation Effectsmentioning
confidence: 99%