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PRECONDITIONING THE HELMHOLTZ EQUATION

✍ Scribed by K.J. Baumeister; K.L. Kreider

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
333 KB
Volume
209
Category
Article
ISSN
0022-460X

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✦ Synopsis

An 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. It is one order of magnitude faster than a previously developed parabolic preconditioning approach. Optimization and an error analysis of the preconditioning factors are present. For validation, the method is applied to sound propagation in a 2-D semi-infinite hard wall duct and a soft-walled sound absorbing duct.

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