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Preconditioning the Helmholtz Equation for Rigid DuctsAn innovative hyperbolic preconditioning technique is developed for the numerical solution of the Helmholtz equation which governs acoustic propagation in ducts. Two pseudo-time parameters are used to produce an explicit iterative finite difference scheme. This scheme eliminates the large matrix storage requirements normally associated with numerical solutions to the Helmholtz equation. The solution procedure is very fast when compared to other transient and steady methods. Optimization and an error analysis of the preconditioning factors are present. For validation, the method is applied to sound propagation in a 2D semi-infinite hard wall duct.
Document ID
19980041420
Acquisition Source
Legacy CDMS
Document Type
Technical Memorandum (TM)
Authors
Baumeister, Kenneth J. (NASA Lewis Research Center Cleveland, OH United States)
Kreider, Kevin L. (Akron Univ. Akron, OH United States)
Date Acquired
September 6, 2013
Publication Date
March 1, 1998
Subject Category
Acoustics
Report/Patent Number
E-10501
NASA/TM-107349
NAS 1.15:107349
Funding Number(s)
PROJECT: RTOP 505-62-52-00
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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