NASA Technical Reports Server (NTRS) : Preconditioning pdf

NASA Technical Reports Server (NTRS) : Preconditioning

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Description of the Book:

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 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

• Creator/s: NASA Technical Reports Server (NTRS
• Date: 3/1/1998
• Year: 1998
• Book Topics/Themes: NASA Technical Reports Server (NTRS), ACOUSTIC PROPAGATION, DUCTS, HELMHOLTZ EQUATIONS, FINITE DIFFERENCE THEORY, PRECONDITIONING, ERROR ANALYSIS, RIGID STRUCTURES, CONVERGENCE, STABILITY, WAVE PROPAGATION, STEADY STATE, Baumeister, Kenneth J., Kreider, Kevin L

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