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Modeling Arctic sea ice using the material-point method and an elastic-decohesive rheology


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/7636

Modeling Arctic sea ice using the material-point method and an elastic-decohesive rheology

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dc.contributor.author Peterson, Kara
dc.date.accessioned 2009-01-29T17:59:07Z
dc.date.available 2009-01-29T17:59:07Z
dc.date.issued 2009-01-29T17:59:07Z
dc.date.submitted December 2008
dc.identifier.uri http://hdl.handle.net/1928/7636
dc.description.abstract Sea ice has an important effect on global climate by reducing the heat transfer between the atmosphere and ocean and by reflecting incoming solar radiation. Additionally, sea ice can be an important navigational concern. For both of these reasons accurate and efficient models for sea ice are required. Current models have a number of limitations. In particular, the constitutive models used generally treat ice as isotropic when in fact the main observational features of ice are anisotropic leads and ridges. Also, the equations are typically solved using Eulerian methods that generate numerical errors when solving the transport equations for sea ice parameters related to ice thickness. To address these limitations the approach advocated here is to use an elastic-decohesive constitutive model for the ice and solve with the material-point method (MPM). MPM is a numerical method that uses two descriptions of the continuum to combine the best features of Lagrangian and Eulerian methods. Unconnected Lagrangian material points carry mass, velocity, stress, and other internal variables throughout the calculation. The material points model advection naturally, allow the determination of a sharp ice boundary, and can handle large deformations. The momentum equation is solved on a background grid to keep the computational work linear in the number of material points. The elastic-decohesive constitutive model is an anisotropic model that allows for explicit representation of leads in the sea ice. This is combined with an energy conserving thermodynamic model and an ice thickness distribution for a complete sea ice model. Calculations of ice deformation for a region in the Beaufort Sea are used to illustrate the model. en_US
dc.description.sponsorship National Science Foundation, grant DMS-0222253 UNM Dean's Dissertation Fellowship en_US
dc.language.iso en_US en_US
dc.subject sea ice en_US
dc.subject material-point method en_US
dc.subject elastic-decohesive en_US
dc.subject strong discontinuities en_US
dc.subject.lcsh Sea ice--Arctic Regions--Mathematical models
dc.subject.lcsh Ocean-atmosphere interaction--Arctic regions--Mathematical models.
dc.subject.lcsh Material point method.
dc.subject.lcsh Sea ice--Beaufort Sea--Mathematical models.
dc.title Modeling Arctic sea ice using the material-point method and an elastic-decohesive rheology en_US
dc.type Dissertation en_US
dc.description.degree Doctor of Philosophy Mathematics en_US
dc.description.level Doctoral en_US
dc.description.department University of New Mexico. Dept. of Mathematics and Statistics en_US
dc.description.advisor Sulsky, Deborah
dc.description.committee-member Schreyer, Howard
dc.description.committee-member Embid, Pedro
dc.description.committee-member Simanca, Santiago

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