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GEN-HELS: Improving the efficiency of the CRAFT acoustic holography algorithm via an alternative approach to formulation of the complete general solution to the Helmholtz equation

Posted on:2009-03-22Degree:Ph.DType:Dissertation
University:University of KentuckyCandidate:Chapman, Alexander LloydFull Text:PDF
GTID:1440390002994429Subject:Engineering
Abstract/Summary:
Recently, a sound source identification technique called CRAFT was developed as an advance in the state of the art in inverse noise problems. It addressed some limitations associated with nearfield acoustic holography and a few of the issues with inverse boundary element method.; This work centers on two critical issues associated with the CRAFT algorithm. Although CRAFT employs the complete general solution associated with the Helmholtz equation, the approach taken to derive those equations results in computational inefficiency when implemented numerically. In this work, a mathematical approach to derivation of the basis equations results in a doubling in efficiency. This formulation of CRAFT is termed general Helmholtz equation, least-squares method (GEN-HELS). Additionally, the numerous singular points present in the gradient of the basis functions are shown here to resolve to finite limits.; As a realistic test case, a diesel engine surface pressure and velocity are reconstructed to show the increase in efficiency from CRAFT to GEN-HELS.; Keywords: Inverse Numerical Acoustics, Acoustic Holography, Helmholtz Equation, HELS Method, CRAFT Algorithm.
Keywords/Search Tags:Helmholtz equation, Acoustic holography, GEN-HELS, Complete general solution, CRAFT algorithm, Efficiency, Approach
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