Finite difference solutions of the acoustic radiation equation in the near field

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dc.contributor.advisorChilds, S. Bart
dc.contributor.committeeMemberMuster, Douglas F.
dc.contributor.committeeMemberFinch, Robert D.
dc.creatorLu, Y. P.(Yeh-Pei)
dc.date.accessioned2022-10-14T21:27:49Z
dc.date.available2022-10-14T21:27:49Z
dc.date.copyright1968
dc.date.issued1967
dc.description.abstractNumerical methods for the solution of the finite difference approximation to the acoustic radiation equation are discussed. For a spherical radiator, the Gauss-Seidel iterative method and the alternating direction implicit method are employed to solve the discrete approximation of the Helmholtz equation in the near field. Emphasis is on the development of the general numerical method and on the extrapolation scheme used to increase the rate of convergence. Measures of the number of calculations needed for various methods of solution are reported. A discussion of the nature of the acoustic radiation problem in numerical computation is also presented.
dc.description.departmentMechanical Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13848810
dc.identifier.urihttps://hdl.handle.net/10657/12316
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.subjectDifference equations.
dc.subjectAcoustic radiation pressure.
dc.subjectFinite differences.
dc.subjectNear-fields.
dc.titleFinite difference solutions of the acoustic radiation equation in the near field
dc.type.dcmiText
dc.type.genreThesis
dcterms.accessRightsThe full text of this item is not available at this time because it contains documents that are presumed to be under copyright and are accessible only to users who have an active CougarNet ID. This item will continue to be made available through interlibrary loan.
thesis.degree.collegeCollege of Engineering
thesis.degree.departmentMechanical Engineering, Department of
thesis.degree.disciplineMechanical Engineering
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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