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dc.contributor.authorMitchell, William H.
dc.date.accessioned2018-04-17T23:25:03Z
dc.date.available2018-04-17T23:25:03Z
dc.date.issued2012-08
dc.identifier.urihttp://hdl.handle.net/11122/8316
dc.descriptionThesis (M.S.) University of Alaska Fairbanks, 2012en_US
dc.description.abstractWe begin with an overview of the fluid mechanics governing ice flow. We review a 1985 result due to Balise and Raymond giving exact solutions for a glaciologically-relevant Stokes problem. We extend this result by giving exact formulas for the pressure and for the basal stress. This leads to a theorem giving a necessary condition on the basal velocity of a gravity-induced flow in a rectangular geometry. We describe the finite element method for solving the same problem numerically. We present a concise implementation using FEniCS, a freely-available software package, and discuss the convergence of the numerical method to the exact solution. We describe how to fix an error in a recent published model.en_US
dc.language.isoen_USen_US
dc.subjectGlaciologyen_US
dc.subjectGlaciersen_US
dc.subjectStokes flowen_US
dc.titleExact and numerical solutions for stokes flow in glaciersen_US
dc.typeThesisen_US
dc.type.degreemsen_US
dc.identifier.departmentDepartment of Mathematics and Statisticsen_US
refterms.dateFOA2020-03-05T15:32:55Z


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