Show simple item record

dc.contributor.advisorMartin, P. A.
dc.contributor.advisorCollis, Jon M.
dc.contributor.authorDenning, Dylan
dc.date.accessioned2007-01-03T07:15:51Z
dc.date.accessioned2022-02-03T12:50:39Z
dc.date.available2007-01-03T07:15:51Z
dc.date.available2022-02-03T12:50:39Z
dc.date.issued2015
dc.identifierT 7782
dc.identifier.urihttps://hdl.handle.net/11124/17141
dc.description2015 Spring.
dc.descriptionIncludes illustrations.
dc.descriptionIncludes bibliographical references (page 39).
dc.description.abstractWaves in a density stratified fluid, termed internal gravity waves, reflected by a sloping plane make an angle with the horizontal equal to the angle between the incident wave and the horizontal. We add a perturbation to the plane small in size when compared to the amplitude of the wave motion. An asymptotic expansion is used and problems are derived up to two orders O(1) and O(ε). The leading order problem is the same as the reflection problem by a flat plane. The problem on O(ε) is a radiation problem that we solve using Fourier transforms.
dc.format.mediumborn digital
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.subjectreflections
dc.subjectinternal gravity waves
dc.subjectbumpy
dc.subject.lcshGravity waves
dc.subject.lcshWave equation
dc.subject.lcshAsymptotic expansions
dc.subject.lcshDifferential equations, Partial
dc.subject.lcshFourier transformations
dc.subject.lcshPerturbation (Mathematics)
dc.titleReflections of internal gravity waves off bumpy surfaces
dc.typeText
dc.contributor.committeememberPankavich, Stephen
dc.contributor.committeememberStrong, Scott A.
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines


Files in this item

Thumbnail
Name:
Denning_mines_0052N_10735.pdf
Size:
282.5Kb
Format:
PDF
Description:
Reflections of internal gravity ...

This item appears in the following Collection(s)

Show simple item record