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A numerical solution method for acoustic radiation from axisymmetric bodiesA new and very efficient numerical method for solving equations of the Helmholtz type is specialized for problems having axisymmetric geometry. It is then demonstrated by application to the classical problem of acoustic radiation from a vibrating piston set in a stationary infinite plane. The method utilizes 'Green's Function Discretization', to obtain an accurate resolution of the waves using only 2-3 points per wave. Locally valid free space Green's functions, used in the discretization step, are obtained by quadrature. Results are computed for a range of grid spacing/piston radius ratios at a frequency parameter, omega R/c(sub 0), of 2 pi. In this case, the minimum required grid resolution appears to be fixed by the need to resolve a step boundary condition at the piston edge rather than by the length scale imposed by the wave length of the acoustic radiation. It is also demonstrated that a local near-field radiation boundary procedure allows the domain to be truncated very near the radiating source with little effect on the solution.
Document ID
19950023733
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Caruthers, John E.
(Tennessee Univ. Space Inst. Tullahoma, TN, United States)
Raviprakash, G. K.
(Tennessee Univ. Space Inst. Tullahoma, TN, United States)
Date Acquired
September 6, 2013
Publication Date
May 1, 1995
Publication Information
Publication: NASA. Langley Research Center, ICASE(LaRC Workshop on Benchmark Problems in Computational Aeroacoustics (CAA) p 245-254 (SEE N95-30133 10-71)
Subject Category
Acoustics
Accession Number
95N30154
Funding Number(s)
CONTRACT_GRANT: NAG3-1516
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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