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dc.contributor.advisorCollis, Jon M.
dc.contributor.authorMoran, Daniel
dc.date.accessioned2007-01-03T04:21:01Z
dc.date.accessioned2022-02-03T11:51:00Z
dc.date.available2013-12-01T04:18:44Z
dc.date.available2022-02-03T11:51:00Z
dc.date.issued2012
dc.date.submitted2012
dc.identifierT 7129
dc.identifier.urihttps://hdl.handle.net/11124/76829
dc.descriptionIncludes bibliographical references (pages 51-52).
dc.description.abstractAn area of research in ocean acoustics is on solution techniques for environments with sloping seafloors. In these range-dependent environments the oceanic waveguide varies in the direction of propagation and exact analytic solutions do not exist. In order to enforce continuity conditions at the seaoor, the environment is approximated as a series of range-independent regions. An alternative to this approach, the mapping solution [M. D. Collins et al., JASA 107] applies a change of variables that results in a vertical translation of the environment and makes it easier to enforce ocean bottom interface conditions. An alternate mapping approach that uses a characteristic depth length scale is considered here. In contrast to the earlier mapping solution, the new approach uses a change of variables in which the depth variable is scaled relative to the depth of the bottom interface. The earlier approach distorted the surface, whereas the new mapping does not, which is a potential improvement. Along with the simplification of bottom interface conditions in both approaches, extra terms arising from the mapping are neglected. The new approach is implemented in a parabolic equation solution and is benchmarked against an existing solution. The accuracy of this new approach is established initially for problems involving fluid sediments.
dc.format.mediummasters theses
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.relation.ispartof2010-2019 - Mines Theses & Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectscience
dc.subjectmathematics
dc.subjectmath
dc.subjectcomputer
dc.subjectwater
dc.subjectacoustics
dc.subject.lcshWaves -- Mathematics
dc.subject.lcshUnderwater acoustics
dc.subject.lcshDifferential equations, Parabolic -- Numerical solutions
dc.titleScaled mapping approach for treating sloping interfaces in range-dependent parabolic equation solutions, A
dc.typeText
dc.contributor.committeememberMartin, P. A.
dc.contributor.committeememberGanesh, Mahadevan
dcterms.embargo.terms2013-12-01
dcterms.embargo.expires2013-12-01
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines
dc.rights.access1-year embargo


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