| Improving the parabolic equation solution for problems involving sloping fluid-solid interfaces. | |
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MedLine Citation:
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PMID: 20330912 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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Several approaches are being investigated for improving the elastic parabolic equation for problems involving sloping fluid-solid interfaces. Approaches based on single scattering and energy conservation provide accurate solutions for problems involving sloping fluid-fluid and solid-solid interfaces, but the mixed-media problem has proven to be more challenging. The energy-conservation approach has been applied previously by deriving a linear equivalent to the nonlinear expression for energy flux. One of the approaches that are currently being investigated is based on going back to the nonlinear expression. Although it would not be practical to solve the full nonlinear scattering problem, promising results have been obtained for the fluid-fluid case with this approach by correcting the amplitude at only one grid point near the interface. With this approach, the nonlinear problem reduces to the evaluation of a quadratic function. Another approach that is being investigated is based on an alternative formulation that involves the vertical displacement and a quantity that is proportional to the normal stress on a horizontal interface. In these variables, the interface conditions across a horizontal interface are first order, and this may facilitate the extension of the single-scattering solution to the mixed-media problem. [Work supported by the Office of Naval Research.]. |
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Authors:
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Michael D Collins; William L Siegmann |
Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: The Journal of the Acoustical Society of America Volume: 127 ISSN: 1520-8524 ISO Abbreviation: J. Acoust. Soc. Am. Publication Date: 2010 Mar |
Date Detail:
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Created Date: 2010-03-24 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7503051 Medline TA: J Acoust Soc Am Country: United States |
Other Details:
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Languages: eng Pagination: 1962 Citation Subset: IM |
Affiliation:
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Naval Res. Lab., Washington, DC 20375, collins@noddy.nrl.navy.milRensselaer Polytechnic Inst., Troy, New York 12180. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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